If 7.83 g FeCl3(s) is dissolved in enough water to make 2.50 L of solution, what is the concentration of Fe3+ in the solution?
First you have to get from grams of FeCl3 to moles by dividing the grams by the molar mass of FeCl3, 162.21.
7.83 / 162.21 = .0483 mols
Second, you have to convert from moles of FeCl3 to moles of Fe. With this compound, for every mole of FeCl3 there is one mole of Fe.
.0483 mols FeCl3 = .0483 mols Fe
Lastly, find molarity by dividing moles by liters.
.0483 mols / 2.50 L = .0193 M
Fe3+ must be feeling like the star of the show in this solution, huh? Well, let's crunch some numbers and find out their concentration!
First, we need to convert 7.83 g of FeCl3 into moles. The molar mass of FeCl3 is 162.2 g/mol. So, 7.83 g / 162.2 g/mol = approximately 0.048 moles of FeCl3.
Since FeCl3 dissociates into one mole of Fe3+ for every mole of FeCl3, we have the same number of moles of Fe3+. Therefore, our solution contains approximately 0.048 moles of Fe3+.
To find the concentration, we divide the number of moles of Fe3+ by the volume of the solution in liters. 0.048 mol / 2.50 L = approximately 0.0192 M.
So, the concentration of Fe3+ in the solution is approximately 0.0192 M. Fe3+ is really making a splash in this solution!
To find the concentration of Fe3+ in the solution, we need to calculate the number of moles of Fe3+ and then divide it by the volume of the solution.
Step 1: Find the molar mass of FeCl3.
The molar mass of FeCl3 is calculated as follows:
Molar mass of Fe = 55.85 g/mol
Molar mass of Cl = 35.45 g/mol
Molar mass of FeCl3 = (55.85 g/mol) + 3*(35.45 g/mol) = 162.2 g/mol
Step 2: Convert the mass of FeCl3 to moles.
Given mass of FeCl3 = 7.83 g
Moles of FeCl3 = Mass / Molar mass = 7.83 g / 162.2 g/mol
Step 3: Calculate the concentration of Fe3+.
Volume of solution = 2.50 L
Concentration (molarity) of Fe3+ = Moles of Fe3+ / Volume of solution
Concentration of Fe3+ = (7.83 g / 162.2 g/mol) / 2.50 L
Now, we can solve the equation to find the concentration of Fe3+ in the solution.
To determine the concentration of Fe3+ in the solution, we need to calculate the number of moles of FeCl3 and divide it by the volume of the solution.
First, we need to calculate the number of moles of FeCl3. We are given the mass of FeCl3, which is 7.83 g. The molar mass of FeCl3 can be calculated by adding the atomic masses of Fe (55.845 g/mol) and Cl (2 x 35.453 g/mol).
Molar mass of FeCl3 = 55.845 g/mol + 3 x 35.453 g/mol = 162.204 g/mol
Now, we can calculate the number of moles of FeCl3 by dividing the mass of FeCl3 by its molar mass:
Number of moles of FeCl3 = 7.83 g / 162.204 g/mol
Next, we need to divide the number of moles of FeCl3 by the volume of the solution (2.50 L) to obtain the concentration of Fe3+:
Concentration of Fe3+ = Number of moles of FeCl3 / Volume of solution
Since FeCl3 dissociates in water to yield one Fe3+ ion per formula unit of FeCl3, the concentration of Fe3+ would be the same as the concentration of FeCl3.
Therefore, the concentration of Fe3+ in the solution is equal to the calculated number of moles of FeCl3 divided by the volume of the solution.
In what units?
7.83 g FeCl3/2.50 L = 3.13 g/L or
3.13 x (55.85/162.2) = 1.08 g Fe^+3/L.