Final answer:
The concentration of the iron(II) bromide solution is 5.10 mol/L, which is calculated by converting the mass of FeBr2 to moles and then dividing by the volume of the solution in liters.
Step-by-step explanation:
To calculate the concentration in moles per liter (mol/L) of the chemist's iron(II) bromide (FeBr2) solution, we need to first convert the mass of FeBr2 into moles. The molecular weight of FeBr2 is approximately 215.65 g/mol. The mass of FeBr2 used is 0.55 kg, which is equivalent to 550 g.
Using the formula:
moles = mass (g) ÷ molar mass (g/mol),
We get:
moles of FeBr2 = 550 g ÷ 215.65 g/mol = 2.550 moles (rounded to 4 significant digits for intermediate calculations).
To find the concentration, we then divide the moles of solute by the volume of the solution in liters:
concentration (mol/L) = moles of solute ÷ volume of solution (L).
The volume of the solution is 0.500 L (since 500 mL is equivalent to 0.500 L). Therefore:
concentration of FeBr2 = 2.550 moles ÷ 0.500 L = 5.10 mol/L (rounded to 2 significant digits).
So, the concentration of the iron(II) bromide solution prepared by the chemist is 5.10 mol/L.