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An isothermal reversible reaction (A ↔ B) is carried out in an aqueous solution

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An isothermal reversible reaction (A ↔ B) is carried out in an aqueous solution. The reaction is first-order in both directions. The forward rate constant is 1 h–1 and the equilibrium constant is 1. The feed to the plant contains 100 kg-mol/m3 of A and enters at the rate of 120 m3/h. The reactor is a stirred tank of volume 180 m3. The exit stream then goes to a separator, where the concentration of A (CA) is doubled and 30 m3/h is sent back to the CSTR in a continuous operation.

a) Find the conversion.

b) Compare this conversion with what you will get if there is no recycle.