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← JEE Main 2022 · 30 Jun · Shift 1
ChemistryInteger+4 / -1Question 83 of 90

JEE Main 2022 · 30 Jun · Shift 1, Chemistry question 83

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^{-1} mol−1^{-1}, ln10 = 2.3, log2 = 0.30)

P (bar) against V (L): an isothermal curve from state 1 at 6.0 bar and 22.7 L down to state 2 at 3.0 bar.
Answer and worked solution

Official answer: 1718

Isothermal. W=nRTln⁡P1P2=8.3×300×2.3×0.30≈1718W=nRT\ln\frac{P_1}{P_2}=8.3\times300\times2.3\times0.30\approx1718 J.

Answer: 1718