Equations of Motion Worksheet Essay Example for Free

Equations of Motion Worksheet Essay 1. A car moving at a velocity of 25 m/s, accelerates at a rate of 6 m/s2. Find its velocity after 3s. 2. An object is dropped from rest. Calculate its velocity after 2.5s if it is dropped: a. On Earth, where the acceleration due to gravity is 9.8m/s2. b. On Mars, where the acceleration due to gravity is 3.8m/s2. 3. A motorbike is travelling with a velocity of 3m/s. It accelerates at a rate of 9.3m/s for 1.8s. Calculate the distance it travels in this time. 4. A Tesla Roadster car accelerates from rest at a rate of 7.1m/s2 for a time of 3.9s. Calculate the distance it travels inn this time. 5. A bullet accelerates at a rate of 90,000m/s2 from rest. Calculate its velocity if it travels a distance of 0.5m while accelerating. 6. An aircraft is travelling along a runway at a velocity of 25m/s. It accelerates at a rate of 4m/s2 for a distance of 750m before taking off. Calculate its take-off speed. 7. A car is travelling at a speed of 21m/s. It accelerates at an average rate of 3m/s2 for a time of 4 seconds. Find the distance it travels. 8. A car accelerates at a rate of 10m/s2 for a time of 4s. It reaches a speed of 52 m/s. Calculate its initial speed. 9. A bullet is at rest. It travels a distance of 0.34m in a time of 0.0095 seconds. Calculate its acceleration. 10. A falcon is diving at a speed of30m/s. It accelerates at a rate of 40m/s2 and reaches a speed of 100m/s. Calculate the distance it travels during its acceleration. 11. A snail is at rest. It accelerates at a rate of 0.00075m/s2. Calculate the time it takes to reach a speed of 0.0135m/s. 12. A blue shark accelerates at a rate of 16m/s2 for a time of 0.8s. During this time it travels a distance of 11.52m. Calculate its initial speed. 13. A car is travelling at a speed of 30m/s. It decelerates at a rate of 12m/s2. Calculate the time taken for the car to come to rest. 14. A stone is thrown vertically upwards. It decelerates at a rate of 9.8m/s2. It reaches a greatest height of 16.53m. Calculate its initial speed. 15. A rubber toy pops up to a maximum height of 2.51m. Find its initial velocity.

Tibetan Culture and Art :: essays research papers

Tibetan Culture and Art Tibetan culture and art possess a history of more than 5,000 years, and the Tibetan Buddhism has had the greatest influence on this culture. The development of Tibetan culture and art proceeded through four stages: prehistoric civilization before the 7th century; cultural stability during the Tubo Kingdom; high development during the Yuan Dynasty; and the height of cultural achievement attained during the Qing Dynasty. The prehistoric stage includes all development from the ancient civilization that appeared during the New Stone Age some 5,000 years ago to the founding of the Tubo Kingdom in the 7th century. A salient feature of this civilization is the founding and development of the Bon, an animist religion. Findings from the ruins of the Karub New Stone Age Site in Qamdo and rock paintings found in Ngari, which have been dated from all periods from the late Old Stone Age to the Tubo Kingdom in the 7th century, all display a concentrated expression of the achievements of prehistoric civilization and reveal the budding of prehistoric art. The Tubo Kingdom in the 7th century was an important period which witnessed the creation of Tibetan writing and the spread into Tibet of Buddhism from India and China's Tang Dynasty. Collusion and mutual assimilation of different cultures and arts constituted a major feature of this period. Cultural and artistic achievements made during this period of time include the Jokhang, Ramoche, Changzhug and Samye monasteries. These monasteries are a combination of architecture, paintings and sculptures, the styles of which were disseminated in accordance with the world model of Buddhism. The major architectural features of these monasteries were built using a style unique to Tibet, and also incorporating influences from India and the Central Plains of the Tang Dynasty. A unique culture was thus created and firmly planted in the soil of Tibet. During the Yuan Dynasty (1271-1368), the culture and art of Tibetan Buddhism developed rapidly. Tibet's first encyclopedia-like catalogue on Gangyur and Dangyur of Tibetan Tripitaka was compiled; Buddhist masters who played key roles in the development of Tibetan culture and art, including Sagya Pandit Gonggar Gyaincain, Purdain Rinqenzhub and Zongkapa, emerged. Works of historical significance created during this period of time include the History on Buddhism by Purdain, the Green Annals, the Red Annals, the New Red Annals and the Records on Five Sutras in Tibet. There was an exuberance of literary works, including mottos, philosophic poems, fables and stories.

