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Question 291ptsCalculate the pH of the following aqueous solution: 0.5 MHCOz (pK,l 6.37; pKa2 10.25) . Choose your answer from the following pH ranges:pH 9.00 -10.9...

Question

Question 291ptsCalculate the pH of the following aqueous solution: 0.5 MHCOz (pK,l 6.37; pKa2 10.25) . Choose your answer from the following pH ranges:pH 9.00 -10.99pH 3.00-5.99pH 6.00-8.99pH 0.00-2.99pH 11.00-14.00

Question 29 1pts Calculate the pH of the following aqueous solution: 0.5 MHCOz (pK,l 6.37; pKa2 10.25) . Choose your answer from the following pH ranges: pH 9.00 -10.99 pH 3.00-5.99 pH 6.00-8.99 pH 0.00-2.99 pH 11.00-14.00



Answers

Calculate the $\mathrm{pH}$ of each solution in Question 47 to verify your prediction.

So in This problem we've got going on is that we have grassed if they got the pH of two different salts with two different concentrations. And so these are two entirely separate problems, but they're done this similar way. And so let's focus in on the search one where we have C H three and H three c out. And this is assault of ch three and H three plus and seal minds. And so you should know by now that since still nice is a country base of HCL, which is one of strongest assets we have, C O minus is basically neutral I own. So this doesn't really play a role in what we're working with. Your figure out the pH. On the other hand, C h three n actually plus, is the conjugal asset of ch three and age to which is metal of me. And this is something that has a K B. That you could look up. In fact, I did look it up and we get 4.4 times 10 to the negative fourth. And so since we're asked to figure out basically what is the acidity of 0.1 Moeller ch three an instinct. Plus, we need to figure out k of this of this value, and this is really easy to do, since we have the K B of its cars, good base and so remember that que oven acid times K B of its contra bass use tense interview to 14th. We have that KB of methyl amine 4.4 times 10 to the negative fourth. And so if you plug this into a calculator, you'll find that K equals two point 272 time sense of negative 11th. And so the next step is we need to, uh, plug this into a mass action expression. So if you do a nice table, you'll and this is something that, after doing many times you'll recognize there's always gonna be the case of an acid acting water. You'll have that the ice table equals X squared over the initial concentration, which we were told was 0.1 Moeller minus X. But we'll ignore acts because it's going to be much smaller than 0.1 Now. If you don't understand where this is coming from, go ahead and do a nice table for the reaction of at N. H. of C H three, NH three plus and water becoming methyl amine And, um hi, Joanie, Um And then prove to yourself that this is the result you'll get. But either way, way can now solve for X and X is going to be, um, equal to 1.5 times 10 to the negative six. And that because this was an acid association is equal to our concentration HDL plus, and that makes this very convenient. We can just go directly from HBO plus into solving for the pH. Because the pH is by definition, the negative log of the concentration of HBO. Plus will plug that in here, and we put this in a calculator. You get the answer of five. Quite a to straight now. He approached the second problem. The second problem had, um, let's take a look. We had 0.5 Moeller sodium cyanide. And so this is assault of N A plus and C N minus and a plus is a neutral I on. So this is not really playing a role in what will look in here, but CN minus is the conjugal base of H. C N, which is a weak acid and I mean CN minus is going to be somewhat of a stronger base. They will have some non negligible basis t to it. And so we can look up the k of h c n. And that will be equal to 6.2 time sensitive tough partly. And since we have k A of h c n, we can figure out the baby of its country based the same way we did before that, que times k b he goes tense, the negative 14th and so plugging this in I'll do, uh, do the calculator work for you. K B is equal to 1.61 time stance and get it fit. Great. So now this is the equilibrium constant that is going to govern this reaction CN minus and water being an equilibrium with O h minus and H c n. And so, if you didn't I stable for this, you would fine. That baby is equal to x square over the initial concentration with this 0.5 minus X. Um, And like I said earlier, if you're not convinced about this, you go ahead, do a nice table and convince yourself that this is what it's always going to end up. But either way, this X value here is gonna be much smaller than 0.5 So we ignore it. We have K B from the other side over the right. That's a 1.61 time sensitive your fifth. Now we can solve for X in X is going to be 8.98 times 10 to the negative. Fourth more. And since O. H minus is our product not Hi, Joanie Mound. This ax is equal to the concentration of O. H minus. And unlike before, we can't go directly to finding the pH. We first need to find the concentration of extreme Plus. The good thing is, there's a really good relationship between the concentration of O H minus and X three plus, which is that their product is equal to 10. So negative 14th. This is, uh, ah product. This is a result of the organization of water and so plugging in that value that we got 8.98 Some sense a negative Fourth we can find the concentration of HBO plus is equal to 1.1 ones have sense a negative 11th and from there remember the by definition, as he did earlier. Ph is negative. Log the concentration of hi, Joanie. Um, and that gives us 10.95

