Sample Exercise 5: Calculation of Mole Fraction and molality An aqueous solution of HCl contains 36% HCI by mass. Calculate: (a) the mole fraction of HCI and (b) molality of HCl in the solution.

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Sample Exercise 5: Calculation of Mole Fraction and molality
An aqueous solution of HCI contains 36% HCI by mass. Calculate: (a) the mole fraction
of HCI and (b) molality of HCI in the solution.
Solution
(a) 36 mass % => 36 g of HCI in 100.0 g of total solution
=> 36 g HCl and 100.0 g -36 g = 64 g H₂O
moles HCI:
MMHCI = 36.453 g/mol
36 g
36.453 g/mol
= 0.9876 mol
Total moles
||
MM H₂O = 18.01 g/mol
moles H₂O: 64 g
18.01 g/mol
3.5526+0.9876 = 4.5402 mol
Thus, X HG = 0.9876 mol = 0.22
4.5402 mol
m = moles solute
kg solvent
= 3.5526 mol
(b) Since we know the moles of the solute and the mass of the solvent, we easily can
calculate the molality:
0.9876 mol = 15 m
0.064 kg
Transcribed Image Text:Sample Exercise 5: Calculation of Mole Fraction and molality An aqueous solution of HCI contains 36% HCI by mass. Calculate: (a) the mole fraction of HCI and (b) molality of HCI in the solution. Solution (a) 36 mass % => 36 g of HCI in 100.0 g of total solution => 36 g HCl and 100.0 g -36 g = 64 g H₂O moles HCI: MMHCI = 36.453 g/mol 36 g 36.453 g/mol = 0.9876 mol Total moles || MM H₂O = 18.01 g/mol moles H₂O: 64 g 18.01 g/mol 3.5526+0.9876 = 4.5402 mol Thus, X HG = 0.9876 mol = 0.22 4.5402 mol m = moles solute kg solvent = 3.5526 mol (b) Since we know the moles of the solute and the mass of the solvent, we easily can calculate the molality: 0.9876 mol = 15 m 0.064 kg
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