Thermodynamics And Kinetics Of Materials And Processes Environmental Sciences Essay

In natural philosophies, thermodynamics ( from the Greek I?I ­I?I?I · therme, intending â€Å" heat † and I?I?I?I ±I?I?I‚ , dynamis, intending â€Å" power † ) is the survey of energy transition between heat and mechanical work, and later the macroscopic variables such as temperature, volume and force per unit area. Its primogenitor, based on statistical anticipations of the corporate gesture of atoms from their microscopic behaviour, is the field of statistical thermodynamics ( or statistical mechanics ) , a subdivision of statistical natural philosophies. Thermodynamicss is the scientific discipline which relates kineticss of fluids with thermic and energy, thermodynamics trades with heat, work, and power. In this study a set of statements and expressions are described and explained.State of a System, 0th jurisprudence of thermodynamics:The zeroth jurisprudence of thermodynamics provinces that when two organic structures have equality of temperature with a 3rd organic structure, they in bend equality of temperature with each other [ Gordon J. Van Wylen ] . If A, B, and C are systems or organic structures, we said that the organic structures or the systems are in thermic equilibrium or changeless temperature, A and B in thermic equilibrium and B and C are in thermic equilibrium besides. if T ( A ) = T ( B ) and T ( B ) = T ( C ) so T ( A ) = T ( C ) .Figure ( 1 ) : Thermal equilibrium between two organic structures.Work, Heat, 1th jurisprudence of thermodynamics:The first jurisprudence of thermodynamics provinces that during a rhythm a system ( command mass ) undergoes, the cyclic integral of the heat is relative to the cyclic integral of the work [ Gordon J. Van Wylen ] . In another words the preservation of energy provinces that the alteration in the internal energy of any closed system equal the heat added to the system minus the work done by the system. the undermentioned equation shows that: See Piston cylinder system with H2O inside the cylinder, province ( 1 ) as shown in figure ( 2 ) below shows the initial province of the system ( H2O has internal energy ) and it is in equilibrium province, when an external burden applied to the Piston the system transferred to province ( 2 ) and work and heat transferred into and from the system to make to the 2nd equilibrium place ( province 2 ) .Figure ( 2 ) : Application of the first jurisprudence of thermodynamics.Internal Energy, Expansion Work:The internal energy is a thermodynamic belongings ; besides it can be defined as the sum of random energy included in certain sum of the mater due to the internal motion of atoms. Besides it is extended belongings because it depends on the mass of the system. The sum of internal energy of any stuff as thermodynamic belongings depends on the mass of the organic structure and it specific heat capacity, for illustration if we increase the temperature of metal its internal energy increased based on the temperature difference, besides metals have high specific heat capacity than liquids.Figure ( 3 ) : Comparison between metal and ice based on the internal energy.Heat content:The heat content is defined as the heat transportation during the procedure which is given in the footings of the alteration in internal energy, force per unit area and volume [ Gordon J. Van Wylen ] . The undermentioned equation shows the chief parametric quantities of heat content. The thermodynamic potency H was introduced by the Dutch physicist Kamerlingh Onnes in early twentieth century in the undermentioned signifier: Where Tocopherol represents the energy of the system. In the absence of an external field, the heat content may be defined, as it is by and large known, by: where ( all units given in SI ) H is the heat content ( in Js ) , U is the internal energy ( in Js ) , P is the force per unit area of the system, ( in Pas ) , and V is the volume, ( in three-dimensional metres ) . Form pV ( sometimes called â€Å" flow work † ) is motivated by the undermentioned illustration of an isobaric procedure. Gas bring forthing heat ( by, for illustration, a chemical reaction ) in a cylinder pushes a Piston, keeping changeless force per unit area P and adding to its thermic energy. The force is calculated from the country A of the Piston and definition of force per unit area P = F/A: the force is F = pA. By definition, work W done is W = Fx, where ten is the distance traversed. Uniting gives W = pax, and the merchandise Ax is the volume traversed by the Piston: Ax = V. Thus, the work done by the gas is W = pV, where P is a changeless force per unit area and V the enlargement of volume. Including this term allows the treatment of energy alterations when non merely temperature, but besides volume or force per unit area are changed. The enthalpy alteration can be defined I†H = I†U + W = I†U + I† ( pV ) , where I†U is the thermic energy due to warming of the gas during the enlargement, and W the work done on the Piston.Joule-Thomson Experiment:Joule-Thomson experiment is used to find the C dioxide coefficient. And comparing the experimental value with the deliberate value. Figure ( 3 ) shows the experimental setup of Joule-Thomson experiment.Figure ( 3 ) : Joule-Thomson experimental apparatus ( Taylor ) .The fluid allowed fluxing steadily from a high force per unit area to low force per unit area through a porous stopper inserted in a pipe. At steady conditions the pipe is insulated from any heat loss to environing, the flow speed should be low so the differences in kinetic energy between the upstream and the downstream are negligible. Measurements ‘ of temperature and force per unit area up watercourse and downstream the media should be taken ( G.F.C. Rogers ) . Ploting curves for both warming and chilling procedure for force per unit area and temperature of the gas, the aforethought curves are shown in figure ( 4 ) .Figure ( 4 ) : Isenthalpic curves and the enthalpy inversion curve ( Taylor ) .Adiabatic Procedures:Adiabatic means the procedure during which the heat is prevented from traversing the boundary of the system ( G.F.C. Rogers ) . The system is thermally