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If a gas container is placed in a moving...

If a gas container is placed in a moving train, the temperature of gas will increase.
Kinetic energy of gas molecules will increase.

A

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

B

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

C

If Assertion is true, but the Reason is false.

D

If Assertion is false but the Reason is true.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze the relationship between the movement of the train, the gas inside the container, and how these factors affect the temperature and kinetic energy of the gas molecules. ### Step-by-Step Solution: 1. **Understanding the Scenario**: - A gas container is placed in a moving train. The train is in motion, which means that everything inside it, including the gas, is also moving with the same velocity as the train. 2. **Temperature and Kinetic Energy Relationship**: - The temperature of a gas is directly related to the average kinetic energy of its molecules. The formula for the average kinetic energy (KE) of gas molecules is given by: \[ KE = \frac{3}{2} k T \] where \( k \) is the Boltzmann constant and \( T \) is the temperature in Kelvin. 3. **Effect of Train's Motion**: - When the train moves, the gas molecules inside the container also move with the train. However, the important point is that the temperature of the gas depends on the relative motion of the gas molecules with respect to the container. 4. **Relative Velocity**: - The relative velocity of the gas molecules with respect to the container does not change because both the gas and the container are moving together with the same velocity. Therefore, the average kinetic energy of the gas molecules relative to the container remains unchanged. 5. **Conclusion on Temperature**: - Since the relative motion (and thus the average kinetic energy) of the gas molecules with respect to the container does not increase, the temperature of the gas will not increase despite the train's motion. 6. **Final Analysis**: - The statement that "the temperature of the gas will increase" is incorrect, while the statement that "the kinetic energy of gas molecules will increase" is also misleading in this context because it does not account for the relative motion. Thus, the correct conclusion is that the temperature of the gas does not increase when placed in a moving train. ### Answer Options: - Option 1: Both reasons are true, and the reason is correct. (Incorrect) - Option 2: Both reasons are true, and the reason is not correct. (Incorrect) - Option 3: The reason is true, but the reason is false. (Incorrect) - Option 4: Both reasons are false. (Correct)

To solve the question, we need to analyze the relationship between the movement of the train, the gas inside the container, and how these factors affect the temperature and kinetic energy of the gas molecules. ### Step-by-Step Solution: 1. **Understanding the Scenario**: - A gas container is placed in a moving train. The train is in motion, which means that everything inside it, including the gas, is also moving with the same velocity as the train. 2. **Temperature and Kinetic Energy Relationship**: ...
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