The r.m.s speed of hydrogen gas molecules at a certain temperature is $200 m s − 1$ . If the absolute temperature of the gas is doubled and the hydrogen gas dissociates into atomic hydrogen, then the r.m.s. speed will become:

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200 m s^{- 1}

400 ms − 1

600 ms − 1

800 m s − 1

answer is B.

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Detailed Solution

Concept: A gas's r.m.s speed is directly influenced by the square root of its absolute temperature and inversely by the square roots of the molar mass of its molecules'.
In order to determine the final r.m.s speed of the gas in terms of the beginning speed, the molar mass of the molecules and absolute temperature in the end condition must be determined.

The hydrogen molecules are dissociated, which causes the temperature to double.

Hence, the correct Options is 2.

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