<u>Answer:</u> The theoretical yield of iron(III) sulfate is 26.6 grams
<u>Explanation:</u>
To calculate the number of moles, we use the equation:
.....(1)
Given mass of iron(III) phosphate = 20.00 g
Molar mass of iron(III) phosphate = 150.82 g/mol
Putting values in equation 1, we get:
![\text{Moles of iron(III) phosphate}=\frac{20g}{150.82g/mol}=0.133mol](https://tex.z-dn.net/?f=%5Ctext%7BMoles%20of%20iron%28III%29%20phosphate%7D%3D%5Cfrac%7B20g%7D%7B150.82g%2Fmol%7D%3D0.133mol)
The given chemical equation follows:
![2FePO_4+3Na_2SO_4\rightarrow Fe_2(SO_4)_3+2Na_3PO_4](https://tex.z-dn.net/?f=2FePO_4%2B3Na_2SO_4%5Crightarrow%20Fe_2%28SO_4%29_3%2B2Na_3PO_4)
As, sodium sulfate is present in excess. So, it is considered as an excess reagent.
Thus, iron(III) phosphate is considered as a limiting reagent because it limits the formation of product.
By Stoichiometry of the reaction:
2 moles of iron(III) phosphate produces 1 mole of iron(III) sulfate
So, 0.133 moles of iron(III) phosphate will produce =
of iron(III) sulfate
Now, calculating the mass of iron(III) sulfate from equation 1, we get:
Molar mass of iron(III) sulfate = 399.9 g/mol
Moles of iron(III) sulfate = 0.0665 moles
Putting values in equation 1, we get:
![0.0665mol=\frac{\text{Mass of iron(III) sulfate}}{399.9g/mol}\\\\\text{Mass of iron(III) sulfate}=(0.0665mol\times 399.9g/mol)=26.6g](https://tex.z-dn.net/?f=0.0665mol%3D%5Cfrac%7B%5Ctext%7BMass%20of%20iron%28III%29%20sulfate%7D%7D%7B399.9g%2Fmol%7D%5C%5C%5C%5C%5Ctext%7BMass%20of%20iron%28III%29%20sulfate%7D%3D%280.0665mol%5Ctimes%20399.9g%2Fmol%29%3D26.6g)
Hence, the theoretical yield of iron(III) sulfate is 26.6 grams