(a) Potassium metal is K(s). This one is straight forward.
(b) In other words, what is the heat of reaction (Hrxn) for this reaction? What are the H °f values for potassium metal and water?
(c) q = -q
where q = mc(Tfinal - Tinitial)
m = mass
c = 4.184 J/g*K
T = temperature
(d) Look up the definition of molarity. What are its units? Using this information, you can say that x mol of KOH is neutralized by x mol of H2SO4 per unit of volume.
Use the chemical equilibrium of KOH and H2SO4 to get the molar ration of KOH:H2SO4. This will allow you to calculate how many moles of H2SO4 you will need. If you already know that there are .554 mol of H2SO4 per Liter of solution, then how many Liters of solution is x moles you just found?
Hint: To get the volume of KOH/H2O solution, use the density of water (1.998 g/L) to calculate how many Liters of water is 400.00g.