Question

An ideal gas is subjected to a cyclic process ABCD as depicted in the \(P-V\) diagram given below.

• A. A
• B. B
• C. C
• D. D

Hint:

For cyclic processes, equivalent graph must preserve direction of cycle and type of thermodynamic paths like isobaric/isochoric.

Answer 1

The Correct Option is A

Step 1: Interpret the cyclic process from \(P-V\) diagram.
Given cycle ABCD on \(P-V\) plane, we identify that:
- Path AB is horizontal: constant pressure process.
- Path BC is vertical: constant volume process.
- Path CD returns with changing both \(P\) and \(V\).
- DA closes the cycle similarly.
Step 2: Understand equivalence of cycles.
Equivalent cycle must have the same sequence of thermodynamic processes and same direction of cycle (clockwise or anticlockwise).
The direction decides sign of work done.
Step 3: Compare option graphs.
Among given graphs, option (a) correctly represents the same direction and nature of cycle, hence it matches the equivalent cyclic process.
Final Answer: \[ \boxed{\text{(a)}} \]