Difficulty: Medium
Correct Answer: The intrinsic rate of reaction becomes very low at low temperature
Explanation:
Introduction / Context:
The synthesis of ammonia (N2 + 3 H2 ⇌ 2 NH3) is exothermic and equilibrium-favoured at low temperature and high pressure. However, converters typically operate near 400–500 °C (not “very low” temperature) because the reaction is kinetically slow. This question targets the classic trade-off between thermodynamic equilibrium and reaction kinetics in reactor design and operation.
Given Data / Assumptions:
Concept / Approach:
While lowering temperature increases equilibrium NH3 content, it also reduces the rate constant dramatically (Arrhenius relationship). Industrial design finds an optimum temperature window where the rate is high enough to produce practical space-time yields while maintaining acceptable equilibrium levels. At too low a temperature, even with high pressure and good mixing, the space-time yield collapses, making the process uneconomic despite favourable equilibrium.
Step-by-Step Solution:
Verification / Alternative check:
Performance curves show that decreasing bed temperature below the optimal region reduces per-pass production severely; plants use quench or heat-exchange between beds to manage exotherms while staying in the kinetic “sweet spot”.
Why Other Options Are Wrong:
Common Pitfalls:
Confusing equilibrium improvement with practical productivity; overlooking Arrhenius control of rates in heterogeneous catalysis.
Final Answer:
The intrinsic rate of reaction becomes very low at low temperature
Discussion & Comments