Consider a gas with density rho and bar{c} as | vedclass

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(A) The pressure exerted by a gas is a scalar quantity that depends on the random motion of molecules relative to the center of mass of the gas.The ro

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$\frac{1}{3}\rho\bar{c}^2$

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(A) The pressure exerted by a gas is a scalar quantity that depends on the random motion of molecules relative to the center of mass of the gas.The root mean square velocity $\bar{c}$ is defined relative to the center of mass of the gas.When the entire system moves with a velocity $v$,the random motion of the molecules (which causes pressure) remains unchanged because the relative velocities of the molecules with respect to the container remain the same.The pressure $P$ is given by the kinetic theory formula: $P = \frac{1}{3}\rho\bar{c}^2$.Since the pressure is independent of the bulk motion of the gas,the pressure remains $\frac{1}{3}\rho\bar{c}^2$.

Consider a gas with density $\rho$ and $\bar{c}$ 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

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