Step 1: Analyzing the statements.
- Statement I is false because for zero-order reactions, the rate is independent of the concentration of the reactant.
- Statement II is true because the rate constant is equal to collision frequency when \( E_a = 0 \).
- Statement III is false because the rate constant is zero when \( E_a = \infty \).
- Statement IV is true because \( \ln k \) vs \( T \) forms a straight line in the Arrhenius equation.
- Statement V is true because \( 1/T \) vs \( \ln k \) is a straight line in the Arrhenius equation.
Step 2: Conclusion.
Thus, the correct statements are II and V.