insulated from the environing conditions, so for adiabatic procedure the first jurisprudence of thermodynamics is reduced to the alteration in internal energy peers the work done by the system or on the system.Figure ( 5 ) : Adiabatic procedure in P-V diagram ( G.F.C. Rogers ) .What is Thermochemistry:Thermochemistry is the survey of energy produced or absorbed in chemical reactions and any physical transmutation such as runing or boiling. Thermochemistry, by and large, is concerned with the energy exchange attach toing transmutations, such as commixture, stage passages, chemical r eactions, and including computations of such measures as the heat capacity, heat of burning, heat of formation, heat content, and free energy ( E.H. Cole ) . Thermochemistry remainders on two generalisations. Stated in modern footings, they are as follows: Lavoisier and Laplace ‘s jurisprudence ( 1780 ) : The energy alteration attach toing any transmutation is equal and antonym of energy alteration attach toing the contrary procedure. Hess ‘s jurisprudence ( 1840 ) : The energy alteration attach toing any transmutation is the same whether the procedure occurs in one measure or many.Figure ( 6 ) : Energy motion ( www.howstuffworks.com ) .What is Calorimetry:The word calorimetry was derived from the lateen word calor which means heat and Greek word metry which means step ; it is the scientific discipline of mensurating the sum of heat. To mensurate the energy produced from certain fuel or affair calorimeter is used. Calorimeter is a device consists of barrel filled with H2O and a bomb filled with fuel ( oil fuel or coal ) besides and electric circuit is used to bring forth electrical signal to fire the discharge inside the bomb, after that the heat transportations to the H2O inside the calorimeter, by mensurating the initial and concluding H2O temperature and cognizing the H2O sum in the calorimeter, the sum of heat green goods from the fuel discharge can be estimated. The figure below shows the calorimeter.Fi gure ( 7 ) : Calorimeter ( E.H. Cole ) .Second Law of Thermodynamicss:The 2nd jurisprudence of thermodynamics is the jurisprudence of heat and power, it can be expressed as: It is impossible to do an engine to run in a ( thermodynamics ) rhythm, in which the lone interactions are positive work done on the milieus and heat transportation from a system which remains at changeless temperature ( E.H. Cole ) .Figure ( 8 ) : The schematic of 2nd jurisprudence of thermodynamics ( www.howstuffworks.com ) .The undermentioned expression of the jurisprudence has been proposed: It is impossible to build a heat-engine rhythm which will bring forth merely the consequence of lifting a weight ( net work or shaft work ) if heat is exchanged with a individual thermal reservoir ( Max Planck ) , and heat can non of itself flow from a colder to a hotter system ( Rudolf Clausius ) .Carnot Cycle:Said Carnot a Gallic scientist of the early 19th century, he proposed a heat engine rhythm based on the 2nd jurisprudence of thermodynamics. Carnot said that the work by the heat engine rhythm increased by increasing the temperature differences between the hot and the cold reservoirs ( Leonard ) . So the efficiency of Carnot rhythm depends on the temperatures of the hot and cold reservoirs.Figure ( 9 ) : Caront rhythm in Pressure-Volume diagram, ( www.howstuffworks.com ) .The public presentation of heat engine rhythm nine expressed as the dividend divided by the cost, the intent of power rhythm is to present shaft work, which is the dividend. The cost depends on the heat suppl y from the hot reservoir.Third jurisprudence of Thermodynamicss and absolute information:The Third Law of Thermodynamics is the lesser known of the three major thermodynamic Torahs. Together, these Torahs help organize the foundations of modern scientific discipline. The Torahs of thermodynamics are absolute physical Torahs everything in the discernible existence is capable to them. Like clip or gravitation, nil in the existence is exempt from these Torahs. In its simplest signifier, the Third Law of Thermodynamics relates the information ( entropy ) of affair to its absolute temperature ( G.F.C Rogers ) . The Third Law of Thermodynamics refers to a province known as â€Å" absolute nothing. † This is the bottom point on the Kelvin temperature graduated table. The Kelvin graduated table is absolute, intending 0A ° Kelvin is mathematically the lowest possible temperature in the existence. This corresponds to about -273.15A ° Celsius, or -459.7 Fahrenheit. In actuality, no object or system can hold a temperature of nothing Kelvin, because of the Second Law of Thermodynamics. The Second Law, in portion, implies that heat can ne'er spontaneously move from a colder organic structure to a hotter organic structure. So, as a system approaches absolute zero, it will finally hold to pull energy from whatever systems are nearby. If it draws energy, it can ne'er obtain absolute nothing. So, this province is non physically possible, but is a mathematical bound of the existence. In its shortest signifier, the Third Law of Thermodynamics says: â€Å" The information of a pure perfect crystal is zero ( 0 ) at nothing Kelvin ( 0A ° K ) . † Entropy is a belongings of affair and energy discussed by the Second Law of Thermodynamics. The Third Law of Thermodynamics means that as the temperature of a system approaches absolute zero, its information approaches a changeless ( for pure perfect crystals, this invariable is zero ) . A pure perfect crystal is one in which every molecule is indistinguishable, and the molecular alliance is absolutely even throughout the substance. For non-pure crystals, or those with less-than perfect alliance, there will be some energy associated with the imperfectnesss, so the information can non go nothing. The Third Law of Thermodynamics can be visualized by believing about H2O. Water in gas signifier has molecules that can travel about really freely. Water vapour has really high information ( entropy ) . As the gas cools, it becomes liquid. The liquid H2O molecules can still travel about, but non as freely. They have lost some information. When the H2O cools farther, it