If specific heat of 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 or given out
D. All of the above

Explanation

To understand the implications of a substance having an infinite specific heat, we can analyze the concept step by step.

### Step-by-Step Solution:

1. **Understanding Specific Heat**:
- Specific heat (c) is defined as the amount of heat (q) required to raise the temperature of a unit mass (m) of a substance by one degree Celsius (or one Kelvin). The formula is given by:
\[ q = mc\Delta T \]
- Here, \(\Delta T\) is the change in temperature.

2. **Rearranging the Formula**:
- We can rearrange the formula to express specific heat:
\[ c = \frac{q}{m \Delta T} \]
- This means that specific heat is the ratio of heat added to the product of mass and the change in temperature.

3. **Considering Infinite Specific Heat**:
- If the specific heat \(c\) is infinite, it implies:
\[ c = \infty \]
- Substituting this into the equation gives:
\[ \infty = \frac{q}{m \Delta T} \]
- This suggests that to achieve any finite change in temperature (\(\Delta T\)), an infinite amount of heat \(q\) would be required.

4. **Implication of Infinite Specific Heat**:
- If an infinite amount of heat is needed to change the temperature, it means that no matter how much heat you provide, the temperature of the substance will not change.
- Therefore, the substance would essentially be incapable of changing its temperature regardless of the heat supplied.

5. **Conclusion**:
- Thus, if the specific heat of a substance is infinite, it means that the substance cannot undergo a temperature change, no matter how much heat is added. This is a theoretical concept, as in reality, no substance has an infinite specific heat.