In this exercise, we instead consider a form of chemosynthesis. Chemosynthesis is for instance used by microorganisms, whose habitat has very little sunlight such as the deep sea. Here, we focus on chemosynthesis with sulphur, and the corresponding chemical reaction is ₁H₂S + ₂ CO₂ +£3O₂ → £4H₂O +25S+ Cm (H₂O)n. Once again, x, denote the coefficients that balance the equation. If we use the same pro- cedure as in exercise 1 on the reaction in (3), the reduced echelon form of the augmented matrix is 1000-1 0 0100 m 0010-1 -m 0001-1 -n (i) Write out the parametrized solution to the system of equations in (4). (ii) Can we - as in 1(iv) – find a unique solution whenever m and n are known? (iii) Do all solutions (in the mathematical sense) of the system (4) correspond to useable solutions in terms of the chemical equation (3)? 0

General Chemistry - Standalone book (MindTap Course List)
11th Edition
ISBN:9781305580343
Author:Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; Darrell
Publisher:Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; Darrell
Chapter6: Thermochemisty
Section6.3: Heat Of Reaction; Enthalpy Of Reaction
Problem 6.4E: Consider the combustion (burning) of methane, CH4, in oxygen. CH4(g)+2O2(g)CO2(g)+2H2O(l) The heat...
icon
Related questions
icon
Concept explainers
Question
Exercise 2
In this exercise, we instead consider a form of chemosynthesis. Chemosynthesis is for
instance used by microorganisms, whose habitat has very little sunlight such as the deep
sea. Here, we focus on chemosynthesis with sulphur, and the corresponding chemical
reaction is
₁H₂S + ₂ CO₂ + x3024H₂O +25S + Cm(H₂O)n.
Once again, x, denote the coefficients that balance the equation. If we use the same pro-
cedure as in exercise 1 on the reaction in (3), the reduced echelon form of the augmented
matrix is
[1 0 0 0 -1 0
m
0 1 0 0 0
0 0 10
0001 -1
-m
2
-n
(i) Write out the parametrized solution to the system of equations in (4).
(ii) Can we as in 1(iv) - find a unique solution whenever m and n are known?
(iii) Do all solutions (in the mathematical sense) of the system (4) correspond to useable
solutions in terms of the chemical equation (3)?
Transcribed Image Text:Exercise 2 In this exercise, we instead consider a form of chemosynthesis. Chemosynthesis is for instance used by microorganisms, whose habitat has very little sunlight such as the deep sea. Here, we focus on chemosynthesis with sulphur, and the corresponding chemical reaction is ₁H₂S + ₂ CO₂ + x3024H₂O +25S + Cm(H₂O)n. Once again, x, denote the coefficients that balance the equation. If we use the same pro- cedure as in exercise 1 on the reaction in (3), the reduced echelon form of the augmented matrix is [1 0 0 0 -1 0 m 0 1 0 0 0 0 0 10 0001 -1 -m 2 -n (i) Write out the parametrized solution to the system of equations in (4). (ii) Can we as in 1(iv) - find a unique solution whenever m and n are known? (iii) Do all solutions (in the mathematical sense) of the system (4) correspond to useable solutions in terms of the chemical equation (3)?
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Thermochemistry
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
General Chemistry - Standalone book (MindTap Cour…
General Chemistry - Standalone book (MindTap Cour…
Chemistry
ISBN:
9781305580343
Author:
Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; Darrell
Publisher:
Cengage Learning
Introductory Chemistry: A Foundation
Introductory Chemistry: A Foundation
Chemistry
ISBN:
9781337399425
Author:
Steven S. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning