The rms velocity of the molecules of a gas at temperature T is 1200 m/s. If the atmospheric pressure is `10^(5)N//m^(2)`, then the density of the gas at that temperature is approximately equal to

Options

A. `0.1kg//m^(3)`
B. `0.2kg//m^(3)`
C. `0.02kg//m^(3)`
D. `0.03kg//m^(3)`

Answer

B

Explanation

Pressure `P=1/3rhoC^(2)`
`thereforerho=(3P)/C^(2)=(3xx10^(5))/(1200xx1200)=30/144=0.2kg//m^(3)`