JEE MAIN - Physics (2025 - 28th January Evening Shift - No. 17)
The kinetic energy of translation of the molecules in 50 g of $ \text{CO}_2 $ gas at 17°C is :
4205.5 J
3582.7 J
3986.3 J
4102.8 J
Explanation
$$\begin{aligned}
& (\mathrm{KE})_{\text {Transsational }}=\left[\frac{3}{2} \mathrm{KT}\right] \times \text { no. of molecule } \\
& \text { No. of molecule }=\left[\frac{50}{44} \times 6.023 \times 10^{23}\right] \\
& (\mathrm{KE})_{\text {Transsational }}=4108.644 \mathrm{~J}
\end{aligned}$$
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