# Choice of lower bound of curve for PV work

I am told that the area under the PV curve gives the magnitude of work done by a gas.

Let $$V_i$$ be the initial volume, $$V_f$$ be the final volume, and the pressure as a function of volume be given by $$P=f(V)$$. To my understanding, the work done is given by the area bounded by $$x=V_i$$, $$x=V_f$$, $$P=F(v)$$ and $$y=0$$.

Proceeding in the above stated manner, the work done comes out to be the sum of the areas of green and yellow region, but the answer stated neglects the yellow region.

Origin of Question : JEE MAIN

Here's the answer according to the official answer key released by the testing agency:

• @SuchetSaxena even the biggest can make mistakes! Nothing justifies the given value of $\pu{48J}$ other than that of a cycle such as the one shown in the figure! Feb 18 at 12:15