Chapter 16 Problem one fourteen 14. Chemistry's the Central Science. So the question gives us two equations for glass stains for the K and the for the K B when an equally graham with water and the first question access to use the values of K and K B tio this estimate and the equilibrium constant for the inter molecular protein transfer for the word of God. So to do this, we know that our K equilibrium is going to equal to K a times K B. And when every plugging our numbers from that as listed above, you do 4.3 times 10 to the third times 6.0 times 10 to the negative five. And when you play that into your calculator, you get 2.6 times 10 to the negative seven. And so that is going to be your answer for apart, eh? So for part B, it's access. What is the ph of a pointer of by Muller equi? A solution of slicing. And so did any of this. We're gonna have to use an ice table and a K A value to people to get the answer. So the first thing we need June's right out of the equation to me. But like it, this so we're going to do. Hmm? Is we have R H three n c h to CEO Oh, minus in this plus plus, our h two well goes to in each too. Sorry, guys. Goes to each two in CH to CEO minus plus each 30 plus. So now that we have this, we can know Figure out what our eat equation is going to being, and we can use our ice people from there. So we know we have an I c e in our initial concentration. Was there a 0.5? Since we have water that does not play a role here. And also, we don't have scissors very concentration off for and, um, each fio plus. So now what we're going to do is then right, and the exchange is gonna happen. So we're going to subtract something from the initial concentration, and then we're gonna add that to the other side, and then we're gonna have the equilibrium where we add the two scissor cleanser of five Mueller minus x x and then X. So the next thing we have to do is actually find our K a value, especially since we had that h three plus we know is a K and K p and be able to find our cave. Eh? We had to use the equation given above that matches the equation. K W is equal to K a tanz came B where Kay is going to go on a k w divide by K p. And so whenever we plug in our values, we get one times 10 to native 14th divided by six times 10 to the negative five. We get a K A value of 1.6 six times 10 to the negative him. It's one thing to note is that since rk A value is very small, it's going to make it insignificant and impact onto ours. There Pointer of five Mueller solution So we can just get rid of that X to make the math a little bit simpler whenever we're doing finding for it. So we have Rick A is equal to our products over reactant and so we're gonna have X squared over Zahra 0.5 and the X Square comes from multiplying the in each to to siege to Seo and then the water concentrations together. And that is equal to the 1.66 times tend to they give him and then all into yourself for X. So X squared is equal to 1.66 times 10 to the negative. Tin times 0.5 all taking the square root We get the value of X to be 2.88 terms. Tintin ing of six. Now having that 2.88 times Tintin egged the six that is going to be our age plus concentration incense that each plus concentration is important to house people tto find her Pete age. We can then just play this in to our equation to find her pH. So all we have to do is our pH is equal to a negative log of 2.88 times 10 to make six, and we get 5.5 floor and our beer interior for people. And then Part C is just asking us what would be the predominant form of classing in solution with a ph of 13. And what would it be in p h of one? So you're wanting to do here is you want to see what John's going to be the most basic form. Which one's going to be the most citic form. And to do that, you can just look at the charges off them as well as your K K B. So for, um Ph of third team the N H, too. Sorry, The H two in CH two minus C o oh is the most basic form of lice in where the H three and minus C H to cede 00 Each is the most acidic for, and the reason is is because it's more able to donate. Those protons were here. We are donated to protons, and so it's with the most basic form.