A gas at pressure `p_(0)` is contained in a vessel. If the masses of all the molecules are halved and their speeds doubled, the resulting pressure would be

Options

A. `4 P_0`
B. `2 P_0`
C. `P_0`
D. `P_0 //2`

Answer

B

Explanation

`P_(0) V=1/3 m_(0)NC^2" ...(1)"`
`PV = 1/3 (m_0/2)N(2C)^2" ...(ii)"`
From (i) and (ii) `P = 2 P_0`