The rms velocity of molecules of a gas of den | vedclass

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(A) The formula for the $rms$ velocity of gas molecules is given by $v_{rms} = \sqrt{\frac{3P}{d}}$.Given,pressure $P = 1.2 	imes 10^{5} \ Nm^{-2}$ a

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$300$

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(A) The formula for the $rms$ velocity of gas molecules is given by $v_{rms} = \sqrt{\frac{3P}{d}}$.Given,pressure $P = 1.2 	imes 10^{5} \ Nm^{-2}$ and density $d = 4 \ kg \ m^{-3}$.Substituting the values in the formula:$v_{rms} = \sqrt{\frac{3 	imes 1.2 	imes 10^{5}}{4}}$$v_{rms} = \sqrt{\frac{3.6 	imes 10^{5}}{4}}$$v_{rms} = \sqrt{0.9 	imes 10^{5}} = \sqrt{90000} = 300 \ ms^{-1}$.

The $rms$ velocity of molecules of a gas of density $4 \ kg \ m^{-3}$ and pressure $1.2 \times 10^{5} \ Nm^{-2}$ is (in $ms^{-1}$)

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