Answer:
[tex]v_{rms} =196.59 m/s[/tex]
Given:
Temperature, T = 3.13 K
molar mass of molecular hydrogen, m = 2.02 g/mol = [tex]2.02\times 10^{-3}kg/mol[/tex]
Solution:
To calculate the root mean squarer or rms speed of hydrogen molecule, we use the given formula:
[tex]v_{rms} = \sqrt{\frac{3TR}{m}}[/tex]
where
R = rydberg's constant = 8.314 J/mol-K
Putting the values in the above formula:
[tex]v_{rms} = \sqrt{\frac{3\times 3.13\times 8.314}{2.02\times 10^{-3}}}[/tex]
[tex]v_{rms} =196.59 m/s[/tex]