becomes solid ice. The solid H2O molecules can no longer travel freely, but can merely vibrate within the ice crystals. The information is now really low. As the H2O is cooled more, closer and closer to absolute zero, the quiver of the molecules diminishes. If the solid H2O reached absolute nothing, all molecul ar gesture would halt wholly. At this point, the H2O would hold no information ( entropy ) at all.Standards of Equilibrium:The province of system is determined by the molecules within the system boundaries. The equilibrium has different significances, if we have material in solid or liquid stage we said that stuff is in stage equilibrium if its stage does non alter. Besides if the province of the stuff is changeless we said that stuff in thermodynamic equilibrium ( William C. Reynolds ) . The macroscopic belongingss that can in rule be measured as a map of the thermodynamic equilibrium province and that are in some manner relevant to energy are called thermodynamic equilibrium. Any conglomerate characteristic of all the molecules, such as their entire energy, is a thermodynamic belongings. When the province is fixed the thermodynamics belongingss are fixed.13. Helmholtz and Gibbs free energy:The thermodynamics potencies consists of four measures, these measures are internal energy, the heat content, the Helmholtz free energy and the Gibbs free energy. So Helmholtz and Gibbs are portion of thermodynamics possible. The Helmholtz free energy depends on the internal energy, temperature, and information. Equation below shows the relation between internal energy, absolute temperature, and information in Helmholtz free energy equation. Gibbs free energy as shown in equation below depends on internal energy, absolute temperature, information, absolute force per unit area, and the concluding volume. The four thermodynamic potencies are related by beginnings of the â€Å" energy from the environment † term TS and the â€Å" enlargement work † term PV. A mnemotechnic diagram suggested by Schroeder can assist you maintain path of the relationships between the four thermodynamic potencies.14. Hess ‘s jurisprudence:Hess ‘s jurisprudence states that the energy alteration in any chemical or physical reaction does non depend on the way or figure of stairss required to finish this reaction.Figure ( 10 ) : Chemical reaction stairss with energy sum.The I†H for a individual reaction can be calculated from the difference between the heats of formation of the merchandises minus the heat of formation of the reactants. In mathematical footings:15. Clausius-Clapeyron equation:The Clausius-Clapeyron equation relates the fluctuation of force per unit area with temperature along the saturated-vapor ( or liquid ) line to the heat content and volume of vaporisation. Th is equation is utile in building a graphical or tabular equation of province from a lower limit of experimental measurings ( Williams C. Reynolds ) . The clausius-Clapeyron equation allows gauging the vapor force per unit area at any temperature if the heat content of vaporisation and vapor force per unit area at some temperatures are known,16. Ideal Solution and Non-ideal Solution:In chemical science, an ideal solution or ideal mixture is a solution in which the heat content of solution ( or â€Å" heat content of blending † ) is zero ; [ 1 ] the closer to zero the heat content of solution is, the more â€Å" ideal † the behaviour of the solution becomes. Equivalently, an ideal mixture is one in which the activity coefficients ( which step divergence from ideality ) are equal to one ( Wikipedia, the free encyclopaedia ) . A solution whose behaviour does non conform to that of an ideal solution ; that is, the behaviour is non predictable over a broad scope of concentrations and temperatures by the usage of Raoult ‘s jurisprudence. In contrast to ideal solutions, where volumes are purely linear and commixture is ever complete, the volume of a non-ideal solution is non, in general, the simple amount of the volumes of the component pure liquids and solubility is non guaranteed over the whole composing scope.Figure ( 11 ) : Behavior of non ideal solutions.17. Statistical mechanics:Statistical mechanics or statistical thermodynamics is a mathematical tool trades with high population or informations. It ‘s related with macroscopic thermodynamic belongingss such as work, information, free energy, and heat. Ludwig Boltzmann is the male parent of statistical thermodynamics ; he started the work in statistical mechanics in 1870.18. Raoult ‘s Law /MIXTURES:The partial vapour force per unit area of a constituent in a mixture is equal to the vapour force per unit area of the pure constituent at that temperature multiplied by its mole fraction in the mixture. Raoult ‘s Law merely works for ideal mixtures In equation signifier, for a mixture of liquids A and B, this reads ( hypertext transfer protocol: //www.chemguide.co.uk/physical/phaseeqia/idealpd.html ) : In this equation, PA and PB are the partial vapor force per unit areas of the constituents A and B. In any mixture of gases, each gas exerts its ain force per unit area. This is called its partial force per unit area and is independent of the other gases present. Even if you took all the other gases off, the staying gas would still be exercising its ain partial force per unit area. The entire vapor force per unit area of the mixture is equal to the amount of the single partial force per unit areas. The Po values are the vapour force per unit areas of A and B if they were on their ain as pure liquids. xA and xB are the mole fractions of A and B. That is precisely what it says it is – the fraction of the entire figure of moles present which is A or B. mole fraction utilizing, for illustration:19. Reversible/irreversible/Adiabatic/isobaric/isothermal/Isochoric procedures:The reversible procedure is the procedure that the system takes topographic point one time and returns to its original province without any alteration in the system or environing [ Gordon J. Van Wylen ] . The irreversible procedure, this procedure done when the system undergoes certain procedure it transferred from province and can non return to its original