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Question

Which of the following gases has minimum rms speed at a given temperature ?


A
Oxygen 
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B
Nitrogen 
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C
Hydrogen 
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D
Carbon dioxide. 
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Solution

The correct option is D Carbon dioxide. 
By definition, we know that
vrms=3Pρ=3PVM
where V is the molar volume which is a constant.
vrms  1M
Molar mass of oxygen is 32 g/mol
Molar mass of nitrogen is 28 g/mol
Molar mass of hydrogen is 2 g/mol
and
Molar mass of carbon dioxide is 44 g/mol
Since carbon dioxide has the highest molar mass, it has the least rms speed at a given temperature. 
Hence, option (d) is the correct answer.

Physics

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