Answer:
pH = 2.03
Explanation:
The pH can be calculated using the following equation:
![pH = -log [H_{3}O^{+}]](https://tex.z-dn.net/?f=%20pH%20%3D%20-log%20%5BH_%7B3%7DO%5E%7B%2B%7D%5D%20)
(1)
The concentration of H₃O⁺ is calculated using the dissociation constant of the next reaction:
CH₃COOH + H₂O ⇄ CH₃COO⁻ + H₃O⁺
1.00 M
![K_{a} = \frac{[CH_{3}COO^{-}][H_{3}O^{+}]}{[CH_{3}COOH]}](https://tex.z-dn.net/?f=%20K_%7Ba%7D%20%3D%20%5Cfrac%7B%5BCH_%7B3%7DCOO%5E%7B-%7D%5D%5BH_%7B3%7DO%5E%7B%2B%7D%5D%7D%7B%5BCH_%7B3%7DCOOH%5D%7D%20)
Solving the above equation for H₃O⁺, we have:
![[H_{3}O^{+}] = \frac{Ka*[CH_{3}COOH]}{[CH_{3}COO^{-}]}](https://tex.z-dn.net/?f=%20%5BH_%7B3%7DO%5E%7B%2B%7D%5D%20%3D%20%5Cfrac%7BKa%2A%5BCH_%7B3%7DCOOH%5D%7D%7B%5BCH_%7B3%7DCOO%5E%7B-%7D%5D%7D%20)
(2)
The dissociation constant is equal to:
Now, by solving the equation of the solubility product for Herbigon, we can find [CH₃COO⁻]:
CH₃COOX ⇄ CH₃COO⁻ + X⁺
5.00x10⁻³ M
![K_{sp} = [CH_{3}COO^{-}][X^{+}]](https://tex.z-dn.net/?f=%20K_%7Bsp%7D%20%3D%20%5BCH_%7B3%7DCOO%5E%7B-%7D%5D%5BX%5E%7B%2B%7D%5D%20)
![[CH_{3}COO^{-}] = \frac{K_{sp}}{[X^{+}]} = \frac{9.40 \cdot 10^{-6}}{5.00 \cdot 10^{-3}} = 1.88 \cdot 10^{-3} M](https://tex.z-dn.net/?f=%5BCH_%7B3%7DCOO%5E%7B-%7D%5D%20%3D%20%5Cfrac%7BK_%7Bsp%7D%7D%7B%5BX%5E%7B%2B%7D%5D%7D%20%3D%20%5Cfrac%7B9.40%20%5Ccdot%2010%5E%7B-6%7D%7D%7B5.00%20%5Ccdot%2010%5E%7B-3%7D%7D%20%3D%201.88%20%5Ccdot%2010%5E%7B-3%7D%20M)
By entering the values of [CH₃COO⁻] and Ka, into equation (2) we can calculate [H₃O⁺]:
![[H_{3}O^{+}] = \frac{1.74 \cdot 10^{-5}*[1.00]}{[1.88 \cdot 10^{-3}]} = 9.26 \cdot 10^{-3} M](https://tex.z-dn.net/?f=%5BH_%7B3%7DO%5E%7B%2B%7D%5D%20%3D%20%5Cfrac%7B1.74%20%5Ccdot%2010%5E%7B-5%7D%2A%5B1.00%5D%7D%7B%5B1.88%20%5Ccdot%2010%5E%7B-3%7D%5D%7D%20%3D%209.26%20%5Ccdot%2010%5E%7B-3%7D%20M)
Hence, the pH is:
![pH = -log [H_{3}O^{+}] = -log [9.26 \cdot 10^{-3}] = 2.03](https://tex.z-dn.net/?f=%20pH%20%3D%20-log%20%5BH_%7B3%7DO%5E%7B%2B%7D%5D%20%3D%20-log%20%5B9.26%20%5Ccdot%2010%5E%7B-3%7D%5D%20%3D%202.03%20)
Therefore, the pH must be 2.03 to yield a solution in which the concentration of X⁺ is 5.00x10⁻³M.
I hope it helps you!
Missing question:
<span>a) mass.
b) diameter.
c) distance from the Sun.
d) density.
Answer is: </span>d) density.
Earth has the highest density of all eight planets in the Solar System, density of the Earth is 5.514 g/cm³<span>.
</span>The four inner planets,<span> closest to the Sun, are all </span>terrestrial planets, which means they are composed of silicate rocks and metals and four outer planets<span> are </span>gas giants, they<span> are composed of hydrogen, helium and water.
</span>Earth is third planet from the Sun.
Answer:
1. Many different hypotheses will be tested.
Explanation:
Scientists test every hypothesis they make for their investigation, before moving onto bigger conclusions.
