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The acid ionization (hydrolysis) constant of $mathrm{Zn}^{2+}$ is $1.0$ $imes 10^{-9} .$ Which of the following statements are correct?(i) the basic dissociation co...

Question

The acid ionization (hydrolysis) constant of $mathrm{Zn}^{2+}$ is $1.0$ $imes 10^{-9} .$ Which of the following statements are correct?(i) the basic dissociation constant of $mathrm{Zn}(mathrm{OH})^{+}$is $1.0 imes 10^{5}$(ii) the $mathrm{pH}$ of $0.001 mathrm{M} mathrm{ZnCl}_{2}$ solution is 6(iii) the basic dissociation constant of $mathrm{Zn}(mathrm{OH})^{+}$is $1.0 imes 10^{-5}$(iv) the $left[mathrm{H}_{3} mathrm{O}^{+}ight]$ion concentration in $0.001 mathrm{M} mathrm{ZnCl}_{2}$solution is

The acid ionization (hydrolysis) constant of $mathrm{Zn}^{2+}$ is $1.0$ $ imes 10^{-9} .$ Which of the following statements are correct? (i) the basic dissociation constant of $mathrm{Zn}(mathrm{OH})^{+}$is $1.0 imes 10^{5}$ (ii) the $mathrm{pH}$ of $0.001 mathrm{M} mathrm{ZnCl}_{2}$ solution is 6 (iii) the basic dissociation constant of $mathrm{Zn}(mathrm{OH})^{+}$is $1.0 imes 10^{-5}$ (iv) the $left[mathrm{H}_{3} mathrm{O}^{+} ight]$ion concentration in $0.001 mathrm{M} mathrm{ZnCl}_{2}$ solution is $1.0 imes 10^{-4}$. (a) 1,2 (b) 2,3 (c) 3,4 (d) $1,2,4$



Answers

Find the pH and percent ionization of a 0.100 $\mathrm{M}$ solution of a weak monoprotic acid having the given $K_{\mathrm{a}}$ values.
a. $K_{\mathrm{a}}=1.0 \times 10^{-5}$ b. $K_{\mathrm{a}}=1.0 \times 10^{-3}$ c. $K_{\mathrm{a}}=1.0 \times 10^{-1}$

Okay. As the concentration off Jenna Tree is three in 10 days to party ate him so the concentration off hydro new mine produced would be the same. So as the concentration off my drone in irons produced is less than 4.5 to 10 days super minus seven. Hence, the ionization off water should be considered by calculating the pH and sewage. For part B, we have the Moler months that the study's explained for six gram the number off moles off, etc. L equal Baylin toe 36.4606 prom off. It can be calculated as shown, therefore the concentration off, etc. L in one liter of solution is calculated which turned out to this 10.3 a. M as the concentration off etc. Ellis's 0.3 so the concentration off Adonia mine would be the same. Therefore it is greater than 4.5 entertain the super minus seven and the ionization off water should not be considered for anywhere. We have the molar mass. We have the number off moles, the amount off mole which turned out to be two point there under tender super minus Phi. Therefore, the concentration off an A, which in 2.0.5 liter of solution is calculated that is 4.0 into 10 based upon minus five, the concentration off hydroxide ions would be the same as four point. They're going to turn this upon minus five, which is greater than 4.5 into 26 minus seven. Hence, the ionization of water is to be considered for body as the concentration off CEO, which toe is one in to attend the super minus seven. So the concentration off I don't mind produce would be the same as that off it. So as the concentration off, I don't mind. It is less than 4.5 into 20 so common in a seven, the ionization of water should be considered for part e. The concentration off key and No. Three is point 245 them. But the reaction off care no tree with water will result in tow. Neutral solution, as care not really, is electrolyte. Hence, the ionization of water should be considered. While calculating the Ph

