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QJEEM22Ch7c05: JEE Main 2022 Chemistry - Class 11 JEEM22Ch7c05 Solution: 1.0 mol of monoatomic ideal gas is expanded from state 1 to…

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)

JEE Main 2022 (Online) 30th June Morning Shift Chemistry - Thermodynamics Question 75 English

Step-by-Step Verified Solution

amp;w=−2.303 nRT log⁡V2V1amp;P1V1=P2V2⇒V2V1=P1P2=63=2amp;w=−2.303×1×8.3×300×log⁡(2)amp;w=−1718.1 J\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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