A sample of a gas contains N1 molecules and the total kinetic energy at −123∘C is E1 ergs. Another sample of a gas at 27∘C has a total kinetic energy as 2E1 ergs. Assuming gases to be ideal, the number of gas molecules in the second sample will be:
A
N1
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B
N1/2
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C
2N1
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D
4N1
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Solution
The correct option is AN1 The total kinetic energy of a gas is proportional to the temperature of the gas molecules and the number of molecules present in the sample.
KE = 32×N×K×T
where, K is the Boltzman's constant, T is the temperature and N is the number of molecules of gas.