- Methanol synthesis is an exothermic reversible reaction that typically occurs at high pressures in the presence of a catalyst.
- Dehydration of ethanol is an example of a reaction, but not necessarily a reversible exothermic reaction under high pressure.
- Reformation of ethane is generally not a high-pressure process.
- Polymerisation of ethylene is an exothermic reaction but doesn't necessarily take place at high pressures.
Conclusion:
Methanol synthesis is the correct example of an exothermic reversible reaction conducted at high pressures in industry.
A closed-loop system has the characteristic equation given by: $ s^3 + k s^2 + (k+2) s + 3 = 0 $.
For the system to be stable, the value of $ k $ is: