Question

An ideal gas is taken through a cycle $A\to B\to C\to A$ as shown in the figure. If the net heat supplied in the cycle is $5J$, then work done by the gas in the process $C\to A$ is

• A. $-5J$
• B. $-10J$
• C. $-15J$
• D. $-20J$

Answer 1

The correct option is A $-5J$

The correct answer is option(A).

In the cyclic process : $\Delta =0$

$\Delta Q=\Delta W$

$\Delta W=W_{A\to B}+W_{B\to C}+W_{C\to A}$

$W_{B\to C}=0$ (volume remains constant)

$W_{A\to B}=P(V_2-V_1)=10(2-1)=10J$ (pressure remains constant)

Therefore, $5=10+W_{C\to A}$

$⟹W_{C\to A}=-5J$