If you transferred 2.00 mL of 5.49 x 10^-2 M Fe(NO3)3 solution into a 250.00 mL volumetric flask and diluted to the mark with water, what concentration of Fe3+ would this dilute solution have?

Question

If you transferred 2.00 mL of 5.49 x 10^-2 M Fe(NO3)3 solution into a 250.00 mL volumetric flask and diluted to the mark with water, what concentration of Fe3+ would this dilute solution have?

Answer 1

You're diluting from 2.00 mL to 250 mL so

0.0549 M x (2.00 mL/250 m L) = ?

Answer 2

To determine the concentration of Fe3+ in the diluted solution, we need to apply the dilution formula, which states that the initial volume times the initial concentration equals the final volume times the final concentration.

Given:
Initial volume (Vi) = 2.00 mL
Initial concentration (Ci) = 5.49 x 10^-2 M
Final volume (Vf) = 250.00 mL

Let's use the variables Vi, Ci, Vf, and Cf to represent the initial volume, initial concentration, final volume, and final concentration, respectively.

Using the dilution formula:
Vi * Ci = Vf * Cf

Plugging in the values:
(2.00 mL) * (5.49 x 10^-2 M) = (250.00 mL) * Cf

Simplifying:
(2.00 mL * 5.49 x 10^-2 M) = (250.00 mL * Cf)

10.98 x 10^-2 mL/M = 250.00 mL * Cf

Cross-multiplying and solving for Cf:
Cf = (10.98 x 10^-2 mL/M) / (250.00 mL)
Cf = 4.39 x 10^-4 M

Therefore, the concentration of Fe3+ in the diluted solution is 4.39 x 10^-4 M.

Answer 3

To determine the concentration of Fe3+ in the diluted solution, we can use the relationship between moles, volume, and concentration.

First, let's calculate the number of moles of Fe(NO3)3 in the 2.00 mL of the original solution:
moles = volume (in L) x concentration (in mol/L)

Converting the volume from mL to L:
2.00 mL = 2.00 x 10^-3 L

Now, we can calculate the moles of Fe(NO3)3:
moles = (2.00 x 10^-3 L) x (5.49 x 10^-2 mol/L)

Next, we need to determine the number of moles of Fe3+. In Fe(NO3)3, there is one mole of Fe3+ for every mole of Fe(NO3)3. Therefore, the number of moles of Fe3+ is equal to the number of moles of Fe(NO3)3.

Now, we need to calculate the volume of the diluted solution in liters. The final volume of the solution is 250.00 mL. Converting to liters:
250.00 mL = 250.00 x 10^-3 L

Finally, we can determine the concentration of Fe3+ in the diluted solution by dividing the moles of Fe3+ by the new volume in liters:
concentration (in mol/L) = moles of Fe3+ / volume (in L)

By following these calculations, you should be able to determine the concentration of Fe3+ in the diluted solution using the given information.