A methanation reaction takes place in a multibed, Co-based catalytic reactor where the WGS does not take place. The reactants are fed with a hydrogen-to-CO ratio of 6, and the conversion per pass is 75% of the equilibrium conversion. Determine the temperature of the feed to the first bed to reach 25% conversion. Data for the equilibrium and the energy balance:

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CO+ 3H2 CH4 + HO PCH, PHO 26,830 T(K) +3011 K(kPa)= 10, 266.76 exp AH, = AH(CH4) + AH(HO)- AH(CO) - 3. AH(H2) =29 kJ kmol C