The balanced equation for the combustion of one mole of magnesium is:
2Mg(s) + O₂(g) → 2MgO(s)
Now, if we identify the given equations as eq 1, eq 2, and eq 3, we have to do the following:
1) Inverse eq 1 and multiply by 2:
2MgCl₂(aq) + 2H₂O(l) → 2MgO(s) + 4HCl(aq)
2)Multiply eq 2 by 2
2Mg(s) + 4HCl(aq) → 2MgCl₂(aq) + 2H₂(g)
3) Multiply eq 3 by 2
2H₂(g) + O₂ → 2H₂O(l)
4) Add eq 1, eq 2, and eq 3
2MgCl₂(aq) + 2H₂O(l) → 2MgO(s) + 4HCl(aq)
2Mg(s) + 4HCl(aq) → 2MgCl₂(aq) + 2H₂(g)
2H₂(g) + O₂ → 2H₂O(l) +
2Mg(s) + O₂(g) → 2MgO(s)
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