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):

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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: Jan 14, 2026
  • \( 5\pi \)
  • \( 40\pi \)
  • \( 10\pi \)
  • zero
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The Correct Option is C

Solution and Explanation

For a cyclic thermodynamic process, the heat transferred is equivalent to the area bounded by the process curve on a \( P-V \) diagram. The process described forms a rectangle on this diagram, with vertices at A, B, and C. The area of this rectangular path is computed as: \[ \text{Area} = \text{Length} \times \text{Width} = (400 - 200) \times (200 - 100) = 200 \times 100 = 10\pi \text{ (in appropriate units)}. \] The magnitude of the exchanged heat is thus \( 10\pi \) units.
Final Answer: \( 10\pi \).

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