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Assertion : The internal energy of a r...

Assertion : The internal energy of a real gas is function of both, temperature and volume.
Reason : Internal kinetic energy depends on temperature and internal potential energy depends on volume

A

(a) Assertion is correct, reason is correct, reason is a correct explanation for assertion.

B

(b)Assertion is correct, reason is correct, reason is not a correct explanation for assertion

C

(c)Assertion is correct, reason is incorrect

D

(d)Assertion is incorrect, reason is correct

Text Solution

AI Generated Solution

The correct Answer is:
To solve the given question, we will analyze both the assertion and the reason provided. ### Step 1: Understanding the Assertion The assertion states that "The internal energy of a real gas is a function of both temperature and volume." - **Explanation**: Internal energy (U) of a gas is indeed influenced by both temperature and volume. For real gases, interactions between molecules can cause the internal energy to depend on volume, especially when the gas is not ideal. ### Step 2: Understanding the Reason The reason states that "Internal kinetic energy depends on temperature and internal potential energy depends on volume." - **Explanation**: - Internal kinetic energy is related to the motion of gas molecules, which is directly affected by temperature. As temperature increases, the kinetic energy of the molecules increases. - Internal potential energy can be influenced by the arrangement of molecules, which can change with volume. For example, when a gas is compressed, the potential energy associated with intermolecular forces can change. ### Step 3: Combining the Assertion and Reason Now, we need to evaluate whether the reason correctly explains the assertion. - Since the internal energy is the sum of internal kinetic energy and internal potential energy, and both components depend on temperature and volume respectively, we can conclude that the assertion is indeed supported by the reason. ### Conclusion Both the assertion and the reason are correct, and the reason provides a correct explanation for the assertion. ### Final Answer The correct option is A: Both assertion and reason are correct, and the reason is a correct explanation of the assertion. ---
To solve the given question, we will analyze both the assertion and the reason provided. ### Step 1: Understanding the Assertion The assertion states that "The internal energy of a real gas is a function of both temperature and volume." - **Explanation**: Internal energy (U) of a gas is indeed influenced by both temperature and volume. For real gases, interactions between molecules can cause the internal energy to depend on volume, especially when the gas is not ideal. ### Step 2: Understanding the Reason ...
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