The gas-phase reaction between methanol and acetic acid to form methyl acetate and water CH3OH + CH3COOH ⇌ CH3COOCH3 + H2O (A) (B) (C) (D) takes place in a batch reactor. When the reaction mixture comes to equilibrium, the mole fractions of the four reactive species are related by the reaction equilibrium constant ?? =(????)/(????)= 4.87 (a) Suppose the feed to the reactor consists of nA0, nB0, nC0, nD0, and nI0 gram-moles of A, B, C, D, and an inert gas, I, respectively. Let ξ be the extent of reaction. Write expressions for the gram-moles of each reactive species in the final product, nA(ξ),nB(ξ),nC(ξ), and nD(ξ). Then use these expressions and the given equilibrium constant to derive an equation for ξe, the equilibrium extent of reaction, in terms of nA0,…,nI0. (b) If the feed to the reactor contains equimolar quantities of methanol and acetic acid and no other species, calculate the equilibrium fractional conversion. (c) It is desired to produce 70 mol of methyl acetate starting with 75 mol of methanol. If the reaction proceeds to equilibrium, how much acetic acid must be fed? What is the composition of the final product?
The gas-phase reaction between methanol and acetic acid to form methyl acetate and water
CH3OH + CH3COOH ⇌ CH3COOCH3 + H2O
(A) (B) (C) (D)
takes place in a batch reactor. When the reaction mixture comes to equilibrium, the mole
fractions of the four reactive species are related by the reaction equilibrium constant
?? =(????)/(????)= 4.87
(a) Suppose the feed to the reactor consists of nA0, nB0, nC0, nD0, and nI0 gram-moles of A, B,
C, D, and an inert gas, I, respectively. Let ξ be the extent of reaction. Write expressions
for the gram-moles of each reactive species in the final product, nA(ξ),nB(ξ),nC(ξ), and
nD(ξ). Then use these expressions and the given equilibrium constant to derive an
equation for ξe, the equilibrium extent of reaction, in terms of nA0,…,nI0.
(b) If the feed to the reactor contains equimolar quantities of methanol and acetic acid and no
other species, calculate the equilibrium fractional conversion.
(c) It is desired to produce 70 mol of methyl acetate starting with 75 mol of methanol. If the
reaction proceeds to equilibrium, how much acetic acid must be fed? What is the
composition of the final product?
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