Hello, everyone. My name is Mohammed Ali in this question, the first are the concentration off. The upside is equal the concentration off a strong base dyin spies and number off all edge in the strong base. So here we have one each so the concentration will be equal to the concentration off the strong days. Now we can calculate the B O. H, which is equal negative logs of concentration. So it will be all buoyant. Ono in three and the B H is equal 40 negative to the value off peor it so it will be certain. Boy 907 Here's a concentration off hydroxide is equal the concentration off the strong days times by the number of eyedrops side in a in a strong breeze which is too so it will be over going for four muehler. Now we can calculate the value off people edge, which is a negative logs of concentrations. So it will be all Boeing 356 Now we can calculate the value of B H, which is 14 negative to the value off jahrige. So it will be 13.644 That's number B number C. It will be the concentration off my group side is equal the concentration off a strong base and the space is containing only one way. So the concentration of our side will be equal to the concentration of a strong raise. So now we can calculate the value off P O. H, which is equal negative, long the value off the concentration or itchy negatives. So it will be 1.7 Last thing. The calculation on the B age the D H. Is equal 14 Negative too. The value of pure. So it will be 12 boring minds three. Thank you.

Solution for part e. We have a region is see is three syllable edge. See the below less it positive K is equal to it's positive. Concentration into C is tree seed of a low. They get to concentration. Divided by see is three see develop each concentration. It's positive concentration as equal to behave See is three. Seed of Alona Get to concentration so get a Is it weird to it's positive All square divided by concentration off See history Cedar Village It's positive concentration is equal to and different Get a into concentration off c'est three CDA below it UK is equal to look okay. Yeah, since the judging we'll use we get it's positive. Concentration is equal to under Route one point 1.7 Multiply 10 raised to the power minus five. I want to play. One is equal to 1.7 magic light In rest of the power minus five be it is equal to minus Look into concentration as positive is it will do 4.76 STP Age is solution for part B in a similar way. It's positive concentration is equal to undershoot. Get a multi play concentration. All CS three in its two substituting values we get here is positive. Concentration is equal to 1.9. Multiply can rest easy power minus 11 multiply. 0.1 is equal to 1.9. Multiply 10 Recipe Barber minus 12 and he is is equal to my knees. Log in due expository concentration. Is it well, too? 11.7 Mr P. It's me and you in solution for part C Using Henderson history. Bold vision we here get here is equal to pH plus log concentration off pursuit devoted by against additional fees. Be it is equal to beat it, minus log concentration off a suit divided by concentration off base here, a suit concentration is equal to 0.3 and Basic Instinct Crecion is equal to 3.7 seats. Such a shooting will use. We get be. It's is equal to P. K. Minus log 0.3 upon 3.7 seats is equal to 3.76 minus log. 0.797 is equal to 3.85 Devalue off. It's

To calculate the pH of this buffer solution. We simply need to know what the PK is and that was given to us at 4.75 And then we need to identify the concentration of the base, which in this case is ch three C to minus. And the acid, which is see, it's three CEO age. So pH is going to be equal to PKK, which is given to us for a CD Kassid, plus the log of the acid ate concentration, which is 0.4 divided by the gases concentration, which is 0.8 and pH is 4.45


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