What mass of NaOH(s) must be added to 300 mL of HCl 0.25 M in order to completely neutralize this acid?
2 HCl + NaOH → NaCl + H2O
Solution:
The balanced chemical equation:
HCl + NaOH → NaCl + H2O
According to the equation above: n(HCl) = n(NaOH)
Molarity of HCl = Moles of HCl / Solution volume
Hence,
Moles of HCl = n(HCl) = Molarity of HCl × Solution volume
n(HCl) = 0.25 M × 0.3 L = 0.075 mol
n(NaOH) = n(HCl) = 0.075 mol
Moles of NaOH = Mass of NaOH / Molar mass of NaOH
The molar mass of NaOH is 40.0 g mol-1.
Hence,
Mass of NaOH = Moles of NaOH × Molar mass of NaOH
Mass of NaOH = 0.075 mol × 40.0 g mol-1 = 3.00 g
Mass of NaOH = 3.00 g
Answer: 3.00 grams of of NaOH must be added.
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