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11.Thermodynamics
normal
Figure below shows two paths that may be taken by a gas to go from a state $A$ to a state $C$. In process $AB$, $400\, J$ of heat is added to the system and in process $BC$, $100\, J$ of heat is added to the system. The heat absorbed by the system in the process $AC$ will be ............. $\mathrm{J}$
A
$500$
B
$460$
C
$300$
D
$380$
Solution
In cyclic process $ABCA$
$\mathrm{Q}_{\text {cycle }}=\mathrm{W}_{\text {cycle }}$ $\mathrm{Q}_{\mathrm{AB}}+\mathrm{Q}_{\mathrm{BC}}+\mathrm{Q}_{\mathrm{CA}}=$$ ar.\, of\,$ $\Delta \mathrm{ABC}$
$+400+100+Q_{C \rightarrow A}=\frac{1}{2}\left(2 \times 10^{-3}\right)\left(4 \times 10^{4}\right)$
$\Rightarrow \quad \quad Q_{C \rightarrow A}=-460 \mathrm{J}$
$\Rightarrow \quad \quad Q_{A \rightarrow C}=+460 \mathrm{J}$
Standard 11
Physics
