Determine molar flow rate from the reactor at steady state

Question

At steady state they consider the combination of a continuous steady state catalytic reactor which is followed by distillation with recycle of un-reacted products in which the following reaction takes place

CO +2H₂ ---------->CH₃OH

Suppose through the reactor half the reactants are consumed in each pass. The distillation produces a stream of methanol with 1% CO. The recycle stream have 5% methanol.

CO which is having the flow rate is maintained at 1 mole/min.

1. Determine the flow rate of hydrogen that must be added to the feed stream?

2. Determine the molar flow rate of the total feed stream to the reactor at steady state?

3. Determine the molar flow rate from the reactor at steady state?

4. Determine the composition of the recycle stream coming from distillation column?