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Assertion Straight line on V-T graph rep...

Assertion Straight line on V-T graph represents isobaric process.
Reason If V `prop` T, then p= constant i.e., orocess is isobaric.

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 the assertion and reason provided: **Assertion:** A straight line on the V-T graph represents an isobaric process. **Reason:** If V is proportional to T, then P = constant, i.e., the process is isobaric. ### Step-by-Step Solution: 1. **Understanding the V-T Graph:** - The V-T graph plots volume (V) on the y-axis and temperature (T) on the x-axis. - For an isobaric process (constant pressure), the relationship between volume and temperature can be derived from the ideal gas law, \( PV = nRT \). 2. **Analyzing the Assertion:** - A straight line on the V-T graph indicates a linear relationship between volume and temperature. - For a process to be isobaric, the equation \( V = \frac{nR}{P} T \) must hold true, where \( n \) and \( R \) are constants. - If pressure (P) is constant, then the equation represents a straight line that passes through the origin (0,0). 3. **Checking if the Straight Line Passes Through the Origin:** - If the straight line does not pass through the origin, it indicates that the pressure is not constant throughout the process. - Therefore, the assertion that a straight line on the V-T graph represents an isobaric process is **false** unless it passes through the origin. 4. **Analyzing the Reason:** - The reason states that if \( V \propto T \), then \( P \) must be constant. - This is derived from the relationship \( V = \frac{nR}{P} T \). If \( n \) and \( R \) are constants, and \( V \) is proportional to \( T \), then \( P \) must indeed be constant. - Thus, the reason is **true**. 5. **Conclusion:** - Since the assertion is false and the reason is true, we conclude that the correct option is that the assertion is false, and the reason is true. ### Final Answer: - **Assertion:** False - **Reason:** True

To solve the question, we need to analyze the assertion and reason provided: **Assertion:** A straight line on the V-T graph represents an isobaric process. **Reason:** If V is proportional to T, then P = constant, i.e., the process is isobaric. ### Step-by-Step Solution: ...
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