When `DeltaH gt 0` and`DeltaS lt 0`, reaction is never spontaneous. Explain .

Explanation

To explain why a reaction is never spontaneous when \( \Delta H > 0 \) and \( \Delta S < 0 \), we can analyze the relationship between the Gibbs free energy change (\( \Delta G \)), enthalpy change (\( \Delta H \)), and entropy change (\( \Delta S \)).

### Step-by-Step Solution:

1. **Understanding Gibbs Free Energy**:
The spontaneity of a reaction is determined by the Gibbs free energy change, which is given by the equation:
\[
\Delta G = \Delta H - T \Delta S
...