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  4. A certain substance (not an ideal gas) has a PV graph as a straight line AB when subjected to an adiabatic process. If the same substance goes through process A arrow C arrow B, what is the heat given to it? <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-lotgen7ymirej2mx.jpg />

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Q. A certain substance (not an ideal gas) has a $PV$ graph as a straight line $AB$ when subjected to an adiabatic process. If the same substance goes through process $A \rightarrow C \rightarrow B,$ what is the heat given to it?
Question

NTA AbhyasNTA Abhyas 2022

Solution:

For adiabatic process $\Delta W_{A B}+\Delta U_{A B}=0$
$\Delta U_{A B}=-\frac{1}{2} \times\left(1 \times 10^{5}\right)\left(1 \times 10^{-3}\right)-\left(1 \times 10^{5}\right)\left(1 \times 10^{-3}\right)=-150 \quad J =\Delta U _{ ACB }$
$\Delta Q_{A C B}=W_{A C B}+\Delta U_{A C B}$
$=W_{A C}+W_{C B}+\Delta U_{A B}$
$=\left(\right.200+0\left.\right)-150=50J$