Question:
Based on the cyclic process shown in the graph, which point represents the coolest and hottest state of the gas?
Based on the cyclic process shown in the graph, which point represents the coolest and hottest state of the gas?
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Temperature is directly proportional to the product of Pressure and Volume.
Updated On: Jun 11, 2026
- Coolest-X, Hottest-Y
- Coolest-Y, Hottest-X
- Coolest-Y, Hottest-Z
- Coolest-Z, Hottest-Y
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The Correct Option is D
Solution and Explanation
Step 1: Concept
Ideal Gas Law: $PV = nRT \implies T \propto PV$.
Step 2: Analysis
Examine the $PV$ products for points in the graph. * Point Z has the lowest $P$ and $V$, leading to the minimum product (coolest). * Point Y has high $P$ and $V$ coordinates compared to other points (hottest).
Step 3: Conclusion
Point Z is coolest and Y is hottest.
Final Answer: (D)
Ideal Gas Law: $PV = nRT \implies T \propto PV$.
Step 2: Analysis
Examine the $PV$ products for points in the graph. * Point Z has the lowest $P$ and $V$, leading to the minimum product (coolest). * Point Y has high $P$ and $V$ coordinates compared to other points (hottest).
Step 3: Conclusion
Point Z is coolest and Y is hottest.
Final Answer: (D)
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