Pressure of a gas changes linearly with volume from A to B as shown in figure. If no heat is supplie

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11.Thermodynamics

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The pressure of a gas changes linearly with volume from $A$ to $B$ 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 $............\,J$

A

$6$

B

$0$

C

$-4.5$

D

$4.5$

(JEE MAIN-2023)

Solution

$\text { As } \Delta q =0$

$\Delta u =- W$

$W =\int PdV$

$\Delta u =- W =30 \times 10^3 \times 150 \times 10^{-6}$

$=4500 \times 10^{-3}$

$=4.5\,J$

Standard 11

Physics

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