For a particular ideal gas,which of the follo | vedclass

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(A) The root mean square velocity $(V_{rms})$ of gas molecules is given by the formula:$V_{rms} = \sqrt{\frac{3RT}{M}}$Squaring both sides,we get the

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(A) The root mean square velocity $(V_{rms})$ of gas molecules is given by the formula:$V_{rms} = \sqrt{\frac{3RT}{M}}$Squaring both sides,we get the mean squared velocity $(V_{rms}^2)$:$V_{rms}^2 = \frac{3RT}{M}$Since $R$ (universal gas constant) and $M$ (molar mass of the gas) are constants for a particular ideal gas,we can write:$V_{rms}^2 \propto T$This equation is of the form $y = mx$,where $y = V_{rms}^2$,$x = T$,and $m = \frac{3R}{M}$ is the slope.Therefore,the graph of mean squared velocity versus temperature is a straight line passing through the origin.

For a particular ideal gas,which of the following graphs represents the variation of the mean squared velocity of the gas molecules with temperature?

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