5

HQ_O-NNOzHOOzNOHNOzO,NOHOHNOzO,N...

Question

HQ_O-NNOzHOOzNOHNOzO,NOHOHNOzO,N

HQ_ O-N NOz HO OzN OH NOz O,N OH OH NOz O,N



Answers

rhe order (a) $\mathrm{Nll}_{2}>\mathrm{N} 11_{s}>\mathrm{N} \mathrm{H}_{4}$ (b) $\mathrm{NH}_{4}^{-}>\mathrm{NH}_{3}>\mathrm{NH}_{2}^{-}$ (c) $\mathrm{NH}_{3}>\mathrm{NH}_{2}^{-}>\mathrm{NH}_{4}^{-}$ (d) $\mathrm{NII}_{3}>\mathrm{N} \mathrm{H}_{4}^{\prime}>\mathrm{N} \mathbf{H}_{2}$

In this video, we're gonna go through the answer to question number 19 from chapter 9.3 to rush to find the inverse matrix off F S R E O X, which is a matrix as a function of time given here. First, let's recall that inverse off a product major sees a B is equal to the inverse off B plans by the invested a sharing all of the investors exists. So let's think about how we can write this in a slightly different way. So we kind of want toe, not have to worry about all the u to the t You need to mine it easy to tease. So let's just write the coefficients first 14 and then you see that all the first row almost quite by eating Timmy on the second row E to the minus t you know, 30 points to t so we can turns up by e to the t zeroes ever in the second row zero e to the minus t zero and 3rd 1 00 each of the two teams. Okay, let's call this one a on. Let's call, this one will be, Then we can use this formula to find the total invest. Okay, so first up, let's find inverse off, eh? Let's do it in the usual reduction way. So what we got 111 one minus one. See? You want one? Combine that with the identity. 100010 There. Is there a woman? Okay, we're reducing. Let's subtract the first row from the bottom room. That gives us 00 three minus 101 less. Attract the first road from the second road zero minus 21 Uh, then screw reminds 110 leave in the first row is it is one warning zeros era. Okay, so try it times in the bottom row by 1/3. We got 001 minus 1/3 zero 1/3. Get me. Okay, then this new bomb row, we can subtract that from the 1st 2nd most. So from the first room gonna be 10 because I want one. That one minus one is zero. It's gonna be one minus a bird. Sorry. One minus minus. A bird, which is one plus a bird, which is 4/3 zero minus 00 zero minus 1/3 as much bird. Then subtract the new bottom row from the middle road is your, uh, minus two zero minus one minus minus 30 miles. Off course, a bird which is minus two birds one minus zero is just 10 minus. The third is my herd. Okay, so bottom row stays the same. 001 Mines third, zero third. Let's multiply the middle Robot minds heart to get 010 Ah, my hard times minus 2/3 is 1/3 then one times minus half is mine minus half minus. 1/3 is 16 Then let's do the top road minus this new middle road. Then we're gonna get the matrix on at the identity matrix on the left for the 4/3 minus. Good. This one zero minus 1/2. It's okay. Zero minus minus 1/2. It's 1/2 on minus. 1/3 minus suit is minus 36 Which is my heart. Okay, so this is our inverse off the function called a Now it's fine. In burst off. I actually called bay. So be waas. Eat the tea. 00 zero. It's the minus t zero. Is there? Uh, zero. He said to take the inverse of this. This is really easy. Um, because when you got a non zero elements in the leading diagonal on and it's just the reciprocal off those beating darknet values on the rest is all zero. So eat the minus t 000 e to the T they were zero zero. Eat some honesty. Sorry. He's the mind to t expended in verse off X, which is inverse off. Maybe. Which is? They invest a inverse, which is, if the modesty 00 zero e to the T 000 into my studio tea. That's our invested. Be invested a waas one, huh? Minus off that, But it's hot. Six minds of the zero Third. Then when we we'll find them together, it's question, but we got E to the minus. See, huh? Modesty minus ah, the money's team. Bird eats the tea. Mine's 1/2. It's the mind. Yeah, it's the team. Six. It's the team, but Murray get minus. 1/3 eats the minus Tootie zero on the third eats the mind stated, and that's I invest

