In a vessel, the gas is at a pressure P. If the mass of all the molecules is halved and their speed is doubled, then the resultant pressure will be

Options

(a) 4 P
(b) 2 P
(c) PVᵞ = constant
(d) P/2

Correct Answer:

2 P

Explanation:

P = 1/3 mn / V . V²ᵣₘₛ When mass is halved and speed is doubled then
Resultant pressure, Pᵗ = 1/3 x m/2 x n/V (2vᵣₘₛ)² = 2 P.