Answer:
4KO2 + 2CO2 → 2K2CO3 + 3O2
Step-by-step explanation:
First we write the reaction in the asked form :
x1 KO2 + x2 CO2 → x3 K2CO3 + x4 O2
In a chemical equation, tha amount of substance that react is the same amount that is formed :
On each side of the equation we must have the same amount of K,C and O.
Let's write this in equations :
K balance :
C balance :
O balance :
The linear equations system is :
Let's equal to 0 to obtain a homogeneous equations system (for convenience) :
Let's work with the extended system matrix :
Working with the matrix :
→
→
→
→
→
The matrix is extended to the following linear system :
t∈ IR
Let's choose t=3 to eliminate the fractional numbers →