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JEE Main 202324 JanuaryEvening Shift
Exam
JEE Main
Year
2023
Date
24 January
Shift
Evening Shift
Subject
Chemistry
Chapter
Thermodynamics (C)

JEE Main 2023 · 24 January · Evening Shift · Chemistry · Thermodynamics (C)

One mole of an ideal monoatomic gas is subjected to changes as...

One mole of an ideal monoatomic gas is subjected to changes as shown in the graph. The magnitude of the work done (by the system or on the system) is _______ J (nearest integer)

One mole of an ideal monoatomic gas is subjected to changes as shown in the graph. The magnitude of the work done (by

Given : \log 2 = 0.3, \ln 10 = 2.3

Correct answer

0

Step-by-step solution

1 to 2 , Isobaric process
2 to 3, Isochoric process
3 to 1, Isothermal process

Using work under isobaric, isochoric and isothermal processes respectively:

W=W1→2+W2→3+W3→1W=((−P(V2−V1)+0+(−P1V1(lnV2V1))=((−1(40−20)+0+(−1×20(ln2040))=620JW = {W}_{1 \to 2} + {W}_{2 \to 3} + {W}_{3 \to 1}W = ( ( - P ( {V}_{2} - {V}_{1} ) + 0 + ( - {P}_{1}{V}_{1} ( ln\dfrac{{V}_{2}}{{V}_{1}} ) ) = ( ( - 1 ( 40 - 20 ) + 0 + ( - 1 \times 20 ( ln\dfrac{20}{40} ) ) = 620J

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