Answer:
The rate of change of volume with respect to pressure
[tex]\frac{dV}{dP} = -\frac{C}{P^{2} }[/tex]
Step-by-step explanation:
According to boyle,s law When temperature is constant then Pressure is inversely proportional to the volume.
P ∝ [tex]\frac{1}{V}[/tex]
PV = C
[tex]V = \frac{C}{P}[/tex]
Rate of change of volume with respect to pressure is determined by differentiating the above equation with respect to pressure
[tex]\frac{dV}{dP} = -\frac{C}{P^{2} }[/tex]
This is the rate of change of volume with respect to pressure.