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Question

Given molecular weight of hydrogen molecule is M=2.016×103 kg/mol. Calculate the root - mean-square speed of hydrogen molecules (H2) in km/s at 373.15 K(100C). (Answer to the nearest integer)

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Solution

The mass of an H2 molecule may be calculated from the molecular weight as
m=MN0=2.016×103kg/mol6.02×1023mol1=3.35×1027 kg
Then 12mv2rms=32kT
vrms=3kTm=3(1.38×1023)(373.15)3.35×1027=2.15 km/s
Why this question?

Caution: Remember the value of Boltzmann constant (k)

Importance in JEE: Most used formula in KTG for competitive exams

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