Extended pH Scale Problem

00:00 3 marks

  • Build Confidence
  • SL & HL
  • Tier 4
  • Exponential functions
  • Logarithms
  • Significant figures
  • pH calculation

A solution has a pH of 3.00. Using the formula \(pH = -\log[H^+]\), calculate the concentration of hydrogen ions in the solution. If the concentration is increased by a factor of 10, what will be the new pH of the solution? Provide your answers to three significant figures.

Hint Hint

Hint

Recall that increasing the concentration by a factor of 10 decreases the pH by 1 unit, because of the logarithmic relationship. Ensure your final answers are stated to three significant figures.

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Complete Answer

The concentration is \(1.00 \times 10^{-3}\) M and the new pH is 2.00.

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