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Question

Nitrogen gas is at 300C temperature. The temperature (in K) at which the rms speed of a H2 molecules would be equal to the rms speed of a nitrogen molecule is_____. (Molar mass of N2 gas 28 g);

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Solution

Room mean square speed is given by

vrms=3RTM

Here,
M= Molar mass of gas molecule
T= temperature of the gas molecule
We have given VN2=VH2
3RTN2MN2=3RTH2MH2
TH22=57328TH241 K

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