If `w_(1).w_(2),w_(3)` and `w_(4)` are work done in isothermal, adiabatic, isobaric, and isochoric reversible expansion for an ideal gas, respectively, then

Options

A. `w_(3) gt w_(1)`
B. `w_(1) gt w_(2)`
C. `w_(2) gt w_(4)`
D. `w_(4) gt w_(2)`

Explanation

To solve the problem regarding the work done in different types of reversible expansions for an ideal gas, we can analyze each process step by step.

### Step-by-Step Solution

1. **Understanding Work Done in Thermodynamic Processes**:
The work done \( w \) in a thermodynamic process can be represented as the area under the pressure-volume (P-V) curve for that process. The type of process determines the shape of the P-V curve and thus the area (work done).

2. **Isothermal Process (w1)**:
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