1, kg of a diatomic gas is at a pressure of 8 × 10^4, N/m^2 . density of gas is 4, kg/m^3 . energy

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12.Kinetic Theory of Gases

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$1\, kg$ of a diatomic gas is at a pressure of $8 \times 10^4\, N/m^2$. The density of the gas is $4\, kg/m^3$. What is the energy of the gas due to its thermal motion ?

A

$6 \times {10^4}\,J$

B

$7 \times {10^4}\,J$

C

$3 \times {10^4}\,J$

D

$5 \times {10^4}\,J$

Solution

Energy of the diatomic gas

$=\frac{5}{2} \mathrm{nRT}=\frac{5}{2} \mathrm{PV}=\frac{5}{2} \times 8 \times 10^{4} \times \frac{1}{4}=5 \times 10^{4} \mathrm{J}$

Standard 11

Physics

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