At a given temperature, the pressure of an ideal gas of density `rho` is proportional to

Options

A. `(1)/(rho^(2))`
B. `(1)/(rho)`
C. `rho^(2)`
D. `rho`

Answer

D

Explanation

`P = (1)/(3)(M)/(V)v_(rms)^(2) = (1)/(3) rho v_(rms)^(2) = (1)/(3) rho. (3 R T)/(M_(0))`