what is the molarity of solution if 7.46g of KCl in 1 litre of solution
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What is the molarity of a
K
C
l
solution made by dissolving 24.7 g of
K
C
l
in a total volume of 500. mL?
Chemistry Molarity
1 Answer
Stefan V.
Feb 27, 2016
0.663 mol L
−
1
Explanation:
In order to calculate the molarity of a solution, you need to know two things
the number of moles of solute present in solution
the total volume of the solution
The problem provides you with a
24.7-g
sample of potassium chloride,
KCl
, and a total volume of a solution of
500. mL
.
In order to find the number of moles of potassium chloride, your solute, use the compound's molar mass, which as you know tells you the mass of one mole of potassium chloride
24.7
g
⋅
molar mass of KCl
1 mole KCl
74.55
g
=
0.3313 moles KCl
Now, molarity is expressed per liter of solution. Since you dissolve
0.3313
moles of potassium chloride in
500. mL
of solution, you can say that
1.0 L
will contain
1.0
L
⋅
10
3
mL
1
L
⋅
0.3313 moles
500
.
mL
=
0.6626 moles KCl
This means that the molarity of the solution will be
c
=
0.663 mol L
−
1
The answer is rounded to three sig figs.