A reaction having equal energies of activation for forward and reverse reactions has

Options

A. `DeltaG = 0`
B. `DeltaH = 0`
C. `DeltaH = DeltaG = DeltaS = 0`
D. `DeltaS = 0`

Answer

To solve the question regarding a reaction having equal energies of activation for forward and reverse reactions, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Activation Energy**:
- Activation energy (Ea) is the minimum energy required for a chemical reaction to occur. For a reaction, we have two activation energies: one for the forward reaction (Ea_forward) and one for the reverse reaction (Ea_reverse).

2. **Condition of Equal Activation Energies**:
- The question states that the activation energies for the forward and reverse reactions are equal. This can be mathematically expressed as:
\[ Ea_{forward} = Ea_{reverse} \]

3. **Relating Activation Energy to Enthalpy Change**:
- The change in enthalpy (ΔH) for a reaction can be defined in terms of the activation energies:
\[ ΔH = Ea_{forward} - Ea_{reverse} \]
- If the activation energies are equal, then substituting into the equation gives:
\[ ΔH = Ea_{forward} - Ea_{forward} = 0 \]

4. **Conclusion**:
- Since ΔH equals zero, this indicates that the enthalpy change for the reaction is zero. This implies that the energy of the products is equal to the energy of the reactants, meaning the reaction is thermodynamically neutral.
- Therefore, the correct answer to the question is that a reaction having equal energies of activation for forward and reverse reactions has ΔH = 0.

### Final Answer:
A reaction having equal energies of activation for forward and reverse reactions has ΔH = 0.

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