You learnt from chemistry and ECH 3023 that hydrogen sulfide may be reacted with sulfur dioxide in a sulfur recovery raector in accordance with the equation: a H2 S + b SO2 → c S + d H2O Find the...

You learnt from chemistry and ECH 3023 that hydrogen sulfide may be reacted with sulfur dioxide in a sulfur recovery raector in accordance with the equation:

a H2 S + b SO2 → c S + d H2O

Find the smallest positive integer values of the stoichiometric coefficients a, b, c and d by setting up a set of linear system of equations from the atomic balances and solving the linear system using Gauss elimination and back substitution. Show the details of your work.