Question

operating conditions 250-300 celcius and 50-100 atmospheres are consistent with the aims of achieving a high equilibrium yield of methanol and a high rate of production. noting any conflicts, explain the role of a copper catalyst noting how its presence helps with the conflict

You need to read about Le Chatelier's Principle and how that applies to this reaction. A catalyst lowers the activiation energy of a reaction which increases the rate of reaction at a lower temperature.

thanks Dr Bob222