MCQ
A gas undergoes change from state $A$ to state $B$. In this process, the heat absorbed and work done by the gas is $5\, J$ and $8\, J$, respectively. Now gas is brought back to $A$ by another process during which $3\, J$ of heat is evolved. In this reverse process of $B$ to $A$
  • A
    $10\, J$ of the work will be done by the gas
  • B
    $6\, J$ of the work will be done by the gas
  • C
    $10\, J$ of the work will be done by the surrounding on gas
  • $6\, J$ of the work will be done by the surrounding on gas.

Answer

Correct option: D.
$6\, J$ of the work will be done by the surrounding on gas.
d
$\Delta {U_{AB}} = q + w =  + 5 + ( - 8) =  - 3$

$q =  - 3,\,\Delta {U_{BA}} =  + 3$

$\Delta {U_{BA}} = q + w$

$ \Rightarrow 3 =  - 3 + w \Rightarrow w =  + 6$

                                 (work done on the system)

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