Question

Boyle's Law states that when a sample of gas is compressed at a constant temperature the product of the pressure and the volume remains constant PV = C.
a. Find the rate of change of volume with respect to pressure.

Answer 1

Answer:

The rate of change of volume with respect to pressure

$\frac{dV}{dP} = -\frac{C}{P^{2} }$

Step-by-step explanation:

According to boyle,s law When temperature is constant then Pressure is inversely proportional to the volume.

P ∝ $\frac{1}{V}$

PV = C

$V = \frac{C}{P}$

Rate of change of volume with respect to pressure is determined by differentiating the above equation with respect to pressure

$\frac{dV}{dP} = -\frac{C}{P^{2} }$

This is the rate of change of volume with respect to pressure.