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What is the pH of a solution made by dissolving 0.1 moles of NaOH and 0.2 moles of HCl in 2 L of water?

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Answer:

pH = 1.30

Step-by-step explanation:

The reaction that would take place between HCl and NaOH is:

  • HCl + NaOH → NaCl + H₂O

In this problem, the 0.1 moles of NaOH would react with 0.1 moles of HCl, leaving 0.1 moles of HCl unreacted.

These 0.1 HCl moles are dissolved in 2 liters, thus the concentration of H⁺ species is:

  • [H⁺] = moles / volume
  • [H⁺] = 0.1 mol / 2 L =0.05 M

Finally we calculate the pH:

  • pH = -log[H⁺]
  • pH = -log[0.05]
  • pH = 1.30
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