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(B) The root mean square speed is given by $v_{rms} = \sqrt{\frac{3RT}{M}}$.The average speed is given by $\bar{v} = \sqrt{\frac{8RT}{\pi M}}$.The mos

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$v_{rms} > \bar{v} > v_p$

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(B) The root mean square speed is given by $v_{rms} = \sqrt{\frac{3RT}{M}}$.The average speed is given by $\bar{v} = \sqrt{\frac{8RT}{\pi M}}$.The most probable speed is given by $v_p = \sqrt{\frac{2RT}{M}}$.Comparing the coefficients: $\sqrt{3} \approx 1.732$,$\sqrt{\frac{8}{3.14}} \approx \sqrt{2.546} \approx 1.596$,and $\sqrt{2} \approx 1.414$.Therefore,the correct order is $v_{rms} > \bar{v} > v_p$.

Choose the correct arrangement of molecular speeds,where the symbols have their usual meanings.

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