In deriving the kinetic gas equation,use is m | vedclass

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(C) The kinetic gas equation is derived as $PV = \frac{1}{3} m N u_{rms}^2$. In this derivation,the pressure is related to the mean square velocity of

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The square root of the average square velocity of the molecules

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(C) The kinetic gas equation is derived as $PV = \frac{1}{3} m N u_{rms}^2$. In this derivation,the pressure is related to the mean square velocity of the gas molecules. By definition,the root mean square velocity $(u_{rms})$ is the square root of the mean of the squares of the velocities of individual molecules,i.e.,$u_{rms} = \sqrt{\frac{u_1^2 + u_2^2 + ... + u_n^2}{n}}$. Therefore,it is the square root of the average square velocity of the molecules.

In deriving the kinetic gas equation,use is made of the root mean square velocity of the molecules because it is

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