Select the correct order of molecular speeds | vedclass

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(B) For a gas,the three types of molecular speeds are defined as follows:$1$. Root mean square speed: $v_{rms} = \sqrt{\frac{3RT}{M}}$$2$. Average spe

Vedclass · Accepted Answer

$v_{rms} > v > v_{mp}$

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(B) For a gas,the three types of molecular speeds are defined as follows:$1$. Root mean square speed: $v_{rms} = \sqrt{\frac{3RT}{M}}$$2$. Average speed: $v_{avg} = \sqrt{\frac{8RT}{\pi M}}$$3$. Most probable speed: $u_{mp} = \sqrt{\frac{2RT}{M}}$Comparing the coefficients: $\sqrt{3} \approx 1.732$,$\sqrt{\frac{8}{3.14}} \approx 1.596$,and $\sqrt{2} \approx 1.414$.Thus,the correct order is $v_{rms} > v_{avg} > u_{mp}$.

Select the correct order of molecular speeds for a gas.

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