2. The synthesis of methanol from carbon monoxide and hydrogen is an important industrial reaction, as methanol is the feedstock for many other processes. The synthesis reaction may be represented by the following overall reaction: CO+2H2CH3OH This reaction has been widely studied, and there is still a certain amount of controversy regardin the mechanism. However, it is necessary to have an appropriate rate model to design reactors. One proposed mechanism following LHHW principles is based on the molecular adsorption of carbon monoxide and hydrogen, followed by a surface reaction among two adsorbed hydrogen molecules and an adsorbed carbon monoxide molecule. Derive the LHHW-type rate equation for this proposed mechanism, assuming that the surface reaction is the rate-determining step and that the adsorption steps are in equilibrium