Chemistry · Thermodynamics & Thermochemistry

JEE Main 2025 — 3 April, Evening Shift — Question 18

A perfect gas ( 0.1 mol ) having C‾v=1.50R\overline{\mathrm{C}}_{\mathrm{v}}=1.50 \mathrm{R} (independent of temperature) undergoes the above transformation

from point 1 to point 4. If each step is reversible, the total work done (w) while going from point 1 to point 4 is (-)

_____\_\_\_\_\_ J (nearest integer) [Given: R=0.082 L atm K−1 mol−1\mathrm{R}=0.082 \mathrm{~L} \mathrm{~atm} \mathrm{~K}^{-1} \mathrm{~mol}^{-1} ]

Question figure

Answer: 304

Numerical answer — enter this value.

Step-by-step solution

∣w∣=|w|= area under the curve

∣w∣=3×(2000−1000)=3000 mL atm =3 L atm \begin{aligned} |\mathrm{w}| & =3 \times(2000-1000) \\& =3000 \mathrm{~mL} \text { atm } \\& =3 \mathrm{~L} \text { atm } \end{aligned} ∣w∣=3×101.3 J|\mathrm{w}|=3 \times 101.3 \mathrm{~J} =303.9 J=303.9 \mathrm{~J}

Answer key and solution verified before publishing.

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Exam
JEE Main 2025
Subject
Chemistry
Chapter
Thermodynamics & Thermochemistry
Topic
Work Done in Different Cases
A perfect gas ( 0.1 mol ) having overline C v =1.50 R (independent of… | JEE Main 2025 PYQ with Solution · DhiX AI