Question

Derive the relationship between V1 and V2, the volumes of a gas at two pressures, P1 and P2

Answer 1

P₁V₁ = P₂V₂.

Step-by-step explanation:

• Boyle’s Law : At constant temperature, the volume of a given quantity of a gas varies inversely with its pressure.

• It is clear from the data that V ∝ 1/P.

• Also, PV = constant.

So, for two different values of both P and V:

∴ P₁V₁ = P₂V₂.