Question:medium

The magnitude of heat exchanged by a system for the given cyclic process ABC (as shown in the figure) is (in SI units):
 

Show Hint

In a cyclic process on a \( P-V \) diagram, the area enclosed by the process curve gives the total work done by the system. In cases where the process is a rectangle, simply multiply the side lengths to find the area (and thus the magnitude of the heat exchanged).
Updated On: Mar 25, 2026
  • \( 5\pi \)
  • \( 40\pi \)
  • \( 10\pi \)
  • zero
Show Solution

The Correct Option is C

Solution and Explanation

For a cyclic thermodynamic process, the heat exchanged equals the area enclosed by the process curve on a \( P-V \) diagram. The problem depicts a rectangular process on the \( P-V \) diagram, forming a closed loop from A to B to C. The area of this rectangle is computed as: \[ \text{Area} = \text{Length} \times \text{Width} = (400 - 200) \times (200 - 100) = 200 \times 100 = 10\pi \text{ (in appropriate units)}. \] Consequently, the magnitude of the heat exchanged is \( 10\pi \) units.
Final Answer: \( 10\pi \).

Was this answer helpful?
0