The ratio of the RMS speeds of at T1 and at 300 K is 4:1. The average kinetic energy per mole of is

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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

Prashant Kotian · Accepted Answer

Correct answer: A. u_ch4 / u_so2 = 4 → √(3r t1 / 16) / √(3r × 300 / 64) = 4 → √(t1 / 16) / √(75 / 16) = 4 → √(t1 / 75) = 4 → t1 / 75 = 16 → t1 = 1200 k. average k.e. per mole of ch4 = 1.5 r t1 = 1.5 × 2 cal/(mol k) × 1200 k = 3600 cal.

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