William W. answered 07/11/19
Math and science made easy - learn from a retired engineer
Step 1: Write the raw (unbalanced) equation with just the individual compounds balanced for charge:
K2SO4 + Ba(NO3)2 → BaSO4 + KNO3
(We know Barium is Ba+2 and we know Nitrate is NO3- so there needs to be two nitrates to balance the +2 charge of the Barium ion. We also know that there is Potassium (K) left that is not mentioned in the products as well as the Nitrate (NO3) and combining them together 1 for 1 since they are a +1 and -1 charge gives us KNO3)
Step 2: Balance the equation side to side
K2SO4 + Ba(NO3)2 → BaSO4 + 2KNO3
(Since there are two K's on the left, add a 2 in front of the KNO3 on the right. That also balances the 2 NO3's on the left.)
Step 3: Add the states of matter.
K2SO4 (aq) + Ba(NO3)2 (aq) → BaSO4 (ppt) + 2KNO3 (aq)
(You are told the BaSO4 is a precipitate. Note that you can also use "(s)" instead of "(ppt)")
Step 4: Write the total ionic equation to see what the spectator ions are:
2K+ (aq) + SO42- (aq) + Ba2+ (aq) + 2NO3- (aq) → BaSO4 (ppt) + 2K+ (aq) + 2NO3- (aq)
So the Potassium (2K+) ions and the Nitrate (2NO3-) ions are the spectator ions