Ammonia synthesis converter operating window: choose the most appropriate combination of pressure and temperature used in modern Haber–Bosch converters for high conversion with viable kinetics.
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Aabout 150–300 atm and 400–500 °C
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B200 atm and 1000 °C
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C450 atm and 200 °C
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D450 atm and 550 °C
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Enear 1 atm and below 200 °C
Answer
Correct Answer: about 150–300 atm and 400–500 °C
Explanation
Introduction / Context:Ammonia synthesis (N2 + 3 H2 ⇌ 2 NH3) is exothermic and involves a reduction in total moles. Process conditions must balance equilibrium (favours low temperature and high pressure) with kinetics (favours higher temperature). Modern converters use promoted iron or ruthenium catalysts in a defined pressure–temperature window to achieve practical rates and yields.
Given Data / Assumptions:
- Catalysts require elevated temperature for acceptable rates.
- Equilibrium favours higher pressure and moderate temperature.
- Industrial design optimises between 150–300 atm and roughly 400–500 °C.
Concept / Approach:High pressure pushes equilibrium toward ammonia (fewer moles), while very high temperature would harm equilibrium conversion despite faster kinetics. Conversely, too low a temperature slows the reaction excessively. Thus, the standard operating window sits around a few hundred atmospheres and mid-range temperatures of 400–500 °C.
Step-by-Step Solution:
Apply Le Chatelier’s principle: use high pressure to favour products.Choose moderate temperature: 400–500 °C balances rate and equilibrium.Reject extremes that break equilibrium (too hot) or kinetics (too cold).Therefore, select 150–300 atm and 400–500 °C.Verification / Alternative check:Published plant data and licensor information commonly report loop pressures on the order of 100–200 bar and converter inlets around 400–450 °C, with multi-bed quench or interbed cooling.
Why Other Options Are Wrong:
- 200 atm & 1000 °C: temperature far too high; equilibrium would collapse.
- 450 atm & 200 °C: kinetics too slow at 200 °C.
- 450 atm & 550 °C: excessive temperature; equilibrium penalty.
- Near 1 atm & below 200 °C: impractically slow and unfavourable equilibrium.
Common Pitfalls:Assuming “higher temperature is always better”; for exothermic equilibria, too much heat reduces conversion.
Final Answer:about 150–300 atm and 400–500 °C