J.R. S. answered 01/09/18
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First, write the correctly balanced equation (which is actually given to you).
2FeCl3 + 3H2S ==> 6HCl + Fe2S3
Next, note the stoichiometry, i.e. coefficients, i.e. mole ratio of each compound. You see that it takes 2 moles FeCl3 to produce 6 moles HCl (assuming that H2S is not limiting). Since no mention is made of H2S, you can assume it is present in excess.
Next, convert 90.0 g FeCl3 to moles and calculate moles of HCl produced.
90.0 g FeCl3 x 1 mole FeCl3/162.2 g = 0.5549 moles FeCl3
moles HCl formed = 0.5549 moles FeCl3 x 6 moles HCl/2 moles FeCl3 = 1.665 moles HCl formed
Finally, convert moles HCl to grams HCl.
1.665 moles HCl x 36.5 g/mole = 60.8 grams HCl (to 3 significant figures)