A 122-mL sample of a 1.2 M sucrose solution is diluted to 500.0 mL. What is the molarity of the diluted solution?
Solution 81P :
Volume of initial concentrated solution = 122-mL
Molarity of initial concentrated solution = 1.2 M
Volume of diluted solution = 500.0 mL
Molarity of diluted solution = ?
Molarity(M) is a unit of concentration measuring the number of moles of a solute per liter of solution. The SI unit of molarity is mol/L.
To calculate the molarity of the diluted solution, we use the formula :
M1V1 = M2V2
Where, M1 and V1 = Molarity and volume of initial concentrated solution.
M2 and V2 = Molarity and volume of final diluted solution.
We have to calculate M2, hence the formula becomes :
Volume of initial and final solution are given in mL, let’s convert to L :
1 L = 1000 mL
Therefore, 122 mL in L will be :
= 0.122 L
Therefore, 500 mL in L will be :
= 0.500 L
Now, let’s calculate the molarity :
= 0.2928 M
Hence, molarity of diluted solution is 0.2928 M