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Assertion Any straight line on V-T diagr...

Assertion Any straight line on V-T diagram represents iisobaric process.
Reason In isobaric process, if V is doubled, then T will also become two times.

A

If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.

B

If both Assertion and Reason are correct but Reason is not the correct explation os Assertion.

C

If Assertionis true bur Reason is false.

D

If Assertion is false but Reason is true.

Text Solution

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The correct Answer is:
To solve the question, we need to analyze both the assertion and the reason provided. ### Step 1: Understand the Assertion The assertion states that "Any straight line on the V-T (Volume-Temperature) diagram represents an isobaric process." - In an isobaric process, the pressure (P) remains constant. According to the ideal gas law (PV = nRT), if pressure is constant, we can express volume (V) as a function of temperature (T): \[ V = \frac{nR}{P} T \] - This equation shows that volume is directly proportional to temperature when pressure is constant. Therefore, if we plot volume (V) on the x-axis and temperature (T) on the y-axis, the graph will be a straight line passing through the origin. ### Step 2: Analyze the Reason The reason states that "In an isobaric process, if V is doubled, then T will also become two times." - From the relationship derived above, since \( V \propto T \) in an isobaric process, if the volume is doubled, the temperature must also double to maintain the proportional relationship. This statement is true. ### Step 3: Conclusion - The assertion is false because not every straight line on the V-T diagram represents an isobaric process; only the straight lines that pass through the origin do. - The reason is true as it correctly describes the relationship between volume and temperature in an isobaric process. ### Final Answer - Assertion: False - Reason: True Thus, the correct answer is that the assertion is false, and the reason is true. ---

To solve the question, we need to analyze both the assertion and the reason provided. ### Step 1: Understand the Assertion The assertion states that "Any straight line on the V-T (Volume-Temperature) diagram represents an isobaric process." - In an isobaric process, the pressure (P) remains constant. According to the ideal gas law (PV = nRT), if pressure is constant, we can express volume (V) as a function of temperature (T): \[ ...
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