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Assertion: -q=-W for cyclic process. R...

Assertion`:` `-q=-W` for cyclic process.
Reason`:` Temperature remain constant during cyclic process.

A

If both Assertion & Reason are True & the Reason is a correct explanation of the Assertion.

B

If both Assertion & Reason are True but Reason is not a correct explanation of the Assertiion.

C

If Assertion is True but the Reason is False.

D

If both Assertion & Reason are False

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-by-Step Solution: 1. **Understanding the Assertion**: The assertion states that for a cyclic process, \(-q = -W\). In thermodynamics, this means that the heat absorbed by the system (\(q\)) is equal to the work done by the system (\(W\)). 2. **Analyzing the Cyclic Process**: A cyclic process is one where the system returns to its original state after undergoing a series of changes. In such a process, the change in internal energy (\(\Delta U\)) is zero because the system returns to its initial state. 3. **Applying the First Law of Thermodynamics**: According to the first law of thermodynamics, we have: \[ \Delta U = Q - W \] For a cyclic process, since \(\Delta U = 0\), we can write: \[ 0 = Q - W \implies Q = W \] This implies that the heat added to the system is equal to the work done by the system. Therefore, we can also express this as: \[ -Q = -W \] Thus, the assertion is correct. 4. **Understanding the Reason**: The reason states that the temperature remains constant during a cyclic process. However, this is not necessarily true for all cyclic processes. While some cyclic processes (like isothermal processes) can maintain constant temperature, others (like adiabatic processes) do not. In fact, in the example of the Carnot cycle mentioned in the transcript, there are both isothermal and adiabatic processes involved, meaning the temperature does not remain constant throughout the entire cycle. 5. **Conclusion**: Since the assertion is true (\(-q = -W\) for cyclic processes) but the reason is false (temperature does not remain constant in all cyclic processes), the final answer is that the assertion is true, but the reason is false. ### Final Answer: - **Assertion**: True - **Reason**: False

To solve the question, we need to analyze both the assertion and the reason provided. ### Step-by-Step Solution: 1. **Understanding the Assertion**: The assertion states that for a cyclic process, \(-q = -W\). In thermodynamics, this means that the heat absorbed by the system (\(q\)) is equal to the work done by the system (\(W\)). 2. **Analyzing the Cyclic Process**: ...
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