The dissolution of a substance in another is a kind of chemical reaction.0.4575 g of saccharine is present in the ten tablets of saccharine dissolved in water.
From the information in the question, the sulfur in saccharin (C7H5NO3S) was completely converted to sulfate ion (SO4^2-). This ion was now reacted with excess barium chloride to form barium sulfate BaSO4. This later reaction occurs as follows;
SO4^2-(aq) + Ba^2+(aq) --------> BaSO4(s)
Number of moles of BaSO4 obtained = 0.5240 g/233 g/mol
= 0.0025 moles
Since the reaction is 1:1, 0.0025 moles of sulfate ions from saccharine reacted.
Molar mass of saccharine = 7(12) + 5(1) + 14 + 3(16) + 32
= 84 + 5 + 14 + 48 + 32 = 183 g/mol
Mass of saccharine in the tablet = 0.0025 moles × 183 g/mol
= 0.4575 g
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