Suppose ‘solution a’ has a ph of 3, ‘solution b’ has a ph of 7, and ‘solution c’ has a ph of 10. if solution b contains 10,000,000 h + ions in a given volume, how many ions will each of solution a and solution c have in equal volumes?

Solution A: 100,000,000,000Solution C: 10,000

Explanation:

The definition of pH is pH = - log [H⁺], i.e.  pH is the negative of the base 10 logarithm of the conentration of H⁺ ions.

Since you have the number of H⁺ ions in the solution B and its pH, you can calculate the volume, V:

pH = 7 = - log [H⁺] = -  log { 10,000,000 / V)Apply antilogarithm: (10,000,000 / V) = 10⁻⁷Solve for V: V = 10,000,000 / 10⁻⁷ = 10¹⁴ liter

That is the same volume of the solutions A and C, so you can use the formula to calculate the pH of the solutions A and C.

Solution A:

pH = 3V = 10¹⁴ liter 3 = - log { n /10¹⁴ } n / 10¹⁴ = 10⁻³n = 10⁻³ × 10¹⁴ = 10¹¹ = 100,000,000,000

Solution C:

pH = 10V = 10¹⁴ liter 10 = - log { n /10¹⁴ } n / 10¹⁴ = 10⁻¹⁰n = 10⁻¹⁰ × 10¹⁴ = 10⁴ = 10,000

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The answer would be c. fish