Give reasons for the following :

Temperature remaining constant the product of the volume & the pressure, of a given mass of dry gas is a constant.

Let a particular mass of a gas occupy

Volume = V; Pressure = P; At constant temperature = T

According to Boyle's Law:

$\text{V} ∝ \dfrac{1}{\text{P}} \text{ [T = constant]} \\[1em] \therefore \text{V} = \text{K} \dfrac{1}{\text{P}} \text{ [K is a constant]} \\[1em] \therefore \text{P}\text{V} = \text{K} = \text{constant}$

Hence, temperature remaining constant, the product of the volume & the pressure, of a given mass of dry gas is a constant.