Thermodynamics

JEE Main level, numerical answer, medium

24 of 190

Question 24 of 190

The internal energy of air in 4 m×4 m×3 m4 \mathrm{~m} \times 4 \mathrm{~m} \times 3 \mathrm{~m} sized room at 1 atmospheric pressure will be _______ ×106 J\times 10^6 \mathrm{~J}. (Consider air as diatomic molecule)

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Answer: 12

To find the internal energy of gas in the room.
$\begin{aligned}

& \mathrm{U}=\mathrm{nC}_{\mathrm{v}} \mathrm{~T}=\mathrm{n} \frac{5 \mathrm{RT}}{2} \\

& =\frac{5}{2} \mathrm{PV}=\frac{5}{2} \times 10^5 \times 48=12 \times 10^6 \mathrm{~J}

\end{aligned}$

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