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Hello , I am carrying out the below mentioned reactions in a fixed bed reactor
C + H2O ---> CO + H2
C + C02 ---> 2CO

Is it possible to carry out these reactions in CSTR too? If yes then how?

Not in the default CSTR reactor, as that is a single-phase reactor.

But a custom reactor is fairly easily written for such a case, presumably. You can use the Matlab-, Scilab- or Excel- unit operation approach for example.