Which equation is correct for adiabatic process ?

Options

A. Q=+W
B. Q=0
C. `triangleE=Q`
D. `P+triangleV=0`

Answer

To determine which equation is correct for an adiabatic process, we need to understand the characteristics of such a process. An adiabatic process is defined as one in which there is no heat transfer into or out of the system. This means that the heat exchange (Q) is equal to zero.

### Step-by-Step Solution:

1. **Definition of Adiabatic Process**:
- An adiabatic process is characterized by the absence of heat transfer. Therefore, \( Q = 0 \).

2. **First Law of Thermodynamics**:
- According to the first law of thermodynamics, the change in internal energy (\( \Delta U \)) of a system is given by:
\[ \Delta U = Q + W \]
- Where \( Q \) is the heat added to the system and \( W \) is the work done on the system.

3. **Applying the Definition to the First Law**:
- Since \( Q = 0 \) in an adiabatic process, the equation simplifies to:
\[ \Delta U = W \]
- This means that the change in internal energy is equal to the work done on the system.

4. **Evaluating the Options**:
- **Option 1**: "Heat of the system is equal to work done on the system."
- This is incorrect because heat is zero in an adiabatic process.
- **Option 2**: "Heat exchange of the system is zero in adiabatic process."
- This is correct as it aligns with the definition of an adiabatic process.
- **Option 3**: "Internal energy is equal to heat exchange."
- This is incorrect because heat exchange is zero in an adiabatic process.
- **Option 4**: "p + delta v is zero."
- This is incorrect because there is no direct relation of this form in thermodynamics; the work done is defined as \( W = P \Delta V \).

5. **Conclusion**:
- The correct statement regarding the adiabatic process is **Option 2**: "Heat exchange of the system is zero in adiabatic process."