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, Medium
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D$4.5$
d $\text { As } \Delta q =0$
$\Delta u =- W$
$W =\int PdV$
$\Delta u =- W =30 \times 10^3 \times 150 \times 10^{-6}$
$=4500 \times 10^{-3}$
$=4.5\,J$
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