620_Physics ProblemsTechnical Physics

620_Physics ProblemsTechnical Physics - 622 *P21.54 The...

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622 The Kinetic Theory of Gases *P21.54 (a) Wn CT T Vf i =− di −= 2 500 1 8 314 500 J m o l 3 2 Jmo lK K . T f T f = 300 K (b) PV P V i i f f γγ = P nRT P P nRT P i i i f f f F H G I K J = F H G I K J γ TP ii ff 11 −− = T P T P i i f f = 1 1 bg PP T T fi f i = F H G I K J 1 T T f i = F H G I K J = F H G I K J = 53 32 52 360 300 500 100 .. atm atm *P21.55 Let the subscripts ‘1’ and ‘2’ refer to the hot and cold compartments, respectively. The pressure is higher in the hot compartment, therefore the hot compartment expands and the cold compartment contracts. The work done by the adiabatically expanding gas is equal and opposite to the work done by the adiabatically compressed gas. nR TT nR if 22 d i ∴+ =+= TTT T ffi i 121 2 800 K (1) Consider the adiabatic changes of the gases. i i f f 1 1 1 1 = and i i f f 2 2 2 2 = ∴= i i i i f f f f 1 1 2 2 1 1 2 2
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