province without any alteration in the system or environing [ Gordon J. Van Wylen ] . Adiabatic procedure, this done when the system transferred from one province to another without heat transportation to environing [ Gordon J. Van Wylen ] . Isobar procedure, it is a procedure with changeless force per unit area [ Gordon J. Van Wylen ] . Isothermal procedure, the system transferred from province to another at changeless temperature [ Gordon J. Van Wylen ] . Isochoric procedure, procedure with changeless volume [ Gordon J. Van Wylen ] .Figure ( 12 ) : The thermodynamics processes [ Gordon J. Van Wylen ] .20. Heat of Vaporization:Heat of vaporisation or latent heat of vaporisation is the sum of heat needed to reassign certain sum of affair from liquid province to vapor province. Heat of vaporisation depends on the affair itself, its sum ( mass ) , and the temperature. Table below shows the heat of vaporisation of H2O at different temperatures [ Gordon J. Van Wylen ] . No. Temperature ( Co ) Heat of Vaporization kJ/kg ) 1 5 2489.6 2 10 2477.7 3 15 2465.9 4 20 2454.1 5 25 2442.3 6 30 2430.5Table ( 1 ) : Heat of Vaporization for H2O at different temperatures [ Gordon J. Van Wylen ] .21. Restricting Procedures:Restricting procedure done when fluid go throughing through valve or sudden reduction in country, the flow is steady and the force per unit area Idaho drooped across the valve ; in the choking procedure the heat content is changeless, so the choking procedure is a procedure with changeless heat content. One application of restricting procedure is the restricting calorimeter, restricting calorimeter is a device used to find the quality of a two stage liquid-vapor mixture [ Gordon J. Van Wylen ] .Figure ( 13 ) : Restricting procedure [ Gordon J. Van Wylen ] .22. Joule Thomson Coefficient:Joule-Thomson coefficient relates to the choking procedure, it ‘s the consequence of divergence of temperature bead to coerce bead for a steady province, steady flow through partly opening valve. The equation below shows Joule-Thomson coefficient: Positive Joule-Thomson coefficient means that there is temperature bead during the choking procedure, but when it is negative the temperature rises during the restricting procedure [ Gordon J. Van Wylen ] .23. Maxwell ‘s Relationss:Maxwell dealingss are mathematical dealingss for compressible fluids, this relation are related four belongingss, the thermodynamics belongingss in Maxwell dealingss are force per unit area ( P ) , Temperature ( T ) , specific volume ( V ) , and information ( S ) . Maxwell dealingss are summarized in three positions as shown below, the first position the basic equation, the 2nd position the Maxwell relation, and the last position is the working equation [ Gordon J. Van Wylen ] .Basic equationMaxwell RelationWorking EquationWhere: Uracils: internal energy. CP: specific heat under changeless force per unit area. Thymine: Temperature. Curriculum vitae: specfic heat under changeless specific volume. Phosphorus: Pressure. Volts: Volume. Second: Information. Hydrogen: Enthaply.24. Chemical equilibrium in gases:Thermodynamicss equilibrium are established when no alteration in macroscopic belongings is obtained that is intend the system is isolated from the milieus. The equilibrium is classified to three types ‘ mechanical equilibrium, chemical equilibrium, and thermic equilibrium. In chemical equilibrium there is no reaction or affair transportation from one portion of the system to another portion ( P.K. NAG ) . The system may be in mechanical equilibrium yet the system may undergo self-generated Change of internal construction due to chemical potency, such as chemical reaction or a transportation of affair, the system so is said to be in chemical equilibrium if all interactions or alterations in the system cease to take topographic point. A burning mixture of O and gasolene is non in chemical equilibrium one time the mixture is ignited.25. Statements of the Second Law/ Kelvin /Planck/Clausius Statement:Kelvin-Planck statement:It is impossible to build a device which, runing in a rhythm, will bring forth no consequence other that raising of a weight and chilling of heat reservoir ( M.L. Mathur ) . It is impossible to build a cyclic device whose consequence is to pull out heat from a heat reservoir and wholly change over into work ( M.L. Mathur ) .Clausius statementIt is impossible to build a cyclic device which will bring forth no consequence other than the transportation of heat from a low temperature beginning to high temperature heat beginning ( M.L. Mathur ) . The heat can non flux by itself ( with out the aid of an external bureau ) from low temperature to high temperature ( M.L. Mathur ) .Figure ( 14 ) : This is non possible ( Kelvin-Planck ) .26. Information of a Mixture of Ideal Gases/ Gibbs-Dalton ‘s Law:The Gibbs-Dalton equation trades with gas mixture belongingss, the entire thermodynamic belongings of a mixture of ideal gases is the amount of the belongingss that the single gases would hold if each occupied the entire mixture volume entirely at the mixture temperature, ( M.L. Mathur ) , besides the mathematical signifier of Gibbs-Dalton equation as shown below:No.MeasureEquation1 Internal Energy 2 Heat content 3 Specific heat under changeless force per unit area 4 Specific heat under changeless specific volumeTable ( 2 ) : Gas mixture equations ( M.L. Mathur ) .27. Handiness:Handiness is the system maximal available energy. This non merely depends on the given province of the system but besides on the concluding province to which the system has to be taken and mode in which it is done. When handiness of the system is required to be determined so the concluding province of system ought to be dead province ( M.L. Mathur ) . The undermentioned points should be observed when finding the handiness of any system: The concluding province of the system is dead province. The system undergoes alteration of province by a reversible procedure. The construct of handiness introduce wholly a new and good construct in the field of heat engines where overall thermic efficiency, obtained on the footing of entire chemical energy of the fuel was the lone