If specific heat of a substance is infinite, it means

Options

A. heat is given out
B. heat is taken in
C. no change in temperature takes place whether heat is taken in a or given out
D. All the above

Explanation

To solve the question regarding the implications of a substance having an infinite specific heat, we can follow these steps:

### Step-by-Step Solution:

1. **Understand Specific Heat Capacity**:
The specific heat capacity (C) of a substance is defined as the amount of heat (Q) required to raise the temperature of a unit mass (m) of the substance by one degree Celsius (or one Kelvin). The formula is given by:
\[ C = \frac{Q}{m \Delta T} \]
where \(\Delta T\) is the change in temperature.

2. **Set Specific Heat to Infinite**:
According to the question, the specific heat capacity \(C\) is infinite. This means:
\[ C = \infty \]

3. **Analyze the Formula**:
If we substitute \(C = \infty\) into the specific heat formula, we have:
\[ \infty = \frac{Q}{m \Delta T} \]
Rearranging this gives:
\[ \Delta T = \frac{Q}{m \cdot \infty} \]

4. **Evaluate the Change in Temperature**:
Since \(1/\infty\) approaches 0, we can conclude:
\[ \Delta T = 0 \]
This indicates that there is no change in temperature regardless of the heat added or removed.

5. **Conclusion**:
Therefore, if the specific heat of a substance is infinite, it means that no change in temperature takes place whether heat is taken in or given out. The correct answer is option 3.