First slide

Gaseous state

Question

Boyle's law is represented by the equation

Moderate

A

$\frac{d^{2} p}{dV} = - \frac{p}{dT}$
B

$\frac{dp}{dV} = \frac{p}{V}$
C

$\frac{d^{2} p}{dV} = \frac{p}{dT}$
D

$\frac{dp}{dV} = - \frac{p}{V}$

Solution

$p = \frac{k}{V} \Rightarrow \frac{dp}{dV} = - \frac{k}{V^{2}} = - \frac{pV}{V^{2}} = - \frac{p}{V}$

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