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One mole of an ideal monatomic gas undergoes a process described by the equation PV3 = constant. The heat capacity of the gas during this process is

R
$\dfrac{3}{2}$R
$\dfrac{5}{2}$R
2R
Explanation:

PV3 = constant.

for a polytropic process, PVα = constant

$C = C_v + \dfrac{R}{1 – \alpha} = \dfrac{3}{2}R + \dfrac{R}{1 – 3} = \dfrac{3R}{2} – \dfrac{R}{2} = R$

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