The balanced chemical equation for the reaction between H₂SO₂ and KOH is:
H₂SO₂ + 2KOH → K₂SO₂ + 2H₂O
From the equation, we can see that 1 mole of H₂SO₂ reacts with 2 moles of KOH.
Given that 300 mL of 0.5 M KOH are required to neutralize 15.0 mL of H₂SO₂, we can calculate the number of moles of KOH used:
moles of KOH = Molarity × Volume (in liters) = 0.5 × 0.3 = 0.15
Since 2 moles of KOH react with 1 mole of H₂SO₂, the number of moles of H₂SO₂ in the 15.0 mL sample can be calculated as:
moles of H₂SO₂ = 0.15/2 = 0.075
The molar concentration of H₂SO₂ can be calculated as:
Molarity = moles/volume (in liters) = 0.075/(15/1000) = 5 M
Therefore, the molar concentration of H₂SO₂ is 5 M, which is magenta in the given color options.