J.R. S. answered 09/04/19
Ph.D. University Professor with 10+ years Tutoring Experience
In order to answer this, one must first assume that the HCl is present in excess, and that the reaction goes to completion.
Na2S2O3 + 2HCl ===> 2NaCl + S + SO2 + H2O ... balanced equation
moles S formed = 64000 mg x 1 g/1000 mg x 1 mole/32 g = 2 moles S formed
moles Na2S2O3 originally present = 2 moles S x 1 moles Na2S2O3/mole S = 2 moles Na2S2O3
molar mass Na2S2O3 = 23+23+32+32+ 16+16+16 = 158 g/mole
mass Na2S2O3 = 2 moles x 158 g/mole = 316 g of Na2S2O3
Concentration of HCl:
From balanced equation, 2 moles HCl reacts with 1 mole Na2S2O3
moles HCl = 2 moles Na2S2O3 x 2 moles HCl/mole Na2S2O3 = 4 moles HCl used
molarity of HCl = moles/liter = 4 moles/0.5 L = 8 moles/liter = 8 M