If the pressure of a gas is given by P = P_0 | vedclass

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(B) The bulk modulus $K$ is defined as $K = -V \frac{dP}{dV}$.Given the pressure equation $P = P_0 e^{\alpha V}$.Differentiating with respect to volum

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$\alpha PV$

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(B) The bulk modulus $K$ is defined as $K = -V \frac{dP}{dV}$.Given the pressure equation $P = P_0 e^{\alpha V}$.Differentiating with respect to volume $V$:$\frac{dP}{dV} = P_0 e^{\alpha V} \cdot \alpha = P \cdot \alpha$.Now,substitute this into the formula for bulk modulus:$K = -V \frac{dP}{dV} = -V (P \alpha) = -\alpha PV$.Taking the magnitude for the bulk modulus:$K = \alpha PV$.

If the pressure of a gas is given by $P = P_0 e^{\alpha V}$,what is the bulk modulus?

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