In a cubic container of inner side length 10 cm, nitrogen gas of 100 k pa pressure is maintained at 300 K. If the pressure inside the gas is increased to 300 kpa by adding oxygen gas, the ratio of number of `N_(2)` to `O_(2)` molecules in the container is

Options

A. 0.5
B. 3
C. 1.5
D. 0.33

Answer

A

Explanation

(a) As V and T are same for both gases, we can write
`{:(p_"1V = n_1RT),(and p_2V = n_2RT):}}`, where `p_(1) and p_(2)` are partial pressures of the gases.
`rArr (p_(1))/(p_(2))=(n_(1))/(n_(2))}` where, 1- for oxygen and 2-for nitrogen.
`rArr (100)/(200)=(n_(1))/(n_(2))rArr(n_(1))/(n_(2))=(1)/(2)=0.5`