One mole of an ideal monatomic gas undergoes a process described by the equation . The heat capacity of the gas during this process is [2016]

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Solution

Q.
One mole of an ideal monatomic gas undergoes a process described by the equation $P V^{3} = constant$ . The heat capacity of the gas during this process is [2016]

1 $\frac{3}{2} R$

2 $\frac{5}{2} R$

3 $2 R$

4 $R$

Ans.
(4)

Process described by the equation,

$P V^{3} = constant$

For a polytropic process, $P V^{α} = constant$

$C = C_{V} + \frac{R}{1 - α} = \frac{3}{2} R + \frac{R}{1 - 3} = R$

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