A cylinder of capacity 20 litre is filled with `H_(2)` gas. The total average kinetic energy of translatory motion of its molecules is `1.5xx10^(5)`J. The pressure of hydrogen in the cylinder is ………..

Options

A. `2 xx 10^(6) N//m^(2)`
B. `3 xx 10^(6) N//m^(2)`
C. `4 xx 10^(6) N//m^(2)`
D. `5 xx 10^(6) N//m^(2)`

Answer

D

Explanation

d. Kinetic energy `E = 1.5 xx 10^(5) J`, volume, `V = 20 L = 20 xx 10^(-3) m^(3)`
Pressure
`= (2)/(3) (E )/(V) = (2)/(3) ((1.5 xx 10^(5))/(20 xx 10^(-3))) = 5 xx 10^(6) N//m^(2)`