Answer: a) root - mean - square speeds of helium atom is 43.1 m/s
b) root - mean - square speeds of nitrogen molecule is 16.29m/s
Explanation:
The formula used for root mean square speed is:
[tex]\nu_{rms}=\sqrt{\frac{3RT}{M}}[/tex]
where,
[tex]\nu_{rms}[/tex] = root mean square speed
R = gas constant = [tex]8.314J/Kmol[/tex]
T = temperature = [tex]25^0C=(25+273)K=298K[/tex]
M = atomic mass
a) root - mean - square speeds of helium atom [tex](He)[/tex]
[tex]\nu_{rms}=\sqrt{\frac{3\times 8.314J/Kmol\times 298K}{4g/mol}}=43.1m/s[/tex]
b) root - mean - square speeds of nitrogen molecule [tex](N_2)[/tex]
[tex]\nu_{rms}=\sqrt{\frac{3\times 8.314J/Kmol\times 298K}{28.02g/mol}}=16.29m/s[/tex]
