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Assertion : At constant pressure, the vo...

Assertion : At constant pressure, the volume of a given mass of a gas is inversely proportional to its absolute temperature.
Reason : At absolute zero, the volume of a gas reduces to zero.

A

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

B

If both Assertion and Reason are CORRECT but Reason is not the CORRECT explanation of the Assertion.

C

If Assertion is CORRECT but Reason is INCORRECT.

D

If Assertion is INCORRECT but Reason is CORRECT.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze both the assertion and the reason provided. ### Step 1: Analyze the Assertion The assertion states: "At constant pressure, the volume of a given mass of a gas is inversely proportional to its absolute temperature." - According to Charles's Law, at constant pressure, the volume (V) of a gas is directly proportional to its absolute temperature (T). This can be expressed mathematically as: \[ V \propto T \quad \text{(at constant pressure)} \] - This means that as the temperature increases, the volume also increases, and vice versa. Therefore, the assertion is incorrect because it states that volume is inversely proportional to temperature. ### Step 2: Analyze the Reason The reason states: "At absolute zero, the volume of a gas reduces to zero." - Absolute zero is defined as 0 Kelvin, which is equivalent to -273.15 degrees Celsius. At this temperature, the kinetic energy of gas molecules theoretically becomes zero, leading to the conclusion that the volume of an ideal gas would also approach zero. - This statement is correct as it aligns with the principles of gas behavior at extremely low temperatures. ### Step 3: Conclusion - Since the assertion is incorrect and the reason is correct, we conclude that: - Assertion: False - Reason: True ### Final Answer The assertion is false, while the reason is true. ---

To solve the question, we need to analyze both the assertion and the reason provided. ### Step 1: Analyze the Assertion The assertion states: "At constant pressure, the volume of a given mass of a gas is inversely proportional to its absolute temperature." - According to Charles's Law, at constant pressure, the volume (V) of a gas is directly proportional to its absolute temperature (T). This can be expressed mathematically as: \[ ...
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