footing for comparing engines and their public presentation.28. Real Gases /Virial Equation of State /Van der Waals Equation of State:The continuity of liquids and gases were studied by Van der Waals, the equation of equation of province for gas was obtained in 1873, and the general signifier of Van der Waals equation is: Where: a: changeless measures the cohesive forces. B: changeless accounts the volume of gas molecules. V: specific volume. : Universal gas invariable. Thymine: Absolute gas temperature. The restrictions of Van der Waals equation are ( M.L. Mathur ) : The invariables a and B are measured changeless for a substance where as they are non ; this has been proved theoretically every bit good as by experimentation. The p-v secret plan of Van der Waals equation differs from Andrews secret plan. The value of the critical volume obtained from Van der Waals equation Al coefficient is 3b as compared to its experimental determine value of 2b for the moist substances. The critical coefficient is 0.375 for Van der Waals gas equation but from experiments it was from 0.2 to 0.3 for most substances.29. Fugacity:Fugacity ( degree Fahrenheit ) was used in the first clip by Lewis, the value of fugacity approaches the value of force per unit area as the missive tends to zero, when the ideal gas conditions applies. The derived function of the Gibbs map of an ideal gas undergoing an isothermal procedure is ( P.K.NAG ) : aˆÂ ¦aˆÂ ¦ ( 6 ) aˆÂ ¦aˆÂ ¦.. ( 7 ) For an ideal gas the fugacity f equal the gas force per unit area P, fugacity has the same dimensions as force per unit area.Figure ( 15 ) : Fugacity with temperature.30. Dalton ‘s Law, Raoult ‘s Law, Henry ‘s Law:Dalton states that the force per unit area of a mixture of gases is equal to the amount of the partial force per unit area of each component. This can be easy done utilizing perfect gas equation for component every bit good as for the mixture ( M.L. Mathur ) . Raoult ‘s jurisprudence [ for F. M. Raoult, a Gallic physicist and chemist ] provinces that the add-on of solute to a liquid lessens the inclination for the liquid to go a solid or a gas, i.e. , reduces the freeze point and the vapor force per unit area ( see solution ) . For illustration, the add-on of salt to H2O causes the H2O to stop dead below its normal freezing point ( 0A °C ) and to boil above its normal boiling point ( 100A °C ) . Qualitatively, depression of the freeze point and decrease of the vapour force per unit area are due to a lowering of the concentration of H2O molecules, since the more solute is added, the less the per centum of H2O molecules in the solution as a whole and therefore the less their inclination to organize into a crystal solid or to get away as a gas. Quantitatively, Raoult ‘s jurisprudence states that the dissolver ‘s vapor force per unit area in solution is equal to its mole fraction times its vapor force per unit area as a p ure liquid, from which it follows that the freeze point depression and boiling point lift are straight relative to the mode of the solute, although the invariables of proportion are different in each instance. This mathematical relation, nevertheless, is accurate merely for dilute solutions. The fact that an appropriate solute can both lower the freeze point and raise the boiling point of a pure liquid is the footing for year-round antifreeze for car chilling systems. In the winter the antifreeze lowers the freezing point of the H2O, forestalling it from stop deading at its normal freezing point ; in the summer it guards against furuncle over by raising the boiling point of the H2O. In chemical science, Henry ‘s jurisprudence is one of the gas Torahs, formulated by William Henry in 1803. It states that: At a changeless temperature, the sum of a given gas dissolved in a given type and volume of liquid is straight relative to the partial force per unit area of that gas in equilibrium with that liquid. An tantamount manner of saying the jurisprudence is that the solubility of a gas in a liquid at a peculiar temperature is relative to the force per unit area of that gas above the liquid. Henry ‘s jurisprudence has since been shown to use for a broad scope of dilute solutions, non simply those of gases. An mundane illustration of Henry ‘s jurisprudence is given by carbonated soft drinks. Before the bottle or can is opened, the gas above the drink is about pure C dioxide at a force per unit area somewhat higher than atmospheric force per unit area. The drink itself contains dissolved C dioxide. When the bottle or can is opened, some of this gas escap es, giving the characteristic hushing ( or â€Å" dad † in the instance of a bubbly bottle ) . Because the force per unit area above the liquid is now lower, some of the dissolved C dioxide comes out of solution as bubbles. If a glass of the drink is left in the unfastened, the concentration of C dioxide in solution will come into equilibrium with the C dioxide in the air, and the drink will travel â€Å" level † ( hypertext transfer protocol: //en.wikipedia.org/wiki/Henry's_law ) .31. Lost Work Rate, Irreversibility Rate, Availability Loss:Information is produced as a consequence of irreversibilities present in the procedure, this may explicate with the aid of construct of lost work. The doomed in work is zero in a reversible procedure and it increases with the addition in irreversibility of the procedure till it becomes maximal in instance of wholly irreversible procedure. The lost work is therefore defined as the difference of work obtained in a reversible procedure and existent procedure ( M.L. Mathur ) . The undermentioned notes for the work lost should be taken: For a reversible procedure when the work lost is zero the alteration in information is given by: The information of a system can be increased by two ways, foremost by adding heat to the system or by holding it undergoes an irreversible procedure. The addition in entropy due to work lost is called entropy production. For an adiabatic procedure, the alteration in information is associated with irreversibilities merely.32. Irreversibility and Entropy of an Isolated System:The information of an stray system can ne'er diminish. This is