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Question: Consider a gas with density ρ and \(\bar{c}\) as the root mean square velocity of its molecules cont...

Consider a gas with density ρ and cˉ\bar{c} as the root mean square velocity of its molecules contained in a volume. If the system moves as a whole with velocity v, then the pressure exerted by the gas is -

A

13ρcˉ2\frac{1}{3}\rho{\bar{c}}^{2}

B

13ρ(cˉ+v)2\frac{1}{3}\rho(\bar{c} + v)^{2}

C

13ρ(cˉ–v)2\frac{1}{3}\rho(\bar{c}–v)^{2}

D

13ρ(cˉ2–v)2\frac{1}{3}\rho({\bar{c}}^{2}–v)^{2}

Answer

13ρcˉ2\frac{1}{3}\rho{\bar{c}}^{2}

Explanation

Solution

As system is moving with uniform speed, pressure

remains unchanged