The ratio of the RMS speeds of at T1 and at 300 K is 4:1. The average kinetic energy per mole of is β States of Matter and Gaseous State Chemistry Question
Question
The ratio of the RMS speeds of $CH_4$ at T1 and $SO_2$ at 300 K is 4:1. The average kinetic energy per mole of $CH_4$ is
Answer: A
π‘ Solution & Explanation
u_ch4 / u_so2 = 4 β β(3r t1 / 16) / β(3r Γ 300 / 64) = 4 β β(t1 / 16) / β(75 / 16) = 4 β β(t1 / 75) = 4 β t1 / 75 = 16 β t1 = 1200 k. average k.e. per mole of ch4 = 1.5 r t1 = 1.5 Γ 2 cal/(mol k) Γ 1200 k = 3600 cal.
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