Final answer:
To find the concentration of SO4^2- that remains in solution, you can calculate the moles of SO4^2- in the initial solution and divide it by the final volume of the solution. Given the initial solution of 120 mL of 0.200 M KOH and the final volume of 400 mL, you can calculate the moles of KOH and use the balanced equation to determine the moles of SO4^2-. Finally, divide the moles of SO4^2- by the final volume to find the concentration.
Step-by-step explanation:
To determine the concentration of SO42- that remains in solution, we need to calculate the number of moles of SO42- in the initial solution and divide it by the final volume of the solution.
Given that the initial solution is 120 mL of 0.200 M KOH and the final volume is 400 mL (120 mL + 280 mL), we can first calculate the number of moles of KOH:
Moles of KOH = volume of KOH solution (L) x concentration of KOH (M)
Moles of KOH = 0.120 L x 0.200 M = 0.024 mol
Since the balanced equation is 2KOH(aq) + NiSO4(aq) → K2SO4(aq) + Ni(OH)2(s), we can see that for every 2 moles of KOH, 1 mole of SO42- is produced.
So the moles of SO42- in the initial solution is 0.024/2 = 0.012 mol.
Finally, we divide the moles of SO42- by the final volume of the solution to find the concentration:
Concentration of SO42- = moles of SO42- / final volume of solution (L)
Concentration of SO42- = 0.012 mol / 0.400 L = 0.03 M.