How does `T DeltaS` determine the spontaneity of process?

Explanation

To determine how \( T \Delta S \) influences the spontaneity of a process, we can analyze the relationship between Gibbs free energy (\( \Delta G \)), enthalpy (\( \Delta H \)), and entropy (\( \Delta S \)). Here’s a step-by-step breakdown:

### Step 1: Understanding the Gibbs Free Energy Equation
The Gibbs free energy change for a process is given by the equation:
\[ \Delta G = \Delta H - T \Delta S \]
Where:
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