Answer: Therefore, the pH of the solution with a hydronium concentration of 4.7 × 10^-11 is approximately 11.6721.
Explanation: The pH of a solution is a measure of its acidity or alkalinity. It is defined as the negative logarithm (base 10) of the hydronium ion concentration in the solution. The hydronium ion (H3O+) is formed when a water molecule (H2O) gains a hydrogen ion (H+). Therefore, to determine the pH of a solution, we need to calculate the negative logarithm of the hydronium concentration.
In this case, the hydronium concentration is given as 4.7 × 10^-11. To find the pH, we can use the formula:
pH = -log[H3O+]
Substituting the given value into the formula:
pH = -log(4.7 × 10^-11)
To simplify the calculation, we can express 4.7 × 10^-11 as a power of 10:
pH = -log(4.7) + log(10^-11)
Since log(10^-11) is equal to -11, we have:
pH = -log(4.7) - 11
Using a scientific calculator or computer software, we can find that log(4.7) is approximately 0.6721. Therefore:
pH ≈ -0.6721 - 11
Calculating this expression gives us:
pH ≈ -11.6721
Therefore, the pH of the solution with a hydronium concentration of 4.7 × 10^-11 is approximately 11.6721.