Using the data from Example 22.3, determine the volume of catalyst needed to convert 80% of a feed of pure methanol (at a rate of 12,500 kg/h) at 14 atm and 250°C in an adiabatic packed bed reactor for the following conditions:

1. When pore diffusion effects are ignored 

2. Taking account of pore diffusion—note that the value of M_T and the catalyst effectiveness should be evaluated along the length of the reactor

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You may assume that the following gas properties (except gas