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Question:

For a given gas at 1 atm pressure, rms speed of the molecule is 200m/s at 127^oC. At 2 atm pressure and at 227^oC, the rms speed of the molecules will be:

80m/s

100√5m/s

100m/s

80√5m/s

Solution:

Correct option is B. 100√5m/s
Vrms=√(3RT/M) →vrms ∝ √T
200 = √(500/400) →v200 = √(5/2) →v = 100√5m/s