QUESTION IMAGE
Question
a solution at 25°c has a hydrogen ion concentration of 2.6 x 10⁻⁵ m. which of the following is true?
h₃o⁺ = oh⁻
h₃o⁺ < oh⁻
h₃o⁺ > oh⁻
none of the above
question 27 (0.0862 points)
which state of matter has indefinite shape and is incompressible?
solid
liquid
gas
2 of the above options
First Question (Hydrogen Ion Concentration)
Step1: Recall ion product of water
At \(25^\circ\text{C}\), \(K_w = [\text{H}_3\text{O}^+][\text{OH}^-] = 1.0\times10^{-14}\).
Step2: Calculate \([\text{OH}^-]\)
Given \([\text{H}_3\text{O}^+] = 2.6\times10^{-5}\ \text{M}\), so \([\text{OH}^-]=\frac{K_w}{[\text{H}_3\text{O}^+]}=\frac{1.0\times10^{-14}}{2.6\times10^{-5}}\approx 3.8\times10^{-10}\ \text{M}\).
Step3: Compare \([\text{H}_3\text{O}^+]\) and \([\text{OH}^-]\)
Since \(2.6\times10^{-5}>3.8\times10^{-10}\), we have \([\text{H}_3\text{O}^+] > [\text{OH}^-]\).
- Solids have definite shape and are incompressible.
- Liquids have indefinite shape (take the shape of their container) and are incompressible (negligible volume change under pressure).
- Gases have indefinite shape and are compressible (volume changes significantly with pressure).
So the state with indefinite shape and incompressible is liquid.
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\([\text{H}_3\text{O}^+] > [\text{OH}^-]\) (the third option)