Question

-3
0.09 Kgm
If the density of hydrogen at STP is
then rms velocity of its molecules at 0°C will be​

Answer 1

The density of hydrogen at STP is 0.09 kg/m³.

To find : The rms velocity of its molecules at 0°C will be...

solution : rms velocity of an ideal gaseous molecules is given by,

$v_{rms}=\sqrt{\frac{3RT}{M}}$....(1)

and we know equation of density, $\rho=\frac{PM}{RT}$.....(2)

from equations (1) and (2) we get,

$\quad v_{rms}=\sqrt{\frac{3P}{\rho}}$

pressure of gas at STP, P = 10^5 N/m²

now RMS velocity, $v_{rms}=\sqrt{\frac{3\times10^5}{0.09}}$

=1825.74 m/s

Therefore the rms velocity of hydrogen at 0°C is 1825.74 m/s.