An ideal gas undergoes a cyclic transformation starting from the point A and coming back to the same point by tracing the path $\mathrm{A} \rightarrow \mathrm{B} \rightarrow \mathrm{C} \rightarrow \mathrm{A}$ as shown in the diagram. The total work done in the process is \_\_\_\_ J.

JEE Main · 2024 · 30 Jan 2024 · Shift 1 · Chemical Thermodynamics

An ideal gas undergoes a cyclic transformation starting from the point A and coming back to the same point by tracing the path

A \to B \to C \to A

as shown in the diagram. The total work done in the process is ____ J.

Answer: 200

Work done in a cyclic process equals the area enclosed on the

P

V

(or

V

P

) diagram; for the given right triangle,

W = \frac{1}{2} \times (30 - 10) \times (30 - 10) kPa \cdot d m^{3} = 200 kPa \cdot d m^{3} = 200 J

(a clockwise traversal on the

V

P

plot gives positive work).

JEE Main · 2024 · 30 Jan 2024 · Shift 1 · Integer answer