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.

Respuesta :

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.