Question

At 100.0∘C, the ion product of water is 5.13×10−13. What is the concentration of hydroxide ions at this temperature? Your answer should include three significant figures. Write your answer in scientific notation. Use the multiplication symbol rather than the letter x in your answer.

Answer 1

Answer: The concentration of hydroxide ions at this temperature is $7.16\times 10^{-7}$

Explanation:

When an expression is formed by taking the product of concentration of ions raised to the power of their stoichiometric coefficients in the solution of a salt is known as ionic product.

The ionic product for water is written as:

$K_w=[H^+][OH^-]$

$5.13\times 10^{-13}=[H^+][OH^-]$

As $[H^+]=[OH^-]$

$5.13\times 10^{-13}=x^2$

$x=7.16\times 10^{-7}$

The concentration of hydroxide ions at this temperature is $7.16\times 10^{-7}$