622 The Kinetic Theory of Gases*P21.54(a)WnCT TVf i=−di−=⋅−2 50018 314500J mol32JmolKK.TfTf=300 K(b)PVP Viiffγγ=PnRTPPnRTPiiifffFHGIKJ=FHGIKJγTPiiff11−−=TPTPiiff−−=11bgPPTTfifi=FHGIKJ−1TTfi=FHGIKJ=FHGIKJ=53 3252360300500100..atmatm*P21.55Let the subscripts ‘1’ and ‘2’ refer to the hot and cold compartments, respectively. The pressure ishigher in the hot compartment, therefore the hot compartment expands and the cold compartmentcontracts. The work done by the adiabatically expanding gas is equal and opposite to the work doneby the adiabatically compressed gas.nRTTnRif−−−−22d i∴+=+=TTTTffii1212800 K (1)Consider the adiabatic changes of the gases.iiff1111=and iiff2222=∴=iiiiffff11221122
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