Respuesta :
Answer:
The answer to your question is: Molarity = 0.83
Explanation:
Data
5% by mass
Molarity = ?
density = 1.05 g/ml
Molecular weight (CH₃COOH) = 24 + 32 + 4 = 60 g
Process
- Percent by mass means 5 g of vinegar in 100 ml of solution
- Calculate the moles of vinegar in the solution
60 g of vinegar ------------ 1 mol
5 g of vinegar ----------- x
x = (5 x 1) / 60
x = 0.0833 mol of vinegar
Formula
Molarity = moles of vinegar / volume (liters)
Substitution
Molarity = 0.0833 / 0.1
Molarity = 0.83
The molar concentration of acetic acid in vinegar is 0.877 M.
Let the total weight of the solution be 100 g
Recall that;
%w/w = mass of solute/mass of solution × 100/1
But;
Mass of solution = mass of solute + mass of solvent
Let the mass of acetic acid be x
5 = x/100g × 100/1
x = 5 g
Mass of water = 100 g - 5 g = 95 g
Since density of water = 1 g/ml, volume of water = 95 ml or 0.095 L
Molar mass of acetic acid = 60 g/mol
Number of moles of acetic acid = 5 g/60 g/mol = 0.0833 moles
But;
number of moles = concentration × volume
concentration = number of moles /volume
concentration = 0.0833 moles /0.095 L
= 0.877 M
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