Question

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

• A. $\frac{1}{\rho^{2}}$
• B. $\frac{1}{\rho}$
• C. $\rho^{2}$
• D. $\rho$

Answer 1

Answer: (D)

$\rho$

Answer 2

$v_{rms} = \sqrt{\frac{3P}{\rho}} = P \propto \rho$

[v_rms is constant for fixed temperature]