Calculating mass percentage, mole fraction, molality, as well as molarity?

Ascorbic acid (vitamin C, C6H8O6) is a water-soluble vitamin. A solution containing 82.1 g of ascorbic acid, C6H8O6, dissolved in 210 g of water has a density of 1.22 g/mL at 55°C.

(a) Calculate the mass percentage of ascorbic acid in this solution. 82.1 grams / 210g = 39.1%

(b) Calculate the mole fraction of ascorbic acid in this solution.
82.1 g ascorbic at 176.13 g/mol = 0.466 mol
210 g of water at 18.0 g/mol = 11.666 moles of water
0.466 and 11.666 = 12.133 moles in total
0.466 mol ascorbic / 12.1 total = 0.0384 mol ascorbic fraction

(c) Calculate the molality of ascorbic acid in this solution.
0.466 moles / 210 grams times 1000 = 2.22 moles

(d) Calculate the molarity of ascorbic acid in this solution.
the solution weighs 82.1 plus 210 = 292.1 grams
292.1 grams at 1.22 g/ml = 239.4 milliliters
0.466 mole / 0.2394 liter = 1.95 molar

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