So the first part of this question, we have 0.25 Moeller manage for BR Mr An Ionic salt that in water is gonna dissociate to an inch four plus and B R minus. So we didn't take these. Basically, take the effects of each views in water one at a time. Let's start with the arm eyes does gonna be released. Br minus is the conjugated base of HBR, which is an acid, and HBR is on the strongest assets we know And remember The continent base of a strong asset is very weak. And so this has no effect. It's not gonna be at all basic. Um, it's not acidic either. Um, now, an itch for plus is the conjugal acid of NH three, and X three is a weak base. And so Inish four plus is going toe have some acidity to it. It's not going to be like, not at all acidic. There's gonna be something to it. In fact, you can look up the tay of NH four plus part of it, and it is equal to ah, 5.8 times 10 to the negative 10th. And so we're gonna do it. We're gonna 0.25 Moeller of NH four plus and use this K with a nice table in order to get an answer as to what the pH is So remember, we have an itch for class, and water is going to become aged 30 plus and NH to you. And so we have nice table. You always ignore water. The initial concentration manage four plus is right up here 40.25 The initial concentration of these is always zero. In these simple asset base problems, the changed in the minus X plus X plus x so 0.25 minus X accidents. So now I'm gonna write out the mass action expression que treacle a concentration of h 30 plus times the concentration of NH three over the concentration of an age four plus that comes from the fact that we take the products of all of the products here and then over the concentration reactions and plugging in. We're going to get X squared from clogging in this and this right here in here over 0.25 minus x. Now, because 0.25 any much larger than whatever axes X to be like something times 10th and fifth. Probably look for that. And so this is a pretty simple problem. We have this value for K, and when you do that, you love it and you're gonna find that X is going to equal. Hey, what's the Number? X is also going to be equal to the concentration of age three applause, which is how we're gonna use it to get the pH. And so the conscious of the value of access issues. The concentration of HBO plus is equal to 1.20 times sense negative. Fifth. And so remember, the P H is equal to the negative log of the concentration of hydro knee. Um, it's Theo Plus, and so plugging that in will be able to get the pH, which is going to be equal to 4.9 to next problems. We have a zinc chloride. This is going to do so state into chloride minus ends in two. Plus chloride has the exact same thing is going on us with grow me bromide where this is the concrete base of HCL, which you should know is a very strong acid. So this has a negligible basis city not basically all will have any effects. If you had just seal minus in water, Ph would be seven zinc. However, it is a highly charged metal ion and were actually given a k A. For this, um, the K A is equal to 2.5 time sensitive 10th. Um, you should know that metal islands are commonly Lewis assets, and, um, that's how they're gonna be acidic. Um, the concentration of this salt, we have this point for Mueller, and so that's how much I think we're gonna have. And actually, if you take a look, this is an identical problems. What we had above, we have some acid, and it's four plus at a certain concentration and we can were given today we're gonna do the exact same thing. We're gonna just skip over to this step right here where we have the K is equal to x squared over the initial concentration, so que a right here is gonna be equal to X squared over 0.4 initial concentration, and that will give us a value for X, which I'm actually gonna skip ahead because this X is gonna equal to the concentration HDL plus just like it was above. And so Ph remembers equal to the negative log the concentration of H 30 plus. She will plug in whenever you get, And in the end, you're gonna get the at the actors five. Exactly. Which is a nice slow quist.

So which one of these scenarios represents and acidic solution. So for part A, the pH is 3.4 and that one's pretty simple. When a pH is less than seven, the solution is acidic. So the next one asks, Are the next one says concentration of H plus is one times 10 to the minus seven. So if you plug in the Ph formula, um, plugged that in the negative log of one times 10 to the minus seven is seven. So that means you have a neutral solution. Um, the next one is saying P. O. H is 4.51 So um, P O. H is negative log here, which is the excuse me a moment. P. O. H is the negative log of the hydroxide ion concentration, and there's a useful relationship where pH plus p o. H of a solution is equal to 14. So we can just take 14 minus the p o. H. 4.51 and that gives us a P age of 9.5. That's above seven. So this is a basic solution. And then this one saying the hydroxide is 3.21 times 10 to the minus 12 Moeller. And so once So we have this relationship. Ph was p o. H equals 14. That means we also have this relationship. The hydroxide ion concentration times The H plus concentration is one times 10 to the minus 14. These relationships are actually the same. It's just because of the properties of logs you have ph wispy away chuckles 14 or because he is naked Lock or you have hydroxide times h plus gives you one times 10 to the minus 14. It's actually the same relationship. So we do our division here and we get that the high, uh, hydrogen ion concentration is 0.31 I plug that into Ph formula, and I get 2.5. So this is an acidic solution because the pH is less than seven.

In this problem, whereas to calculate the pH corresponding to the given hydrogen ion concentrations, we also asked to tell whether each solution is acidic, basic or neutral. We can solve this problem by using this formula here that relates or hydrogen ion concentration tore pH. We also can determine the identity of the solution by looking at our scale for Ph here. So we see that when the pH is greater than seven, it's a basic solution. When it is equal to seven, it is a neutral solution, and when it's less than set, then we then have an acidic solution. When we plug in to our equation, the peach that we get for first hydrogen ion concentration is equal to three. So based on our scale that we have right here, we can see that this means that we have an acidic solution. When we plug in for part B. Here are teach is equal to 3.66 which also means that we have an acidic solution. Our pH for Part C is equal to 10.4 and this tells us that we have a basic solution when we plug in the concentration corresponding to party. We see that R T H is equal to 6.33 and even though this is close to seven, we still have an acidic solution.


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