6. Consider the chemical equation: CO₂ + H₂O → CeH12O6 +0₂ To balance this equation, place coefficients z, y, z,t in front of each molecule, and for each element, derive a linear equation representing the balance of that element between the two sides. Solve the resulting linear system. How many degrees of freedom (i.e. how many free parameters) are there in your space of solutions? Why does this make sense for the problem we are solving? Choose a particular solution so that all the coefficients are positive integers and write the balanced chemical equation.

Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter5: Introduction To Chemical Equilibrium
Section: Chapter Questions
Problem 5.49E: 5.49. Consider the following equilibrium: What is the effect on the equilibrium of each of the...
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6. Consider the chemical equation:
CO₂ + H₂O C₂H12O6 + 0₂
To balance this equation, place coefficients z, y, z,t in front of each molecule, and for
each element, derive a linear equation representing the balance of that element between
the two sides. Solve the resulting linear system. How many degrees of freedom (i.e.
how many free parameters) are there in your space of solutions? Why does this make
sense for the problem we are solving? Choose a particular solution so that all the
coefficients are positive integers and write the balanced chemical equation.
Transcribed Image Text:6. Consider the chemical equation: CO₂ + H₂O C₂H12O6 + 0₂ To balance this equation, place coefficients z, y, z,t in front of each molecule, and for each element, derive a linear equation representing the balance of that element between the two sides. Solve the resulting linear system. How many degrees of freedom (i.e. how many free parameters) are there in your space of solutions? Why does this make sense for the problem we are solving? Choose a particular solution so that all the coefficients are positive integers and write the balanced chemical equation.
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