What is the density of a gas at N.T.P. if the rms velocity of the gas molecules is `400m//s`? (Take atmospheric pressure `P = 1xx10^(5)N//m^(2)`)

Options

A. `5/8kg//m^(3)`
B. `11/8kg//m^(3)`
C. `15/8kg//m^(3)`
D. `25/8kg//m^(2)`

Answer

C

Explanation

`P=1/3dc^(2)" "therefored=(3P)/(C^(2))`
`therefored=(3xx10^(5))/((4xx10^(2))^(2))=30/16=15/8Kg//m^(3)`