Answer:
Molarity for the solution is 1.05 mol/L
Explanation:
Mole fraction of solute = 0.0194
Solution's density = 1.0627 g/mL
We must know that sum of mole fraction = 1
Mole fraction of solute + Mole fraction of solvent = 1
0.0194 + Mole fraction of solvent = 1
Mole fraction of solvent = 1 - 0.0194 → 0.9806
Molarity is mol of solute in 1L of solution, so we have to determine solution's volume in L
With molar mass we can determine the mass of solute and solvent and then, the solution's mass
0.0194 mol . 101.1 g/ mol = 1.96 g of non electrolyte solute
0.9806 mol . 18 g/mol = 17.65 g of water
Mass of solution = mass of solute + mass of solvent
1.96 g + 17.65 g = 19.6 g (mass of solution)
Solution's density = Solution's mass / Solution's volume
1.0627 g/mL = 19.6 g / Solution's volume
Solution's volume = 19.6 g / 1.0627 g/mol →18.4 mL
Let's convert the mass from mL to L
18.4mL . 1L / 1000 mL = 0.0184 L
We have the moles of solute, so let's determine molarity
mol/L → 0.0194 mol / 0.0184 L = 1.05 M