known as the rule of addition of information. An stray system can ever be formed by including any system and its milieus within a individual boundary. Some times the original system which is so merely a portion of the stray system called a subsystem. The system and milieus together include every thing which is affected by the procedure ( P.K. NAG ) . Information may be decreased locally at some part within the stray system. But it must be compensated by a greater addition of information some where within the system so that the net consequence of an irreversible procedure is an entropy addition of the hole system. The entropy addition of an stray system is a step of the extent of an irreversibility of the procedure undergone by the system. The information of an stray system ever increases and becomes a upper limit at the province of equilibrium. When the system is at equilibrium any imaginable alteration information would be zero.33. Reversible and Irreversible Procedures:A reversible procedure ( ideal procedure ) is one which is performed in such a manner that at the decision of the procedure, both the system and milieus may be restored to their initial provinces, with out bring forthing any alterations in the remainder of the existence. Let the stare of a system be represented by A and allow the system be taken to province B by following the way AB. If the system and besides milieus are restored to their initial provinces and no alteration in the existence is produced, so the procedure AiB will be reversible procedure. In the contrary procedure the system has to be taken from province B to A by following the same way BiA ( P.K. NAG ) . Any irreversible ( natural ) procedure carried out with a finite gradient is an irreversible procedure. A reversible procedure, which consists of a sequence of equilibrium provinces, is an idealised conjectural procedure.Figure ( 16 ) : Reversible procedure ( P.K. NAG ) .33. Dynamicss: Chemical reaction rates, half lives:Half-life is the period of clip it takes for a substance undergoing decay to diminish by half. The name originally was used to depict a feature of unstable atoms ( radioactive decay ) , but may use to any measure which follows a set-rate decay. The original term, dating to 1907, was â€Å" half-life period † , which was later shortened to â€Å" half-life † sometime in the early 1950s. Half-lives are really frequently used to depict measures undergoing exponential decay-for illustration radioactive decay-where the half life is changeless over the whole life of the decay, and is a characteristic unit ( a natural unit of graduated table ) for the exponential decay equation. However, a half life can besides be defined for non-exponential decay procedures, although in these instances the half life varies throughout the decay procedure. For a general debut and description of exponential decay, see the article exponential decay. For a general debut and description of non-exponential decay, see the article rate jurisprudence. An exponential decay procedure can be described by any of the undermentioned three tantamount expression: where N0: is the initial measure of the thing that will disintegrate ( this measure may be measured in gms, moles, figure of atoms, etc. ) , National trust: is the measure that still remains and has non yet decayed after a clip T, t1 / 2: is the half life of the decaying measure, I„ : is a positive figure called the mean life-time of the decaying measure, I » : is a positive figure called the decay invariable of the decaying measure.34. Temperature, force per unit area and i?„G:Gibbs equation shows the relation between force per unit area, temperature, and the alteration in free energy. The equation below shows that relation. G ( P, T ) = U + pV a?’ TS which is the same as: G ( P, T ) = H a?’ TS where: Uracil: is the internal energy ( SI unit: J ) P: is force per unit area ( SI unit: pascal ) Volt: is volume ( SI unit: M3 ) Thymine: is the temperature ( SI unit: K ) Second: is the information ( SI unit: J per K ) Hydrogen: is the heat content ( SI unit: J )35. Information and Disorder:Work is a macroscopic construct. Work involves orderly gesture of molecules as in the enlargement or compaction of a gas. The kinetic energy and possible energy of a system represent orderly signifiers of energy. The kinetic energy of a gas is due to the co-ordinated gesture of all the molecules with the same mean speed in the same way. The possible energy is due to vantage place taken by the molecules or supplantings of molecules from their normal place. It may province approximately that the information of a system is a step of the grade of molecular upset bing in the system.Figure ( 17 ) : Information and upset ( www.physcis.com ) .36. Osmotic force per unit area / Arrhenius Law:The Arrhenius equation is a simple, but unusually accurate, expression for the temperature dependance of the rate invariable, and hence, rate of a chemical reaction. The equation was foremost proposed by the Dutch chemist J. H. new wave ‘t Hoff in 1884 ; five old ages subsequently in 1889, the Swedish chemist Svante Arrhenius provided a physical justification and reading for it. Nowadays it is best seen as an empirical relationship. [ 2 ] It can be used to pattern the temperature-variance of diffusion coefficients, population of crystal vacancies, creep rates, and many other thermally-induced processes/reactions. A historically utile generalisation supported by the Arrhenius equation is that, for many common chemical reactions at room temperature, the reaction rate doubles for every 10 grade Celsius addition in temperature ( hypertext transfer protocol: //en.wikipedia.org/wiki/Arrhenius_equation ) . In short, the Arrhenius equation gives â€Å" the dependance of the rate changeless K of chemical reactions on the temperature T ( in absolute temperature, such as Ks or grades Rankine ) and activation energy Ea, as shown below:37. Partition maps:In statistical mechanics, the divider map Z is an of import measure that encodes the statistical belongingss of a system in thermodynamic equilibrium. It is a map of temperature and other parametric quantities, such as the volume enveloping