Question

State Boyle's law and Charles' law and show how they may be combined to give the equation of state of an ideal gas.

Answer 1

Boyle’s law:

Boyle’s law states the relation between volume and pressure at constant temperature and mass.

$p ∝ 1/V$

if a fixed mass of gas undergoes an expansion at constant temperature then the final volume and pressure shall be p₂ and V₂. The initial volume and initial pressure here is p₁ and V₁ then according to Boyle’s law: p₁×V₁ = p₂×V₂ = constant (k₁)

$\frac{p_1}{p_2} = \frac{V_2}{V_1}$

Charles' law :

Charles' law at constant pressure and for constant mass, the volume of a gas is directly proportional to the temperature.

$\frac{V}{T} = constant$ or

$\frac{V1 } {T1} = \frac{V2 } { T2}$