Balance the chemical equation using linear algebra technique. PC15 + H₂O H3PO4 + HCl 1) Create a matrix or put in vector form by the assignment of the variables given: P CL x1 PCL5 + 2H₂O3 H3PO4 + 4 HCl i.e. 2: = H 0 2) Set the equation zero and show your augmented matrix form. A = 0 3) Solve the system using row operations and simplify the solutions (assign a convenient value if a free variable exists to express solutions as set of integers). 4) Enter the coefficients into the chemical equation: PCl5 + H₂O → H3PO4 + HCI

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Please solve the following practice problems in step by step solution
Balance the chemical equation using linear algebra technique.
PCL5 + H₂O →→→→ H3PO4 + HCI
1) Create a matrix or put in vector form by the assignment of the variables given:
P
CI
x₁ PCL5 + 2 H₂O → 23 H3PO4 + 4 HCl i.e. : =
H
0
2) Set the equation zero and show your augmented matrix form. A = 0
3) Solve the system using row operations and simplify the solutions (assign a
convenient value if a free variable exists to express solutions as set of integers).
4) Enter the coefficients into the chemical equation:
PCL5 +
H₂O →
H3PO4 +
HCI
Transcribed Image Text:Balance the chemical equation using linear algebra technique. PCL5 + H₂O →→→→ H3PO4 + HCI 1) Create a matrix or put in vector form by the assignment of the variables given: P CI x₁ PCL5 + 2 H₂O → 23 H3PO4 + 4 HCl i.e. : = H 0 2) Set the equation zero and show your augmented matrix form. A = 0 3) Solve the system using row operations and simplify the solutions (assign a convenient value if a free variable exists to express solutions as set of integers). 4) Enter the coefficients into the chemical equation: PCL5 + H₂O → H3PO4 + HCI
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