When 10.0 mL of the 0.50 M solution is diluted to 100 mL as shown, what is the new concentration?,

In this problem, we are asked to find the new concentration.

So, we use the dilution equation;

M1V1 = M2V2

Where M1 = concentration in molarity (moles/Liters) of the concentrated solution,

V2 = volume of the concentrated solution,

M2 = concentration in molarity of the dilute solution, and

V2 = volume of the dilute solution.

Before substituting the formula, convert the given mL to L since the unit for molarity is (moles/Liter).

Use the conversion factor (1000 mL = 1 L), so:

10.0 mL = 0.01 L

100 mL = 0.1 L

Now, we substitute the given (in liters) to the formula.

(0.50 M) (0.01 L) = M2 (0.1 L)

M2 = [ (0.50 M) (0.01 L) ] / 0.1 L

M2 = 0.05 M