Answer: The speed of hydrogen molecule is [tex]7.199\times 10^3m/s[/tex]
Explanation:
The equation used to calculate the root mean square speed of a molecule is:
[tex]V_{rms}=\sqrt{\frac{3RT}{M}}[/tex]
where,
[tex]V_{rms}[/tex] = root mean square speed of the molecule = ?
R = Gas constant = 8.314 J/mol.K
T = temperature = 4200 K
M = molar mass of hydrogen molecule = [tex]2.02g=2.02\times 10^{-3}kg[/tex] (Conversion factor: 1 kg = 1000 g)
Putting values in above equation, we get:
[tex]V_{rms}=\sqrt{\frac{3\times 8.314\times 4200}{2.02\times 10^{-3}}}\\\\V_{rms}=7.199\times 10^3m/s[/tex]
Hence, the speed of hydrogen molecule is [tex]7.199\times 10^3m/s[/tex]
