Question

According to Boyle's law, the volume V of a gas varies inversely to the pressure P

exerted by the gas. The volume of a given gas under a pressure of 32 kg per cm² is
200 cm³. What will be the volume of this gas when the pressure exerted is 40 kg per
cm²?

Answer 1

Boyle's law states that PV = k, where P is the pressure, V is the volume, and k is a constant. Since the problem states that the pressure and volume are inversely proportional, we can use this formula to solve the problem.

If the initial pressure is 32 kg/cm² and the initial volume is 200 cm³, we can write:

32 x 200 = k

Simplifying, we get:

k = 6400

Now, we can use this value of k to find the new volume V when the pressure is 40 kg/cm²:

40 x V = 6400

Solving for V, we get:

V = 6400/40 = 160 cm³

Therefore, the volume of the gas when the pressure is 40 kg/cm² is 160 cm³.