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

  • A
    $\sqrt{\frac{3P}{d}}$
  • B
    $\sqrt{\frac{3PV}{M}}$
  • C
    $\sqrt{\frac{3RT}{M}}$
  • D
    all of these

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The ratio of most probable velocity $(u_{mp})$,average velocity $(u_{av})$,and root mean square velocity $(u_{rms})$ is:

$A$ gas bulb of $1 \ L$ capacity contains $2.0 \times 10^{21}$ molecules of nitrogen gas at a pressure of $7.57 \times 10^3 \ N \ m^{-2}$. Calculate the root mean square speed in $cm \ sec^{-1}$. (in $.5$)

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The ratio of the most probable speed,average speed,and $RMS$ speed is given by:

If the $v_{rms}$ is $30 R^{1/2}$ at $27 ^\circ C$,then calculate the molar mass of the gas in kilograms.

Let $(C_{rms})_{H_2}$ be the r.m.s. speed of $H_2$ at $150 \ K$. At what temperature will the most probable speed of helium $[(C_{mp})_{He}]$ be half of $(C_{rms})_{H_2}$ (in $K$)?

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