The rms velocity at NTP of the species can be | vedclass

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(D) The root mean square $(rms)$ velocity of a gas is given by the formula $v_{rms} = \sqrt{\frac{3RT}{M}}$.Since $PV = nRT = \frac{m}{M}RT$,we have $

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All the above

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(D) The root mean square $(rms)$ velocity of a gas is given by the formula $v_{rms} = \sqrt{\frac{3RT}{M}}$.Since $PV = nRT = \frac{m}{M}RT$,we have $RT = \frac{PV M}{m}$. Substituting this into the $rms$ formula gives $v_{rms} = \sqrt{\frac{3PV}{m}} = \sqrt{\frac{3PV}{M}}$ (where $M$ is molar mass).Also,since density $d = \frac{m}{V}$,we have $P = \frac{dRT}{M}$,which implies $\frac{P}{d} = \frac{RT}{M}$. Substituting this into the $rms$ formula gives $v_{rms} = \sqrt{\frac{3P}{d}}$.Therefore,all the given expressions are correct.

The $rms$ velocity at $NTP$ of the species can be calculated from the expression

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