While solving some exercises for an exam, I faced a problem with a two-stage adiabatic reactor, producing methanol (exothermal reaction), with intermediate cooling. Both stages achieve equilibrium.
Two of the questions were:
Inlet temperature at the second stage
Load at the intermediate cooling exchanger
I have the inlet temperature in the first reactor, so I can couple a heat balance and a mass balance to obtain the temperature at the outlet of the first stage.
How do I calculate the inlet temperature at the second stage?
My first idea has been to suppose it equal to the first inlet temperature, but I cannot find any evidence to back it up. On the contrary, multiple charts have shown the inlet temperatures increasing after each stage. How else can I obtain it?