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Cornider ttw follontn Vaph tar I Linetic data lor Ihc dccampotiton reactant A Calculate the (requency tctot [pre-cxponsntbi tuctor) tr (fut rextkyl Arrhonlus Equati...

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Cornider ttw follontn Vaph tar I Linetic data lor Ihc dccampotiton reactant A Calculate the (requency tctot [pre-cxponsntbi tuctor) tr (fut rextkyl Arrhonlus Equation for Decomposition of ReactantAZt0e-03280E-0]290E-03J 0oe-0]3,0e-031 20E-0]Y =-7922* + 18.795 R' = 0.9861 1 1 5510.5Kelvin444.10"3nRaedo'

Cornider ttw follontn Vaph tar I Linetic data lor Ihc dccampotiton reactant A Calculate the (requency tctot [pre-cxponsntbi tuctor) tr (fut rextkyl Arrhonlus Equation for Decomposition of ReactantA Zt0e-03 280E-0] 290E-03 J 0oe-0] 3,0e-03 1 20E-0] Y =-7922* + 18.795 R' = 0.986 1 1 1 55 10.5 Kelvin 444.10" 3n Raedo'



Answers

Rate constants at a series of temperatures were obtained for the decomposition of azomethane \[ \mathrm{CH}_{3} \mathrm{N}_{2} \mathrm{CH}_{3} \rightarrow 2 \mathrm{CH}_{3}^{*}+\mathrm{N}_{2} \] $$\begin{array}{llllll} \hline T / \mathrm{K} & 523 & 541 & 560 & 576 & 593 \\ k / 10^{-6} \mathrm{s}^{-1} & 1.8 & 15 & 60 & 160 & 950 \end{array}$$ Use the data in the table to find the activation energy, $E_{a}$, for the reaction. (Section $9.7)$

They keep answering this question is to convert the concentration of the product into I'm sorry, N 02 At each particular time into the concentration of the reactant and 203 at each particular time. To do this, we need to know the stock geometry of the reaction. One mole in two oh three forms one mole, no two and one mole, you know? So if these are the concentrations that are provided for the product, no two at each particular time, we can calculate from the store geometry of the reaction, assuming that at this time all of the N 203 has become N 02. So the original concentration of N203, because the stock geometry is 1-1 Will be the concentration of co two At time 50 seconds. So at time zero into 03 is 784. As the reaction occurs, it will decrease from 0.784 and it will decrease by the amount of product formed because the stock geometry is 1 to 1. If I make one mole of this, I've decreased this by one mole. So if I make a 10.193 moles per liter, I'm going to decrease this by .193 moles per liter and I'll do that for each of the times, always subtracting off from the original amount, the amount of N. 02 that was created And then at time 50,000 seconds, I of course have zero Now that I know the concentration of the reactant at each time, I can prepare a plot to determine the rate constant from the slope. Um To do this, it tells us that it's the first order reaction. But I'm going to verify that by plotting the concentration of this reactant as a function of time. One over the concentration of the reactant as a function of time and natural log of the reactant as a function of time. If it truly is the first order reaction as suggested in the problem, then the natural log of the concentration as a function of time should give us the best straight line. The best straight line will be determined by the r squared value. The r squared value closest to one gives us the best straight line. So I'll go into excel, I'll take my times and concentrations Calculate one over the concentration, calculate the natural log of the concentration. Plot. Concentration is a function of time. One over the concentration is a function of time. Natural log of the concentration is a function of time, click on one of the data points with a right click at a trend line. And then after adding the trend line have excelled. Give me the equation of the line and the R. Squared value for the line. And it turns out that the best R squared value, which is one, is um for the natural log of the concentration is a function of time, which is indicative of a first order reaction. So I verified that for a first order reaction, when I plot the natural log of the concentration as a function of time, then K is equal to the negative of the slope negative M. So I get a positive three two times 10 to the negative. 41 over second, says the rate constant.

This problem last defying the required to decompose 13 50 kilograms of calcium carbonate. And we're not giving u beats of this reaction, but we can find it by looking up these values in the table and then solving for it. So we know that you do. Every action is equal to you. Some of the seats of the domination of the products nine us, the some of the clippings and formulation of the re acting's. So for this reaction we're gonna have Do you need calcium oxide and seal, too? Mining's the CEO seo three. And we can look up their values for these equities into a bowl and putting them in. You get that? The calcium oxide is going to be negative. Let's learn if I want one Hillary jewels for moral and let's see your Jew is gonna be negative. 3 93.5 in this new CEO. Three. Thanks 12 ghost something and adding, also having those all up, we can get a heated reaction. It's gonna be 1 78.4 technology rules girl. That's per mole of the reaction. But what we're working with is 13 50 kilograms of the C a c 03 So now we can use that to convert the heat required to decompose that we'll start with that 13 50 kilograms. There's broken go convert to grams and from grams you convert moles by using the bowling mass. There's more 100 point 08 grams for more. And now that we have it in moles, we can use the meet that we calculated here to convert to the heat of acquiring. Could you compose that amount of the calcium carbonate and we calculate that we're gonna go? You're going chloral turns 26 hello, jewels for our final answer.

