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Vant Hoff's Equation and Effect of Temperature on Equilibrium Constant

CP - CV = R. ...

Question

$C_{P} - C_{V} = R$ . This R is

A

change in KE

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B

change in rotational energy.

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C

work done which system can do on expanding the gas per mol per degree increase in temperature.

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D

all correct.

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Solution

The correct option is C work done which system can do on expanding the gas per mol per degree increase in temperature.
From ideal gas
$P V = R T a t t e m p e r a t u r e T f o r o n e m o l$
and for a small change in volume
$P (V + Δ V) = R (T + 1) a t t e m p e r a t u r e (T + 1) f o r o n e m o l$
$∴ w = P Δ V = R$

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Q. In a real gas, the internal energy depends on temperature and also on volume. The energy increases when the gas expands isothermally. Examining the derivation of C_p − C_v = R, find whether C_p − C_v will be more than R, less than R or equal to R for a real gas.

Q. If R is a gas constant and CP and CV are specific heats for a solid per mole, then for the solid -

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