a gas. Most of the aggregative thermodynamic variables of the system, such as the entire energy, free energy, information, and force per unit area, can be expressed in footings of the divider map or its derived functions. There are really several different types of divider maps, each matching to different types of statistical ensemble ( or, equivalently, different types of free energy. ) The canonical divider map applies to a canonical ensemble, in which the system is allowed to interchange heat with the environment at fixed temperature, volume, and figure of atoms. The expansive canonical divider map applies to a expansive canonical ensemble, in which the system can interchange both heat and atoms with the environment, at fixed temperature, volume, and chemical potency. Other types of divider maps can be defined for different fortunes ( hypertext transfer protocol: //en.wikipedia.org ) . pi: indicate atom impulse. eleven: indicate atom places. d3: is a stenography notation functioning as a reminder that the pi and eleven are vectors in three dimensional infinite.38. Le Chatelier ‘s rule for Temperature:In 1884, the Gallic Chemist Henri Le Chatelier suggested that equilibrium systems tend to counterbalance for the effects of unhinging influences. When a system at equilibrium is disturbed, the equilibrium place will switch in the way which tends to minimise, or counteract, the consequence of the perturbation ( hypertext transfer protocol: //en.wikipedia.org ) ..If the concentration of a solute reactant is increased, the equilibrium place displacements to utilize up the added reactants by bring forthing more merchandises. If the force per unit area on an equilibrium system is increased, so the equilibrium place displacements to cut down the force per unit area. If the volume of a gaseous equilibrium system is reduced ( tantamount to an addition in force per unit area ) so the equilibrium place displacements to increase the volume ( tantamount to a lessening in force per unit area ) If the temperature of an endothermal equilibrium system is increased, the equilibrium place displacements to utilize up the heat by bring forthing more merchandises. If the temperature of an exothermal equilibrium system is increased, the equilibrium place displacements to utilize up the heat by bring forthing more reactants.39. Colligative belongingss:Colligative belongingss are the belongingss of the solution based on the figure of molecules per unit volume of the solution. Colligative belongingss include the vapor force per unit area, boiling and stop deading point, and osmotic force per unit area ( hypertext transfer protocol: //en.wikipedia.org ) . The vapor force per unit area of an ideal solution is dependent on the vapor force per unit area of each chemical constituent and the mole fraction of the constituent nowadays in the solution. The boiling temperature of the solution before making the vapour stage, the freeze point is the lowest temperature of the solution before it transferred to solid province. The osmotic force per unit area of a dilute solution at changeless temperature is straight relative to its concentration. The osmotic force per unit area of a solution is straight relative to its absolute temperature.40. Information and the Clausius inequality:The 2nd jurisprudence of thermodynamics leads to the definition of a new belongings called information, a quantitative step of microscopic upset for a system. Entropy is a step of energy that is no longer available to execute utile work within the current environment. To obtain the working definition of information and, therefore, the 2nd jurisprudence, allow ‘s deduce the Clausius inequality. See a heat reservoir giving up heat to a reversible heat engine, which in bend gives up heat to a piston-cylinder device as shown below ( hypertext transfer protocol: //en.wikipedia.org ) .Figure ( 18 ) : Piston-cylinder device.

How John McAdam Changed Roads Forever

John Loudon McAdam was a Scottish engineer who modernized the way we build roads. Early Life McAdam was born in Scotland in 1756 but moved  to New York in 1790 to make his fortune. Arriving at the dawn of the Revolutionary War, he began working in his uncle’s business and became a successful merchant and prize agent (in essence, a fence who takes a cut from selling off the spoils of war).   Returning to Scotland, he purchased his own estate and soon became involved in the maintenance and governance of Ayrshire, becoming a road trustee there. Builder of Roads At the time, roads were either dirt paths susceptible to rain and mud, or very expensive stone affairs that frequently broke down not long after whatever event precipitated their construction.   McAdam was convinced that massive stone slabs would not be needed to carry the weight of passing carriages, as long as the road was kept dry. McAdam came up with the idea of raising roadbeds to ensure adequate drainage. He then designed these roadbeds using broken stones laid in symmetrical, tight patterns and covered with small stones to create a hard surface. McAdam discovered that the best stone or gravel for road surfacing had to be broken or crushed, and then graded to a constant size of chippings. McAdams design, called MacAdam roads and then simply â€Å"macadam roads,† represented a revolutionary advancement in road construction at the time. The water-bound macadam roads were the forerunners of the tar- and bitumen-based binding that was to become tarmacadam. The word tarmacadam was shortened to the now-familiar name: tarmac. The first tarmac road to be laid was in Paris in 1854, a precursor to todays asphalt roads. By making roads both significantly cheaper and more durable, MacAdam triggered an explosion in municipal connective tissue, with roads sprawling out across the countryside. Fittingly for an inventor who made his fortune in the Revolutionary War—and whose life’s work united so many—one of the earliest macadam roads in America was used to bring together the negotiating parties for the surrender treaty at the end of the Civil War.  These reliable roads would be crucial in America once the automobile revolution began in the early 20th century.