Students working in lab accidentally spilled 14 L of 3.0 M H2SO4 solution. They find a large container of acid neutralizer that contains baking soda, NaHCO3. How many grams of baking soda will be needed to neutralize the sulfuric acid spill? Do not include a unit in your answer or it will be counted wrong. Use correct significant figures.
First we have to balance the chemical reaction equation
2 NaHCO3 (s) + H2SO4 (aq) --> Na2SO4 (aq) + 2 H2O(l) + 2CO2 (g)
according to above balanced equation we find 2 moles of baking soda requires 1 mole H2SO4 hence we have to calculate how many moles are present in 14 L of 3.0 M H2SO4 solution.
moles H2SO4 = 14 L x 3.0 M = 42 mol, this represent we need twice of this amount of NaHCO3
moles NaHCO3 required = 2 x 42 mol = 84 moles
convert moles NaHCO3 to mass NaHCO3 by multiplying with molar mass of NaHCO3 (molar mass of NaHCO3 = 84.007 g/mol)
grams of baking soda will be needed to neutralize the sulfuric acid spill = 84 mol x 84.007 g/mol = 7056.588 grams
Final answer without unit and with significant figures = 7.1 x 103 (OR) 7.1E3
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