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QJEEM23Ph1636: JEE Main 2023 Physics - Class 11 JEEM23Ph1636 Solution: The pressure of a gas changes linearly with volume from to as…

The pressure of a gas changes linearly with volume from A\mathrm{A} to B\mathrm{B} as shown in figure. If no heat is supplied to or extracted from the gas then change in the internal energy of the gas will be

JEE Main 2023 (Online) 31st January Morning Shift Physics - Heat and Thermodynamics Question 116 English

Multiple Choice Options

  • A 6 J
  • B 4.5 J
  • C zero
  • D −- 4.5 J

Step-by-Step Verified Solution

∵ΔQ=0\because \Delta Q=0

ΔUamp;=−Wamp;=−[−12×(50+10)×103×150×10−6]amp;=4.5 J\begin{aligned}\Delta U & =-W \\\\& =-\left[-\frac{1}{2} \times(50+10) \times 10^{3} \times 150 \times 10^{-6}\right] \\\\& =4.5 \mathrm{~J}\end{aligned}

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