What is the molarity of a solution containing 33.5 g of NaCl dissolved in 500. mL of water?
Solution:
The molar mass of NaCl is 58.44 g/mol
Therefore,
Moles of NaCl = (33.5 g NaCl) × (1 mol NaCl / 58.44 g NaCl) = 0.573 mol NaCl
The density of water is around approximately 1 g/mL
Therefore,
Mass of water = (500 mL) × (1 g / 1 mL) = 500 g
Mass of solution = Mass of water + Mass of NaCl = 500 g + 33.5 g = 533.5 g
Assume that the density of a solution is 1 g/mL
Therefore,
Liters of solution = (533.5 g) × (1 mL / 1 g) × (1 L / 1000 mL) = 0.5335 L
Molarity = Moles of solute / Liters of solution
Therefore,
Molarity of NaCl solution = (0.573 mol) / (0.5335 L) = 1.074 mol/L
Molarity of NaCl solution = 1.074 M
Answer: The molarity of NaCl solution is 1.074 M
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