Question

Equation of Boyle's law is:

• A. $ \frac{dp}{p}=-\frac{dV}{V} $
• B. $ \frac{dp}{p}=+\frac{dV}{V} $
• C. $ \frac{{{d}^{2}}p}{p}=-\frac{dV}{dT} $
• D. $ \frac{{{d}^{2}}p}{p}=+\frac{{{d}^{2}}V}{dT} $

Answer 1

Answer: (A)

According to Boyle's law, "for a given mass of a gas, at constant temperature the volume of a gas is inversely proportional to its pressure." $ V\propto \frac{1}{P} $ or PV = constant on differentiating the equation $ d(PV)=d $ (constant) $ \Rightarrow $ $ pdV+VdP=0 $ $ =VdP=-PdV $ $ =\frac{dp}{p}=-\frac{dV}{V} $