A: Specific heat is an intensive property
R: Heat capacity is an extensive property.

Options

A. If both Assertion & Reason are true and the reason is the correct explanation of the assertion , then mark (1)
B. If both Assertion & Reason are true and the reason is not the correct explanation of the assertion, then mark (2)
C. If Assertion is true statement but Reason is false, then mark (3)
D. If both Assertion and Reason is false, then mark (4)

Answer

To solve the question, we need to analyze the assertion (A) and the reason (R) provided:

**Assertion (A):** Specific heat is an intensive property.
**Reason (R):** Heat capacity is an extensive property.

### Step 1: Define Specific Heat
Specific heat (C_s) is defined as the amount of heat required to raise the temperature of one gram of a substance by one degree Celsius (or one Kelvin).

### Step 2: Classify Specific Heat
Since specific heat is defined per unit mass (1 gram), it does not depend on the amount of substance present. This characteristic makes specific heat an **intensive property**.

### Step 3: Define Heat Capacity
Heat capacity (C) is the total amount of heat required to raise the temperature of a substance by one degree Celsius.

### Step 4: Classify Heat Capacity
Heat capacity depends on the total mass of the substance. As the mass increases, the total heat required to raise its temperature also increases. Therefore, heat capacity is classified as an **extensive property**.

### Step 5: Evaluate the Assertion and Reason
Both the assertion and the reason are true:
- **Assertion (A)** is true: Specific heat is indeed an intensive property.
- **Reason (R)** is true: Heat capacity is indeed an extensive property.

### Step 6: Determine the Relationship
While both statements are true, the reason provided does not directly explain the assertion. The assertion stands on its own based on the definition of specific heat, and while the reason is correct, it does not serve as an explanation for the assertion.

### Conclusion
Both the assertion and the reason are true, but the reason is not the explanation for the assertion.

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