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A gas undergoes a change according to the law $P = P_{0} e^{α V}$ . The bulk modulus of the gas is:

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$\frac{P V}{α}$

$α P V$

$α P$

answer is B.

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Detailed Solution

$P = P_{0} e^{α V} \Rightarrow \frac{d P}{d V} = P_{0} e^{α V} α = P α [A s P = P_{0} e^{α V}] \Rightarrow \frac{d P}{d V} V = P α V \Rightarrow \frac{d P}{d V / V} = P α V ∴ K = P α V$

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