The work done in an adiabatic change in a gas depends only on

Options

A. Change is pressure
B. Change is volume
C. Change in temperature
D. None of the above

Explanation

To solve the question regarding the work done in an adiabatic change in a gas, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Adiabatic Process**:
An adiabatic process is one in which no heat is exchanged with the surroundings. Therefore, any change in internal energy of the gas is due to work done on or by the gas.

2. **Work Done in Adiabatic Process**:
The work done (W) during an adiabatic process can be expressed using the formula:
\[ W = \frac{nR(T_1 - T_2)}{\gamma - 1} \]
where:
- \( n \) = number of moles of the gas
- \( R \) = universal gas constant
- \( T_1 \) and \( T_2 \) = initial and final temperatures of the gas
- \( \gamma \) = ratio of specific heats (C_p/C_v)

3. **Identifying Dependencies**:
From the formula, we can see that the work done depends on:
- The number of moles of gas (\( n \))
- The change in temperature (\( T_1 - T_2 \))
- The constant \( R \) and \( \gamma \)

4. **Conclusion**:
Since \( n \), \( R \), and \( \gamma \) are constants for a given amount of gas, the work done in an adiabatic process primarily depends on the change in temperature (\( T_1 - T_2 \)). Therefore, the work done in an adiabatic change in a gas depends only on the change in temperature.

### Final Answer:
The work done in an adiabatic change in a gas depends only on the change in temperature.