Question

The density of a gas is $6\times {10}^{-2}kg/m^3$ and the root mean square velocity of the gas molecules is 500 m/s. The pressure exerted by the gas on the walls of the vessel is :

• A. $5\times {10}^{3}N/m^2$
• B. $1.2\times {10}^{-4}N/m^2$
• C. $0.83\times {10}^{-4}N/m^2$
• D. $30N/m^2$

Answer 1

The correct option is A $5\times {10}^{3}N/m^2$

$P$ = $\frac{1}{3}\rho {\upsilon }^{\overline{2}}$
= $\frac{1}{3}\times (6\times {10}^{-2})\times \left({500}^2\right)$
= $5\times {10}^{3}N/m^2$