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08/01/2022 4:55 pm
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If the rms speed of oxygen molecules at 0°C is 160 m/s, find the rms speed of hydrogen molecules at 0°C.
(1) 640 m/s
(2) 40 m/s
(3) 80 m/s
(4) 332 m/s
1 Answer
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08/01/2022 5:00 pm
Correct answer: (1) 640 m/s
Explanation:
Vrms = \(\sqrt{\frac{3KT}{M}}\)
\(\frac{(V_{rms})_{O_2}}{(V_{rms})_{H_2}}\) = \(\sqrt{\frac{M_{H_2}}{M_{O_2}}}\)
= \(\sqrt{\frac{2}{32}}\)
(Vrms)H2 = 4 x (Vrms)O2
= 4 x 160
= 640 m/s