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

Question

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

Aicharya · Accepted Answer

To find the internal energy of gas in the room.
$\begin{aligned}
& \mathrm{U}=\mathrm{nC}_{\mathrm{v}} \mathrm{~T}=\mathrm{n} \frac{5 \mathrm{RT}}{2} \\ & =\frac{5}{2} \mathrm{PV}=\frac{5}{2} \times 10^5 \times 48=12 \times 10^6 \mathrm{~J}
\end{aligned}$

The internal energy of air in $4 \mathrm{~m} \times 4 \mathrm{~m} \times 3 \mathrm{~m}$ sized room at 1…

Solution