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balancing chemical equation using linear algebra in matlab

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Azhar Alguraini
Azhar Alguraini on 17 Nov 2020
Answered: Mahesh Taparia on 20 Nov 2020
How can I balancing this chemical equation using linear algebra in matlab?
C2H6+O2→CO2+H2O

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Answers (1)

Mahesh Taparia
Mahesh Taparia on 20 Nov 2020
Hi
One of the possible approach is to find the simultaneous equations of coefficients of the chemical equationa nd solve those equations using solve function. For example, for your case:
x1(C2H6)+x2(O2)=x3(CO2)+x4(H2O)
Then the equations will be:
2*x1=x3; %Equating C coefficients
6*x1=2*x4; %Equating H coefficients
2*x2=2*x3+x4; %Equating O coefficients
Since these are 3 equations and 4 variable. The solution require the ratio of unknowns, so you can put x4=1 and then solve these equations and divide the solution with smaller value of unknown to get the ratio. Moreover, it becomes Ax=b system, you can also solve it using inv function, i.e
x=inv(A)*b;
Hope it will help!

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