Answer:
[HCl] = 6.09 M
Xm HCl = 0.11
Explanation:
Let's analyse data:
20.22 g of solute / 100 g of solution
Solution's density = 1.10 g/mL
As we have the mass of solution and its density we determine solution's volume to stablish [M]
Density = Mass / volume → 1.10 g/mL = 100 g / Volume
100 g / 1.10g/mL = 90.9 mL
Let's convert the volume to L → 90.9 mL . 1L/ 1000mL = 0.0909L
We convert the mass of solute to moles → 20.22 g . 1mol/ 36.45g =
0.554 moles
[M] = Molarity (moles of solute /1L of solution) = 0.554 mol/0.0909L = 6.09M
Mole fraction (Xm) = Moles of solute / Total moles
Total moles = Moles of solute + Moles of solvent
Mass of solvent = Mass of solution - Mass of solute
Mass of solvent = 100 g - 20.22 g = 79.78g
We convert the mass to moles → 79.78 g / 18g/mol = 4.43 moles
Total moles = 4.43 moles + 0.554moles = 4.984 moles
Xm = 0.554 / 4.984 = 0.11
