The maximum work obtainable from a reversible process is given as

Options

A. `-DeltaA`
B. `DeltaA`
C. `-DeltaG`
D. `DeltaG`

Answer

To determine the maximum work obtainable from a reversible process, we can use the relationship involving Gibbs free energy (ΔG). Here’s a step-by-step solution:

### Step 1: Understand the Gibbs Free Energy Equation
The Gibbs free energy change (ΔG) for a process is given by the equation:
\[ \Delta G = \Delta H - T \Delta S \]
where:
- ΔG = change in Gibbs free energy
- ΔH = change in enthalpy
- T = absolute temperature (in Kelvin)
- ΔS = change in entropy

### Step 2: Identify Conditions for Maximum Work
In a reversible process, the maximum work (W_max) obtainable is related to the change in Gibbs free energy. For a process to do maximum work, the Gibbs free energy change must be greater than zero:
\[ \Delta G > 0 \]

### Step 3: Relate ΔG to Work
The maximum work obtainable from a reversible process can be expressed as:
\[ W_{max} = -\Delta G \]
This means that the maximum work is equal to the negative change in Gibbs free energy.

### Step 4: Conclusion
Therefore, the maximum work obtainable from a reversible process is given by:
\[ W_{max} = -\Delta G \]
This indicates that for a reversible process to yield maximum work, the change in Gibbs free energy must be positive.