Answer:
1)
![[Ba(CH_3COO)_2]=0.1545 mol/L](https://img.qammunity.org/2020/formulas/chemistry/college/s805hd0ayowy48nmdyryp2yklt5dzyguwh.png)
![[Ba^(2+)]=0.1545 mol/L](https://img.qammunity.org/2020/formulas/chemistry/college/hs11tvl7lyau9n6wi7fu027vf6uztq5mej.png)
![[CH_3COO^-]=0.3090 mol/L](https://img.qammunity.org/2020/formulas/chemistry/college/3zdvxnmz8emzcd1llrfr32uezx44vy5q2b.png)
2) 21.72 grams of iron(II) sulfate that must be added.
Step-by-step explanation:

1) Moles of barium acetate =

Volume of the solution was made to 500 ml that 0.5 L
![[Ba(CH_3COO)_2]=(0.07725 mol)/(0.5L)=0.1545 mol/L](https://img.qammunity.org/2020/formulas/chemistry/college/tunnzrr94j6gf0uy3eafrczqhjlug2hs34.png)
In 1 mole of barium acetate there are 1 mole of barium ions and 2 moles of acetate ions.
![[Ba^(2+)]=1* [Ba(CH_3COO)_2]](https://img.qammunity.org/2020/formulas/chemistry/college/2ajgy7448vjjpu3jyfp0mn13bumd1cxdpd.png)
![[Ba^(2+)]=1* 0.1545 mol/L=0.1545 mol/L](https://img.qammunity.org/2020/formulas/chemistry/college/zo0wgyi8x30k4luu8qo0hcsoff1t7zxnsv.png)
![[CH_3COO^-]=2* [Ba(CH_3COO)_2]](https://img.qammunity.org/2020/formulas/chemistry/college/eilbuyq2iejlpqlosxjy5wop2h65d2l2c5.png)
![[CH_3COO^-]=2* 0.1545 mol/l=0.3090 mol/L](https://img.qammunity.org/2020/formulas/chemistry/college/xq2bzu468dphhpr1xy0x2yf7ts9ths8uz8.png)
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://img.qammunity.org/2020/formulas/chemistry/college/raizf5npiov2jyfq7u2x68py6gugeub2rn.png)

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.