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The pressure exerted by an ideal gas is ...

The pressure exerted by an ideal gas is p=`1/3 M/Vc^2` where the symbols have their usual meanings. Using standard gas equation, pV=nRT we find that `c^2=(3RT)/M` or `C^2 prop T`. Average kinetic energy of translation of 1 mol of gas=`1/2 Mc^2=(3RT)/2`
Average thermal energy of a helium atom at room temperature `(27^@C)` is (given Boltzmann constant `k=1.38 times 10^-23 J.K^-1`)

A

`2.16 times 10^21 J`

B

`6.21 times 10^21 J`

C

`6.21 times 10^-21 J`

D

`6.21 times 10^-23 J`

Text Solution

Verified by Experts

The correct Answer is:
C
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The pressure exerted by an ideal gas is p= 1/3 M/Vc^2 where the symbols have their usual meanings. Using standard gas equation, pV=nRT we find that c^2=(3RT)/M or C^2 prop T . Average kinetic energy of translation of 1 mol of gas= 1/2 Mc^2=(3RT)/2 Average thermal energy of 1 mol of helium at 27^0 C temperature is (given constant for 1 mol= 8.31 J.mol^-1.K^-1 )

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