What is the pH of a solution whose \(\mathrm{H}_{3} \mathrm{O}^{+}\) concentration is \(1.9 \times 10^{-6} \mathrm{M} ?\)

Short Answer

Expert verified
Without using a calculator, the pH cannot be calculated exactly, but with a calculator, the pH will approximately be 5.72.

Step by step solution

01

Understand the pH formula

The pH of a solution is given by the formula: \( pH = -\log[H_3O^{+}]\), where \([H_3O^{+}]\) represents the concentration of hydronium ions in the solution in molarity (M).
02

Substitute the given value into the pH formula

Substitute the provided value of \([H_3O^{+}]\) which is \(1.9 \times 10^{-6}\) into the formula: \( pH = -\log(1.9 \times 10^{-6})\).
03

Calculate the pH value

You calculate the pH using a calculator, remembering that log in this formula represents the decimal logarithm (base 10).

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