What is the molarity of a sulfuric acid solution if 60.00 mL of H2SO4 is required to neutralize 0.420 g of sodium hydrogen carbonate (84.01 g/mol)?
H2SO4(aq) + 2 NaHCO3(aq) → Na2SO4(aq) + 2 H2O(l) + 2 CO2(g)
Molar mass of NaHCO3 = 84.01 g/mol
mass of NaHCO3 = 0.42 g
we have below equation to be used:
number of mol of NaHCO3,
n = mass of NaHCO3/molar mass of NaHCO3
=(0.42 g)/(84.008 g/mol)
= 5*10^-3 mol
From balanced chemical reaction, we see that
when 2 mol of NaHCO3 reacts, 1 mol of H2SO4 reacts
mol of H2SO4 reacted = (1/2)* moles of NaHCO3
= (1/2)*5*10^-3
= 2.5*10^-3 mol
This is number of moles of H2SO4
volume , V = 60.0 mL
= 6*10^-2 L
we have below equation to be used:
Molarity,
M = number of mol / volume in L
= 2.5*10^-3/6*10^-2
= 4.166*10^-2 M
Answer: 4.166*10^-2 M
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