Answer:
1) ![[Ba(CH_3COO)_2]=0.1545 mol/L](https://tex.z-dn.net/?f=%5BBa%28CH_3COO%29_2%5D%3D0.1545%20mol%2FL)
![[Ba^{2+}]=0.1545 mol/L](https://tex.z-dn.net/?f=%5BBa%5E%7B2%2B%7D%5D%3D0.1545%20mol%2FL)
![[CH_3COO^-]=0.3090 mol/L](https://tex.z-dn.net/?f=%5BCH_3COO%5E-%5D%3D0.3090%20mol%2FL)
2) 21.72 grams of iron(II) sulfate that must be added.
Explanation:

1) Moles of barium acetate = 
Volume of the solution was made to 500 ml that 0.5 L
![[Ba(CH_3COO)_2]=\frac{0.07725 mol}{0.5L}=0.1545 mol/L](https://tex.z-dn.net/?f=%5BBa%28CH_3COO%29_2%5D%3D%5Cfrac%7B0.07725%20mol%7D%7B0.5L%7D%3D0.1545%20mol%2FL)
In 1 mole of barium acetate there are 1 mole of barium ions and 2 moles of acetate ions.
![[Ba^{2+}]=1\times [Ba(CH_3COO)_2]](https://tex.z-dn.net/?f=%5BBa%5E%7B2%2B%7D%5D%3D1%5Ctimes%20%5BBa%28CH_3COO%29_2%5D)
![[Ba^{2+}]=1\times 0.1545 mol/L=0.1545 mol/L](https://tex.z-dn.net/?f=%5BBa%5E%7B2%2B%7D%5D%3D1%5Ctimes%200.1545%20mol%2FL%3D0.1545%20mol%2FL)
![[CH_3COO^-]=2\times [Ba(CH_3COO)_2]](https://tex.z-dn.net/?f=%5BCH_3COO%5E-%5D%3D2%5Ctimes%20%5BBa%28CH_3COO%29_2%5D)
![[CH_3COO^-]=2\times 0.1545 mol/l=0.3090 mol/L](https://tex.z-dn.net/?f=%5BCH_3COO%5E-%5D%3D2%5Ctimes%200.1545%20mol%2Fl%3D0.3090%20mol%2FL)
2) Moles of iron(II) sulfate be n
Volume of the solution = 300 mL= 0.3 L
![[Fe_2(SO_4)_3]=0.181 M](https://tex.z-dn.net/?f=%5BFe_2%28SO_4%29_3%5D%3D0.181%20M)

n = 0.0543 moles
Mass of 0.0543 moles of iron(II) sulfate:
0.0543 mol × 400 g/mol = 21.72 g
21.72 grams of iron(II) sulfate that must be added.