JEE MAIN - Chemistry (2022 - 30th June Morning Shift - No. 17)
1.0 mol of monoatomic ideal gas is expanded from state 1 to state 2 as shown in the figure. The magnitude of the work done for the expansion of gas from state 1 to state 2 at 300 K is ____________ J. (Nearest integer)
(Given : R = 8.3 J K$$-$$1 mol$$-$$1, ln10 = 2.3, log2 = 0.30)
_30th_June_Morning_Shift_en_17_1.png)
Answer
1718
Explanation
$$
\begin{aligned}
&w=-2.303 ~ n R T ~ \log \frac{V_{2}}{V_{1}} \\\\
&P_{1} V_{1}=P_{2} V_{2} \Rightarrow \frac{V_{2}}{V_{1}}=\frac{P_{1}}{P_{2}}=\frac{6}{3}=2 \\\\
&w=-2.303 \times 1 \times 8.3 \times 300 \times \log (2) \\\\
&w=-1718.1 \mathrm{~J}
\end{aligned}
$$
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