A sample of an ideal gas is taken through the cyclic process $abca$ as shown in the figure. The change in the internal energy of the gas along the path $ca$ is $-180\, J$. The gas absorbs $250\, J$ of heat along the path $ab$ and $60\, J$ along the path $bc$. The work done by the gas along the path $abc$ is ..... $J$
A$120$
B$100$
C$140$
D$130$
JEE MAIN 2019, Medium
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D$130$
d
$\Delta\,E$
$\Delta\,W$
$\Delta\,Q$
$ab$
$250$
$bc$
$0$
$60$
$ca$
$-180$
$\Delta\,E$
$\Delta\,W$
$\Delta\,Q$
$ab$
$120$
$130$
$250$
$bc$
$60$
$0$
$60$
$ca$
$-180$
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In the figure given two processes $A$ and $B$ are shown by which a thermo-dynamical system goes from initial to final state $F.$ If $\Delta {Q_A}$ and $\Delta {Q_B}$ are respectively the heats supplied to the systems then
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Choose the correct option out of the following for work done if processes $B C$ and $D A$ are adiabatic.
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