At `298 K, K_(p)` for reaction `N_(2)O_(4) (g) hArr 2NO_(2) (g)` is 0.98. Predict whether the reaction is spontaneous or not.

Explanation

To determine whether the reaction \( N_2O_4 (g) \rightleftharpoons 2NO_2 (g) \) is spontaneous at 298 K given that \( K_p = 0.98 \), we will use the relationship between the Gibbs free energy change (\( \Delta G \)) and the equilibrium constant (\( K_p \)).

### Step-by-Step Solution:

1. **Understand the Concept of Spontaneity**:
- A reaction is considered spontaneous if the change in Gibbs free energy (\( \Delta G \)) is negative. If \( \Delta G \) is positive, the reaction is non-spontaneous.

2. **Use the Formula for Gibbs Free Energy**:
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