Define entropy and free energy of a system.Predict the feasibility of a reaction when :
(i) Both `DeltaH` and `DeltaS` increase.
(ii)Both `DeltaH` and `DeltaS` decrease.
(iii) `DeltaH` decreases but `DeltaS` increases.

Explanation

### Step-by-Step Solution

**Step 1: Define Entropy and Free Energy**

1. **Entropy (ΔS)**: Entropy is a measure of the degree of randomness or disorder in a system. It is defined as the thermal energy of a system divided by the temperature at which the energy is transferred. In simpler terms, it quantifies how much energy in a system is unavailable to do work due to the disorder of the system.

2. **Free Energy (ΔG)**: Free energy, specifically Gibbs free energy, is the energy associated with a chemical reaction that can perform useful work at constant temperature and pressure. It is calculated using the formula:
\[
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