The given question is lacking some details, the complete question is following
Question:
An aqueous solution at 25 °C has a OH⁻ concentration of 2.5 x 10⁻⁴ M . Calculate the H₃O⁺ concentration. Be sure your answer has the correct number of significant digits
Answer:
Concentration of H₃O⁺ is:
![[H_{3}O^{+}]=4.0X10^{-9} M](https://tex.z-dn.net/?f=%5BH_%7B3%7DO%5E%7B%2B%7D%5D%3D4.0X10%5E%7B-9%7D%20M)
Explanation:
In aqueous solutions the product of the concentration of hydronium ions H₃O⁺ and hydroxide ions OH⁻ is 1.0 x 10⁻¹⁴. This value is the dissociation or ionization constant of water at 25 °C. Its formula is given as:
![Kw = [H_{3} O^{+}][OH^{-} ]](https://tex.z-dn.net/?f=Kw%20%3D%20%5BH_%7B3%7D%20O%5E%7B%2B%7D%5D%5BOH%5E%7B-%7D%20%5D)
](https://tex.z-dn.net/?f=1.0%20X%2010%5E%7B-14%7D%3D%20%5BH_%7B3%7DO%5E%7B%2B%7D%5D%282.5%20X%2010%5E%7B-4%7D%29)
![[H_{3}O^{+}]= \frac{1.0X10^{-14}}{2.5 X 10^{-4}}](https://tex.z-dn.net/?f=%5BH_%7B3%7DO%5E%7B%2B%7D%5D%3D%20%5Cfrac%7B1.0X10%5E%7B-14%7D%7D%7B2.5%20X%2010%5E%7B-4%7D%7D)
![[H_{3}O^{+}]=4.0X10^{-9} M](https://tex.z-dn.net/?f=%5BH_%7B3%7DO%5E%7B%2B%7D%5D%3D4.0X10%5E%7B-9%7D%20M)
P.S: As the smallest number of significant figure in the ratio was two, so the answer contains two significant figures.