InterviewSolution
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InterviewSolution
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State and derive the perfect or ideal gas equation. |
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Answer» Solution :(i) When the pressure of gas is kept constant, the volume of gas is directly proportional to the temperature of the gas. (i.e.,) `V prop T` `V/T` = constant . (ii) The ideal gas equation is an equation , which relates all the PROPERTIES of an ideal gas. An ideal gas obeys Boyle.s LAW, Charles. law and Avagadro.s law, PV = constant `""....(1)` According to Charles.s law, `V/T` = constant `""(2)` According to Avagadro.s law, `V/n= "constant"....(3)` After combining EQUATIONS (1),(2) and (3) `(PV)/(nT) = "constant"...(4)` The above RELATION is called combined law of gases. If you consider a gas, which contains `mu` moles of the gas , the number of atoms contained will be equal to `mu` times the Avagandro.s number , `N_A` (i.e,) `n = muN_A` using equation (5) equation (4) can be written as `PV//muN_AT` = constant The value relation is called combined law of gases. If you consider a gas, which is called as Boltzmann constant `(1.38xx10^(-23)"J K "^(-1)).` Hence , we have the following equation, `PV//muN_A T =k_B` `PV=muN_Ak_BT` Here `muN_Ak_B=R`. which is termed as universal gas constant whose value is `8.31 " Jmol"^(-1)K^(-1)` `PV = RT` Ideal gas equation is also called as equation of sate because it gives the relation between the state variables and it is used to describe the state of any gas. |
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