So we keep in nitrous ness's H and notes you have okay, because the 7.1 time tend to go for so well the Hijo Veum Concentration. Um, light first I in concentration and also natural cycles. I in concentration, you see upon six motor, which I know to you Okay, so we're going to Ah, first Al Sabah on at station You reaction. I showing the square way now and then we have given the case. He goes a simple one. Time tended that that for Okay, we're going to supply stable. So reading about water. So we have serious zero than they were months. Except for as a change. So we're past sexual on the rights because scoring try Nice. So we're super on six. My sakes, and also were takes. Okay, So the K expression will be equals to our high Julian concentration kind, sir. And no two concentration offer the concentration and it's you know, it's you, um, e at the equilibrium. Concentration. Okay, so we have to find out the hard rhodium concentration and no tu minus concentration and also hydroxide concentration. Okay, so that's Ah, take those lumber over here and put you in our equilibrium expression. Okay, so we go to San Peach, they s we know that that you could even expression you goes to the, um, hydrogen concentration time so and no to bias concentration. And also h, I know, too. And they're essentially goes to Aches Square divided by a Sioux 0.6 months minus Zakes support. 60 miles aches, and then the very will be 17 1 Okay, 7.1 time tender that if for Okay, because we want to find out Hi, Julia and Fatou. So that's why we have to follow aches, and then we can foot use, um, the concentration of hydrogen and father hydro cycles and treasure. All right, so let's saw four eggs. So from here, we have a quadratic equation. So your 7.1 time tender left for, um Oh, plight. Um, sewer 0.6. My six. All right, so we're going to have thanks. Um, square on the right, and then we have Ah, 4.26 times. 10 to the letter. Four minus 7.1. Time 10 to that four. Um, you close to X square? Okay. And then we're going to Ah, we are winched that equation Gino Quadratic equation. So we have Ah, 7.1 time tender, therefore takes. And there were minus 4.26 times 10 to the letter four and that we have Cyril. So we're going to solve for the court erratic equation, and we should be able to find that executed b equals to see upon Syria to, um 0220 or, um, minus 0.2 for the off the route for full off route. Okay, so obviously for the mine is actually doesn't make sense. Um, because our previous minus So which means that we have a letter concentration for high juliam and endeavoured to mind. So we're going to take ah, see a 0.2 Okay, so just double check again. We have to see what right answers. Um, and that's why so we're super 02 Okay, so from here, we can know that the concentration off Ah, hi, Jodie. Um, and also the concentration and no tu minus. They are both PICO to assume Point c wrote a super super to motor cell phones there to border. Okay, so how about the hydroxide concentration? Um okay, so for the hydroxide concentration. We know that the concentration of high true them toward the concentration off high trucks. I it must be ecos to Decatur pubic over using water as a solvent so the hydroxide concentration can be fined by using our K W how divided by the concentration of high Julian will be you goes to attend to mass 14. Don't buy a suit for zero to so we're going to take sent it. Yep, 10 to the power that the 14th tee up assume from cedar to and that we should be able to find that the concentration off, um, hydroxide And he goes to 10 5.0 time Tend to the that if we it's on the day of the 13 motor. So it is a rare radio concentration, so it will be used to five time tension that has 30

So in the shape you want to know that Qu a d quadrilateral Nero is controlling into quadrilateral What, so in corresponds to m e will correspond to a our correspondents itself and then oh, well, correspond to oas. Well, so narrow is corresponds tomorrow.

It's really nice to write this back out in the symbols and then use that to help us answer the question. So let's do that from working in a implies beat. Uh, and then in this case, it's not be so. From not be, we could imply no hay. So this is valid because this right over here is the contra positive, and the contra positive is logically equivalent to the conditional get. So in this case, we could destroy it. Therefore, friend is not no.


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