So continuing on with the particle theory, The equation that will need to use here is Ln ah are two divided by r R one he calls Delta sublimation h of all one over t one take. We won over teeth too, Onda. We have the following values that will plug in. So we're plugging in a value here, here, here on Dhere to determine Can't appear Sublimation Well Ah, our tune. Our one are as follows. 19.8 times 10 to the minus seven 12 10 times 10 to the minus 7 g per centimeters per second T one and t two 13 20 15 37! That's all in Calvin s I units, of course. Well, Delta Sublimation and so P is 319.35 times chan to the three Jules Permal

Oakley's the energy. So the 1st 1 follow me now with a muzzle to any servant. And if you check the periodic table, has uproot a number of 13 plus he and the other four that it's going to be right most, most 30. And then, if you check if you tried parodic tea where you find it when you add the masses of the reactant gives us 31. So it means whatever will be in addition to the force was must have a mast member of one. So it's written. And then if you check the atomic number is 15. And we know that Force Force from the periodic table has an atomic number 15. It means the particle has, and that'll make no more cereal. And we know it's only a new trend that has this must number anatomy so we can go up ahead and calculated the energy change. We know that the muscle aluminium was given to us two in a six point lie. Eight one eye 38 and they're all in. It'll make Miles unit. Hey, Liam, full point here is you to save zero plus bows to nine point and I aid 18 d'oh! And now for nutrients are going to use one point zoo there. And we know that for this question would have to find them. As of the reactant, it is by Adam the masses and that will give us. It throws off civility point 98 four on four one and they are all in until make Mars unit and then the mas off the bullet. I will also become sir tea point 98 18 zero. We know that to find the mass difference no doubt too. Some tribes, that of the reactant from the product. So for this one, they will be no this finance that and that'll get you the difference to zero points your zoo soon. Three, four. So the next thing to do is to convert this two kilograms alike I uses and Einstein's energy equation, and that will be that will be multiplying this buy wine point 66 There are 54 times 10 to the bar because you take 27 killer rubs. Oh my one. I'll tell Mick Woz unit and the answer will be three point age night. Kai's turn Time's tend to the PA against the killer. So now that we have this, we can go ahead and plug it into hi stais energy equation. And that will be three point a ni times turn to the pond to get to I mean, who cabled bombs. Times 2.9 nines oven fool I was turned to the part eight. You just can't Quick, silly energy will be three point for night by 10 to the ER Negative 13 jobs. Well, we've been asked to call police for the energy move. Now we know that one more of Riyadh tons contains this number off our terms. He was playing by and the G coagulated and you'll find out eyes up. Yeah, In Joe's bear more will be two 0.1 times can to the bod 10 use more off the reactant. So for those 2nd 1 we have So so those will be the equation No psyllid corn What? So we know sold has his day The way you take the masses and the proton run by They're supposed to be the same on their reactor inside and then a good eyesight. So just as we did initially, if I find them asses and I'm miles off, so plays all in. That'll make Marsh's unit with the plane 91 64 95 and then that of Helio Mean full point 002 State exam three. So you add the masses, the months of the reactor and then the mas of the prudent, and then you find that fronts that is some transom. The put it from the reactor eyes and that is going to give you two point 71 times Turn to the fine, negative 30 kilograms. Mind your visa in Atomic, Marcy. And it's he would have to do that in this history. Coordination. And then you plug It's into ice dies famous and magical question. And that is Queen Tio get you 2.7 seven and I no is 2.9 ice. Soon when I ni seven poor ties turned of eight Mitos purse. We can quick so you Finally, a sum for the energy is going to be too white. 43 Bye. 10 to the pa. Get it, Jules. So find them the energy. Um, all of reality is going to be, what, 243 times? 10 to the plot. Thank you, Jos. Bye. six points times the cartoons. I told you, Holmes. Mole. Yeah, and the final on solve you want going four speaks size 10 to the party, alone in jewels and more. So we'll do Same for the last one. And now the two. For why? Of a, uh, American anew. Well, then I shall make number 95. And this really turned to give us 237 of empathy at make number 93 Klaus from the girls. So you check again the mass number and then the atom making number, or the reactor and should be called to the fruit outside. And we have the mass is being given. And all of these, all of these ein how to make Mars unit. Well, because the masses through three selling point therefore a wife save six and for off wanted feels, eh? So as we did, Elia, you find them as different. And that will be the mass of the reactant, minus that off the product side. And then if you one points years here five times turned to the bar Negative, Toyne. Tonight. Kilograms. So now we go ahead and plug it into ice guys equation And then we have while Siri 05 times 10 to the partner get into in tonight. Cues wasn't like multiplied by the speed of light, which is two points. 99 So for I was turned to the eight. Make those 1st 2nd Oh, good. And you have the energy of bin night. Why is here with me? Times 10 to the Palm. Negative 30. Jules. So we find the energy Permal off the antidote. That will be 9.3 times two to the fund. Negative 13. Jill's times explains there too soon. Time one. So the Plan B uh, more of reality and that it was easier. Why? That'll give you five bye. Point four four times. Turn. The car is moving. Jos. Who more?


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