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The pH of the following acid solutions was measured using a pH meter - VCE - SSCE Chemistry - Question 5 - 2014 - Paper 1

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The pH of the following acid solutions was measured using a pH meter. Solution Volume Concentration nitrous acid 10.0 mL 0.10 M ethanolic acid 20.0 mL 0.10 M hypobr... show full transcript

Worked Solution & Example Answer:The pH of the following acid solutions was measured using a pH meter - VCE - SSCE Chemistry - Question 5 - 2014 - Paper 1

Step 1

Determine the relative strength of the acids

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Answer

To calculate the pH, we first need to consider the relative strengths of the acids. Nitrous acid (HNO2) is a weak acid, while ethanoic acid (acetic acid, CH3COOH) is also a weak acid, but has a lower dissociation constant than nitrous acid. Hypobromous acid (HBrO) is a weak acid, and hypochlorous acid (HClO) is similarly weak. Generally, nitrous acid is considered stronger than ethanoic acid, given comparable concentrations.

Step 2

Evaluate acid dissociation constants

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The acid dissociation constant (Ka) can provide insights into the strength of these acids. For example:

  • HNO2 has a higher Ka, meaning stronger potential for hydrogen ion release.
  • CH3COOH has a lower Ka, resulting in fewer hydrogen ions in solution. Thus, nitrous acid will yield a lower pH than ethanoic acid.

Step 3

Calculate pH for each solution

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The pH of a strong acid can be approximated with the formula: extpH=extlog[extH+] ext{pH} = - ext{log}[ ext{H}^+] For weak acids, we can use the formula: ext{pH} = - ext{log}(C) + rac{1}{2} ext{log} rac{K_a}{ ext{M}} where C is concentration, K_a is the acid dissociation constant, and M is the concentration at equilibrium. However, since all solutions are 0.10 M and considering their strengths, nitrous acid would still dominate in terms of lower pH.

Step 4

Conclusion

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Based on the analysis of relative strength and dissociation constants, the acid solution that will have the lowest pH is A. nitrous acid.

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