The isothermal Bulk modulus of an ideal gas a | vedclass

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(A) For an isothermal process, the temperature $T$ remains constant.From the ideal gas equation, $PV = nRT$. Since $T$ is constant, $PV = 	ext{consta

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$P$

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(A) For an isothermal process, the temperature $T$ remains constant.From the ideal gas equation, $PV = nRT$. Since $T$ is constant, $PV = 	ext{constant}$.Differentiating both sides with respect to $V$, we get $P + V(dP/dV) = 0$, which implies $dP/dV = -P/V$.The Bulk modulus $B$ is defined as $B = -V(dP/dV)$.Substituting the value of $dP/dV$, we get $B = -V(-P/V) = P$.Therefore, the isothermal Bulk modulus of an ideal gas at pressure $P$ is $P$.

The isothermal Bulk modulus of an ideal gas at pressure $P$ is

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