A sample of gas in a closed container of fixed volume is at 250 K and 400 mm of Hg pressure. If the gas is heated to 375 K, its pressure increases to 600 mm of Hg. By what factor will the average spee

Question

A sample of gas in a closed container of fixed volume is at 250 K and 400 mm of Hg pressure. If the gas is heated to 375 K, its pressure increases to 600 mm of Hg. By what factor will the average speed of the molecules increases?

Prashant Kotian · Accepted Answer

Correct answer: A. average molecular speed c_avg is directly ∝ √t. initial temperature t1 = 250 k, final temperature t2 = 375 k. the factor of increase in average speed is √(t2 / t1) = √(375 / 250) = √1.5 ≈ 1.22.

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