The curve between absolute temperature T and | vedclass

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(B) The root mean square velocity $v_{rms}$ of a gas molecule is given by the formula:$v_{rms} = \sqrt{\frac{3RT}{M_w}}$Squaring both sides,we get:$v_

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(B) The root mean square velocity $v_{rms}$ of a gas molecule is given by the formula:$v_{rms} = \sqrt{\frac{3RT}{M_w}}$Squaring both sides,we get:$v_{rms}^2 = \frac{3RT}{M_w}$Since $R$ (universal gas constant) and $M_w$ (molar mass of the gas) are constants for a given 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 the slope $m = \frac{3R}{M_w}$.Therefore,the graph between $v_{rms}^2$ and $T$ is a straight line passing through the origin.

The curve between absolute temperature $T$ and $v_{rms}^2$ is

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