If 25.9 mL of 300 M NaCl is diluted to 136 mL, what is the molarity of the dilute solution?
dilution formula.
To find the molarity of the dilute 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 are trying to find)
V2 = final volume of the solution
In this case:
M1 = 300 M
V1 = 25.9 mL
V2 = 136 mL
Let's substitute these values into the formula:
(300 M) * (25.9 mL) = M2 * (136 mL)
Now, isolate M2 by dividing both sides of the equation by (136 mL):
(300 M * 25.9 mL) / (136 mL) = M2
Calculate the right-hand side of the equation:
(7770 M·mL) / (136 mL) = M2
Simplify the units:
7770 M·mL / 136 mL ≈ 57.1324 M
Therefore, the molarity of the dilute solution is approximately 57.1324 M.