Question

Find the RMS speed of N2 at27℃?

Answer 1

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$V _{rms} = \sqrt{ \frac{3RT}{M} } \\ \\ where \: : \\ V _{rms} = root \: mean \: square \: speed \: of \: gas \\ R = gas \: constant \: (8.314) \\ T = temperature \: in \: kelvin \\ M = molecular \: mass \: of \: gas \\ \\ now : \\ V _{rms} = \sqrt{ \frac{3RT}{M} } \\ \\ V _{rms} = \sqrt{ \frac{3 \times 8.314 \times 300}{28} } \\ \\ V _{rms} = \sqrt{ \frac{7482.6}{28} } \\ \\V _{rms} = \sqrt{267.2357142857} \\ \\ V _{rms} = 16.3473457872 \: ms^{ - 1}$

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