Final answer:
To neutralize the 100.0 mL of 3.0 mol/L nitric acid spill, the teacher would need 50.0 mL of sodium bicarbonate with the same molar concentration.
Step-by-step explanation:
To neutralize the spill of 100.0 mL of 3.0 mol/L nitric acid, the teacher would need to sprinkle sodium bicarbonate (NaHCO3) on it. The balanced chemical equation for the neutralization reaction between nitric acid and sodium bicarbonate is:
2HNO3(aq) + NaHCO3(aq) → NaNO3(aq) + CO2(g) + H2O(l)
From this balanced equation, we can see that 2 moles of nitric acid react with 1 mole of sodium bicarbonate. Therefore, to neutralize 1 mL of 3.0 mol/L nitric acid, we would need 0.5 mL of sodium bicarbonate with the same molar concentration.
Using this information, to neutralize the 100.0 mL of 3.0 mol/L nitric acid, the teacher would need:
0.5 mL/mL × 100.0 mL/mL = 50.0 mL of sodium bicarbonate with the same molar concentration.