4.64. The gas-phase reaction between methanol and acetic acid to form methyl acetate and water CH;OH + CH3COOH = CH3COOCH3 + H2O (A) (В) (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 eqilibrium constant Ky : = 4.87 YAYB (a) Suppose the feed to the reactor consists of n40,NB0, NCo, NDO, and no gram-moles of A, B, C, D, and an inert gas, I, respectively. Let į be the extent of reaction. Write expressions for the gram-moles of each reactive species in the final product, nA(2), nB(3), nc(E), and np(3). Then use these expressions and the given equilibrium constant to derive an equation for , the equilibrium extent of reaction, in terms of n20,.., N1o. (see Example 4.6-2.) (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?

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter13: Chemical Equilibrium
Section: Chapter Questions
Problem 128IP: The hydrocarbon naphthalene was frequently used in mothballs until recently, when it was discovered...
icon
Related questions
Question
4.64. The gas-phase reaction between methanol and acetic acid to form methyl acetate and water
CH;OH + CH3COOH = CH3COOCH3 + H2O
(A)
(В)
(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 eqilibrium constant
Ky
: = 4.87
YAYB
(a) Suppose the feed to the reactor consists of n40,NB0, NCo, NDO, and no gram-moles of A, B, C, D, and
an inert gas, I, respectively. Let į be the extent of reaction. Write expressions for the gram-moles of
each reactive species in the final product, nA(2), nB(3), nc(E), and np(3). Then use these expressions
and the given equilibrium constant to derive an equation for , the equilibrium extent of reaction,
in terms of n20,.., N1o. (see Example 4.6-2.)
(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?
(d) Suppose it is important to reduce the concentration of methanol by making its conversion at
equilibrium as high as possible, say 99%. Again assuming the feed to the reactor contains only
methanol and acetic acid and that it is desired to produce 70 mol of methyl acetate, determine the
extent of reaction and quantities of methanol and acetic acid that must be fed to the reactor.
(e) If you wanted to carry out the process of Part (b) or (c) commercially, what would you need to
know besides the equilibrium composition to determine whether the process would be profitable?
(List several things.)
Transcribed Image Text:4.64. The gas-phase reaction between methanol and acetic acid to form methyl acetate and water CH;OH + CH3COOH = CH3COOCH3 + H2O (A) (В) (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 eqilibrium constant Ky : = 4.87 YAYB (a) Suppose the feed to the reactor consists of n40,NB0, NCo, NDO, and no gram-moles of A, B, C, D, and an inert gas, I, respectively. Let į be the extent of reaction. Write expressions for the gram-moles of each reactive species in the final product, nA(2), nB(3), nc(E), and np(3). Then use these expressions and the given equilibrium constant to derive an equation for , the equilibrium extent of reaction, in terms of n20,.., N1o. (see Example 4.6-2.) (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? (d) Suppose it is important to reduce the concentration of methanol by making its conversion at equilibrium as high as possible, say 99%. Again assuming the feed to the reactor contains only methanol and acetic acid and that it is desired to produce 70 mol of methyl acetate, determine the extent of reaction and quantities of methanol and acetic acid that must be fed to the reactor. (e) If you wanted to carry out the process of Part (b) or (c) commercially, what would you need to know besides the equilibrium composition to determine whether the process would be profitable? (List several things.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 6 images

Blurred answer
Knowledge Booster
Activities
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry: An Atoms First Approach
Chemistry: An Atoms First Approach
Chemistry
ISBN:
9781305079243
Author:
Steven S. Zumdahl, Susan A. Zumdahl
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781133611097
Author:
Steven S. Zumdahl
Publisher:
Cengage Learning
Principles of Modern Chemistry
Principles of Modern Chemistry
Chemistry
ISBN:
9781305079113
Author:
David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:
Cengage Learning