Understanding the Relationship
* Kw (Ion Product Constant of Water): The product of the hydronium ion concentration ([H3O+]) and the hydroxide ion concentration ([OH-]) in water is always a constant at a given temperature. This constant is called Kw and has a value of 1.0 x 10^-14 at 25°C.
* Equation: Kw = [H3O+][OH-]
Calculation
1. Start with the given hydronium ion concentration: [H3O+] = 0.13 M
2. Use the Kw equation to solve for the hydroxide ion concentration:
* 1.0 x 10^-14 = (0.13 M) * [OH-]
* [OH-] = (1.0 x 10^-14) / (0.13 M)
* [OH-] ≈ 7.7 x 10^-14 M
Answer: The hydroxide ion concentration in the solution is approximately 7.7 x 10^-14 M.
