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

The rate of change of volume with respect to pressure

`(dV)/(dP) = -(C)/(P^(2) )`

Explanation:

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

P ∝
`(1)/(V)`

PV = C

`V = (C)/(P)`

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

`(dV)/(dP) = -(C)/(P^(2) )`

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