Reactants A and B combine to form product P in the vapor phase reaction: A + B

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Reactants A and B combine to form product P in the vapor phase reaction: 

A + B ↔ P 

But a side reaction also occurs, forming by-product U: 

2A ↔ U

The Gibbs free energy and enthalpy of each compound at T = 300 K and P = 1 bar are given in Table P14-17. It is reasonable to assume that both reactions have ΔCP = 0 and that A, B, P, and U form ideal solutions.

These reactions are carried out in an isothermal batch reactor at a constant pressure of 1 bar. Find the contents of the reaction at equilibrium for each of the following. 

A.  The reactor is at T = 300 K and initially contains 10 moles each of A and B. 

B. The reactor is at T = 500 K and initially contains 10 moles each of A and B. 

C.  The reactor is at T = 300 K and initially contains 15 moles of B and 5 moles of A. 

D. The reactor is at T = 500 K and initially contains 15 moles of B and 5 moles of A. 

E. The reactor is at T = 500 K and initially contains a total of 20 moles of reactants, A and B. What initial composition produces the maximum number of moles of P at equilibrium?  

TABLE P14-17 Compound A B P U H(kJ/mol) 25 30 300 50 45 G900(kJ/mol) 15 25 42 25

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