Question 508: Thermodynamics & KTG

Question

A thermodynamic system is taken through the cyclic process
ABC
as shown in the figure. The total work done by the system during the cycle
ABC
is ______ J.
![](https://app-content.cdn.examgoal.net/fly/2500/image/6y3zli1ml7z8chg/86947a5f-04ad-48e7-90f9-a52424128bd3/36bd2f40-01c1-11f1-8b93-a5765c7fcaf0/file-6y3zli1ml7z8chh.png?format=png)

Accepted Answer

In a P-V diagram (Pressure vs. Volume), the total work done during a cyclic process is equivalent to the area enclosed by the cycle.
The cycle $\mathrm{A} ightarrow \mathrm{B} ightarrow \mathrm{C} ightarrow \mathrm{A}$ is moving in a clockwise direction.
In a clockwise cycle on a P-V diagram, the work done by the system is positive.
The area enclosed by the triangle ABC is calculated using the formula for the area of a right-angled triangle:
$ \begin{aligned} & 	ext { Work Done }=	ext { Area }=\frac{1}{2} 	imes 	ext { Base ÃÂ Height } \ & 	ext { Base }=V_C-V_A=5 \mathrm{~m}^3-2 \mathrm{~m}^3=3 \mathrm{~m}^3 \ & 	ext { Height }=P_B-P_C=300 \mathrm{~Pa}-100 \mathrm{~Pa}=200 \mathrm{~Pa} \end{aligned} $
Substituting the values into the area formula:
$ 	ext { Work Done }=\frac{1}{2} 	imes 3 \mathrm{~m}^3 	imes 200 \mathrm{~Pa}=300 \mathrm{~J} $
Therefore, the total work done by the system during the cycle ABC is 300 J . Hence, the correct answer is $\mathbf{3 0 0}$.
![](https://app-content.cdn.examgoal.net/fly/@width/image/6y3zli1mlcayrfs/f12c0fc3-9d42-4087-a6fa-55caaa5d05f4/3c58ae80-0422-11f1-b905-e3cf04b12e1d/file-6y3zli1mlcayrft.png?format=png)

Thermodynamics & KTG

A thermodynamic system is taken through the cyclic process ABC as shown in the figure. The total work done by the system during the cycle ABC is ______ J.

Integer / Numeric Answer Type