The volume of gas is reduced to half from its original volume. The specific heat will be

Options

A. reduce to half
B. be double
C. remain constant
D. increase four times

Explanation

To solve the question regarding the change in specific heat when the volume of a gas is reduced to half, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Given Information**:
- The original volume of the gas is denoted as \( V \).
- The new volume after reduction is \( V_1 = \frac{V}{2} \).

2. **Define Specific Heat**:
- Specific heat (\( s \)) is defined as the amount of heat required to raise the temperature of 1 unit mass of a substance by 1 degree Celsius (or 1 Kelvin). Mathematically, it can be expressed as:
\[ Q = m \cdot s \cdot \Delta T \]
where:
- \( Q \) = heat supplied,
- \( m \) = mass of the substance,
- \( s \) = specific heat,
- \( \Delta T \) = change in temperature.

3. **Identify the Nature of Specific Heat**:
- Specific heat is an **intensive property**, which means it does not depend on the amount of substance or its volume. It remains constant regardless of changes in mass, volume, or temperature.

4. **Analyze the Effect of Volume Change**:
- Since specific heat is an intensive property, even if the volume of the gas is reduced to half, the specific heat will remain unchanged.

5. **Conclusion**:
- Therefore, the specific heat of the gas will remain constant despite the change in volume.

### Final Answer:
The specific heat will remain constant.

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