Final answer:
To find the molarity of the dilute solution, multiply the aliquot volume by the molarity of the stock solution and then divide by the total volume after dilution. M1×V1=M2×V2, where M2 is the molarity after dilution.
Step-by-step explanation:
To calculate the molarity of the dilute solution, we use the concept of dilution, where the number of moles in the aliquot taken from the stock solution remains the same after dilution to the final volume. Molarity (M) is defined as the number of moles of solute per liter of solution. The molarity of a solution after dilution can be found using the equation:
M1 × V1 = M2 × V2
Where M1 is the molarity of the stock solution, V1 is the volume of the stock solution used (10.0 mL in this case), M2 is the molarity of the diluted solution, and V2 the final total volume (100.0 mL in this case). However, as the problem doesn't specify the initial concentration of the stock solution, we can't provide the exact numerical answer. If given M1, we divide both sides by V2 to solve for M2:
M2 = · M1 × (V1/V2)
Applying the values from the example:
M2 = M1 × (10.0 mL/100.0 mL)
This equation tells us that the molarity of the dilute solution is one-tenth of the stock molarity, mirroring the tenfold increase in volume due to dilution. For example, if the stock solution had a molarity of 1.0 M, the diluted solution would have a molarity of 0.10 M.