(a) Use the data in Table 1 to calculate the following. (i) The enthalpy change for the reaction, under standard conditions. Comment on your answer.   (ii) The standard entropy change for the reaction. Comment on your answer.   (iii) The standard Gibbs energy change for the reaction, under standard conditions. Comment on your answer.

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Question

(a) Use the data in Table 1 to calculate the following.

(i) The enthalpy change for the reaction, under standard

conditions. Comment on your answer.

 

(ii) The standard entropy change for the reaction. Comment on

your answer.

 

(iii) The standard Gibbs energy change for the reaction, under

standard conditions. Comment on your answer.

 

(iv) The equilibrium constant for the reaction equilibrium, under

standard conditions. Comment on your answer.

 

1

(v) The change in the heat capacity at constant pressure for the chemical reactions, under standard conditions.

 

(b) Assuming that the constant pressure heat capacities are independent of temperature, use your answers to part (a) to calculate the equilibrium constant for the reaction at 225, 300 and 450 oC, at standard pressure. Comment on your results.

 

(c) There are three types of conditions used for methanol manufacture: • high pressure: 250-300 atm; 300-450 oC using ZnO-Cr2O3 catalysts
• medium pressure: 150 atm; 300 oC using ZnO-CuO catalysts
• low pressure: 50 atm; 225 oC using Cu-ZnO-Al2O3 catalysts.

Assume your industrial reactor has a feed of synthesis gas in the stoichiometric ratio 1 CO : 2 H2. Using your answers to (b), give your reasoning as to which of the three types of conditions you would recommend for operations. You must show all your calculations used to justify your decision.

[HINT: Assume the gases obey Raoult's law and that fugacity coefficients can be neglected. You may it useful to use an online cubic equation solver, such ashttps://keisan.casio.com/exec/system/1181809414 (accessed on September 19, 2021).]

 

Hi The main one I need solved in Question C.

Chemical thermodynamics in the manufacture of methanol
Methanol (CH3OH) is used to manufacture a large number of important
chemicals, such as formaldehyde (HCHO) which is employed in the
manufacture of a variety of polymers;
((CH3),OCH3), which has been used as a lead-free anti-knocking agent in
petrol; acetic acid (CH;CO2H), etc. Annual production of methanol has been
increasing: from 3.3 MTe/yr in 1982,' to 20 MTe/yr in 1991.2
methyl-tertiary-butylether
Methanol is manufactured using synthesis gas (a mixture of carbon monoxide,
co, and hydrogen, H2) through the following chemical equilibrium.
co(x)+2H,(x)=CH,OH(8)
Thermodynamic data (standard enthalpies of formation, AH, absolute
entropies, s°, and heat capacities (Cp) at 298 K) corresponding to the five
chemical species in the above chemical reactions are given in Table 1 below.
Table 1: Thermodynamic quantities for the
reacting gases involved in the manufacture of methanol.
CplJ K mol"
Species
Co(g)
H2(g)
CH;OH(g)
AH /kJ mol
S'IJ mol K'
-110.5
197.7
29.1
0.0
130.7
28.8
-201.5
239.8
43.9
Transcribed Image Text:Chemical thermodynamics in the manufacture of methanol Methanol (CH3OH) is used to manufacture a large number of important chemicals, such as formaldehyde (HCHO) which is employed in the manufacture of a variety of polymers; ((CH3),OCH3), which has been used as a lead-free anti-knocking agent in petrol; acetic acid (CH;CO2H), etc. Annual production of methanol has been increasing: from 3.3 MTe/yr in 1982,' to 20 MTe/yr in 1991.2 methyl-tertiary-butylether Methanol is manufactured using synthesis gas (a mixture of carbon monoxide, co, and hydrogen, H2) through the following chemical equilibrium. co(x)+2H,(x)=CH,OH(8) Thermodynamic data (standard enthalpies of formation, AH, absolute entropies, s°, and heat capacities (Cp) at 298 K) corresponding to the five chemical species in the above chemical reactions are given in Table 1 below. Table 1: Thermodynamic quantities for the reacting gases involved in the manufacture of methanol. CplJ K mol" Species Co(g) H2(g) CH;OH(g) AH /kJ mol S'IJ mol K' -110.5 197.7 29.1 0.0 130.7 28.8 -201.5 239.8 43.9
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