In an isothermal process the specific heat is

Options

A. zero under constant pressure
B. Constant
C. Infinity
D. One

Answer

To solve the question regarding the specific heat in an isothermal process, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Isothermal Process**:
- An isothermal process is defined as a thermodynamic process in which the temperature of the system remains constant. This implies that there is no change in temperature (ΔT = 0).

2. **Recall the Formula for Specific Heat Capacity**:
- The specific heat capacity (s) can be defined using the formula:
\[ s = \frac{\Delta Q}{m \Delta T} \]
where:
- \( \Delta Q \) = heat added to the system,
- \( m \) = mass of the substance,
- \( \Delta T \) = change in temperature.

3. **Substitute the Values**:
- Since the process is isothermal, we have ΔT = 0. Substituting this into the specific heat capacity formula gives:
\[ s = \frac{\Delta Q}{m \cdot 0} \]

4. **Analyze the Result**:
- The denominator becomes zero (since ΔT = 0), which leads to the expression becoming undefined. In physics, when a quantity is divided by zero, it is often described as approaching infinity. Therefore, we conclude that:
\[ s = \infty \]

5. **Conclusion**:
- In an isothermal process, the specific heat capacity is considered to be infinite.

### Final Answer:
The specific heat in an isothermal process is infinity.

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