Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11
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# The Value of Cp − Cv is 1.00 R for a Gas Sample in State a and 1.08 R in State B. - Physics

MCQ

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

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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, P< PB and TA > Twhere Pand PB denotes the pressure and TAand TB denotes the temperature of system A and B reepectively.

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#### APPEARS IN

HC Verma Class 11, Class 12 Concepts of Physics Vol. 2
Chapter 5 Specific Heat Capacities of Gases
MCQ | Q 3 | Page 76
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