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Assertion : If a gas container in motion...

Assertion : If a gas container in motion is suddenly stopped, the temperature of the gas rises.
Reason : The kinetic energy of ordered mechanical motion is converted in to the kinetic energy of random motion of gas molecules

A

If both assertion and reason are true and the reason is the correct explanation of the assertion

B

If both assertion and reason are true but reason is not the correct explanation of the assertion

C

If assertion is true but reason is false.

D

If the assertion and reason both are false.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question regarding the assertion and reason provided, we will break down the concepts step by step. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that if a gas container in motion is suddenly stopped, the temperature of the gas rises. - This implies that there is a change in the energy of the gas when the container's motion ceases. 2. **Understanding the Reason**: - The reason given is that the kinetic energy of ordered mechanical motion is converted into the kinetic energy of random motion of gas molecules. - Here, "ordered mechanical motion" refers to the motion of the container, while "random motion" refers to the motion of the gas molecules inside the container. 3. **Analyzing the Motion**: - When the container is in motion, it has kinetic energy due to its velocity (this is the ordered kinetic energy). - The gas molecules inside the container are in constant random motion, which is described as disordered kinetic energy. 4. **Stopping the Container**: - When the container is suddenly stopped, the ordered kinetic energy of the container is lost (it becomes zero). - The principle of conservation of energy states that energy cannot be created or destroyed, only transformed from one form to another. 5. **Energy Transfer**: - The ordered kinetic energy that was associated with the motion of the container is transferred to the gas molecules. - This transfer increases the kinetic energy of the gas molecules, which is their disordered kinetic energy. 6. **Effect on Temperature**: - The temperature of a gas is directly related to the average kinetic energy of its molecules. - As the disordered kinetic energy of the gas molecules increases due to the energy transfer from the container, the average kinetic energy of the gas molecules also increases. 7. **Conclusion**: - Therefore, when the container is stopped, the temperature of the gas rises because the kinetic energy of the ordered motion (of the container) is converted into the kinetic energy of the random motion (of the gas molecules). - Both the assertion and the reason are true, and the reason explains the assertion. ### Final Answer: - The assertion is true, and the reason is also true; the reason explains the assertion.

To solve the question regarding the assertion and reason provided, we will break down the concepts step by step. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that if a gas container in motion is suddenly stopped, the temperature of the gas rises. - This implies that there is a change in the energy of the gas when the container's motion ceases. ...
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