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The molar concentration : 4.46 M
The concentration of a substance can be expressed in several quantities such as moles, percent (%) weight/volume,), molarity, molality, parts per million (ppm) or mole fraction. The concentration shows the amount of solute in a unit of the amount of solvent.
Molarity shows the number of moles of solute in every 1 liter of solution or mmol in each ml of solution
M = n : V
Where
M = Molarity , M
n = number of moles of solute, mol
V = Volume of a solution, L
Given
% mass = 45% CaCl₂
density = ρ = 1.1 g/ml
Required
The molarity
Solution
mass CaCl₂ :
= % mass x density
= 0.45 x 1.1 g/ml
= 0.495 g/ml
mol CaCl₂(molar mass : 110,98 g/mol) :
= 0.495 g/ml : 110.98 g/mol
= 0.00446 mol/ml
in 1 L solution :
= 4.46 mol/L
So the molar concentration = 4.46 M
Or we can use the simple formula :
[tex]\tt M=\dfrac{\%mass\times \rho\times 10}{molar~mass}\\\\M=\dfrac{45\times 1.1\times 10}{110.98}}\\\\M=4.46~mol/L[/tex]
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