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At what temperature does the most probable speed (U_mp) of SO2 equal the rms speed (U_rms) of O2 at 300 K?

1. 150 K
2. 600 K
3. 750 K
4. 900 K

Correct answer: 900 K

Solution

U_mp(SO2) = sqrt(2RT1/64) and U_rms(O2) = sqrt(3R*300/32). Equating and squaring: 2T1/64 = 3*300/32 → T1 = (3*300*64)/(2*32) = 900 K.

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