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(B) The given process is described by the equation $PV^3 = 	ext{constant}$.This is a polytropic process of the form $PV^n = 	ext{constant}$, where $

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$R$

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(B) The given process is described by the equation $PV^3 = 	ext{constant}$.This is a polytropic process of the form $PV^n = 	ext{constant}$, where $n = 3$.For an ideal gas, the molar heat capacity $C$ for a polytropic process is given by the formula $C = C_v + \frac{R}{1 - n}$.For a monatomic gas, the molar heat capacity at constant volume is $C_v = \frac{3}{2}R$.Substituting the values $C_v = \frac{3}{2}R$ and $n = 3$ into the formula:$C = \frac{3}{2}R + \frac{R}{1 - 3}$$C = \frac{3}{2}R + \frac{R}{-2}$$C = \frac{3}{2}R - \frac{1}{2}R = R$.Therefore, the heat capacity of the gas during this process is $R$.

One mole of an ideal monatomic gas undergoes a process described by the equation $PV^3 = \text{constant}$. The heat capacity of the gas during this process is

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