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Question
The value of Cp − Cv is 1.00 R for a gas sample in state A and 1.08 R in state B. Let pAand pB denote the pressures and TA and TB denote the temperatures of the states A and B, respectively. It is most likely that
Options
pA < pB and TA > TB
pA > pB and TA < TB
pA = pB and TA < TB
pA > pB and TA = TB
MCQ
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Solution
pA < pB and TA > TB
Cp − Cv = R for the gas in state A, which means it is acting as an ideal gas in that state, whereas Cp − Cv = 1.08R in state B, i.e. the behaviour of the gas is that of a real gas in that state. To be an ideal gas, a real gas at STP should be at a very high temperature and low pressure. Therefore, PA < PB and TA > TB where PA and PB denotes the pressure and TAand TB denotes the temperature of system A and B reepectively.
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