78.7 mL sample of a 4.81 M sucrose solution is diluted to 120.0 mL. What is the molarity of the diluted soluti?
To find the molarity of the diluted solution, we need to use the formula:
M1V1 = M2V2
where:
M1 = initial molarity of the solution
V1 = initial volume of the solution
M2 = final molarity of the solution (what we need to find)
V2 = final volume of the solution
Given:
M1 = 4.81 M (initial molarity of the solution)
V1 = 78.7 mL (initial volume of the solution)
V2 = 120.0 mL (final volume of the solution)
Let's plug in the values into the formula:
4.81 M × 78.7 mL = M2 × 120.0 mL
Now, we can solve for M2 (final molarity of the solution):
M2 = (4.81 M × 78.7 mL) / 120.0 mL
Calculating this, we get:
M2 = 3.14 M
Therefore, the molarity of the diluted solution is 3.14 M.