# Solve qus no. 55 Q.55 A gas undergoes a change according to the law: p = ${p}_{0}{e}^{\alpha v}$, where $\alpha$ is a constant. The bulk modulus of the gas is (a) p (b) $\alpha$pV (c) $\alpha$p (d) ${p}^{V}$/$\alpha$

Dear Student
$K=V\frac{dp}{dv}\phantom{\rule{0ex}{0ex}}K=V×\frac{d{p}_{0}{e}^{\alpha V}}{dV}\phantom{\rule{0ex}{0ex}}K=V×{p}_{0}×V×{e}^{\alpha V}\phantom{\rule{0ex}{0ex}}K=\alpha pV\phantom{\rule{0ex}{0ex}}Regards$

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