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Calcium carbonate undergoes thermal decomposition according to CaCO3(s) CaO(s) + COzlg) What is the work; Wsys , involved in the decomposition of 1 mol of calcium c...

Question

Calcium carbonate undergoes thermal decomposition according to CaCO3(s) CaO(s) + COzlg) What is the work; Wsys , involved in the decomposition of 1 mol of calcium carbonate at 1 bar pressure and 1000 K?+16.6kJ16.6kJ-8.3kJ+8.3kJ

Calcium carbonate undergoes thermal decomposition according to CaCO3(s) CaO(s) + COzlg) What is the work; Wsys , involved in the decomposition of 1 mol of calcium carbonate at 1 bar pressure and 1000 K? +16.6kJ 16.6kJ -8.3kJ +8.3kJ



Answers

Lime, $CaO,$ is produced by heating calcium calcium carbonate, $CaCO_{3} ;$ carbon dioxide is the other product.

(a) Outline the steps necessary to answer the following question: What volume of carbon dioxide at 875 K and 0.966 atm is produced by the decomposition of 1 ton $\left(1.000 \times 10^{3} kg\right)$ of calcium carbonate?
(b) Answer the question

Yeah. Mhm. So We're looking for the heat associated with 21 people, three g of calcium carbonate. We know that one mole of calcium carbonate. Mhm Has 100.01 g. Because that's the Mueller mass. And from the thermo chemical equation 177.9 kg jewels of heat is needed for the reaction of every one mole of calcium carbonate. Mhm. So most cancers are with malls, grams cancels out with grams. And then we'll get the killer jewels for our desired massive calcium carbonate to react 21.3, divided by 100.01 And then times 177.9 is 37.9 killer goals. Yeah.

This question looks like a lot of math, but I don't make sense if you walk through it slowly. So we're gonna start off with your question. C a c 03 equal. See a seal plus C +02 We're trying to see where we're at. Maximilian cc three. How much C. S U two are we using how much is left? So we start off with the value given, which is 2.38 kilograms with CDC to convert from kilograms two grams. So we multiplied by 100 kilograms. The grams cross out. It's no, he appears Next we want to take our value from grams to moles. So if you look up how much one mole is, it is for C A C three. It's 100 points here and Graham. So grams, here, cross up and now we're in Wants to see you see a c 03 But we don't care about the moles of CSU way Want to know about Seo too? We have to convert one wall of CEO. You three equals one more juicy too. It's across this About what? This point. We now have our numbers as moles of C 02 So that's great. But we don't really care about the rules. We want to know the leaders. We know what it will be. A mountain. So you're gonna convert what one more is in a leader with just 24. So the moles of CEO to cross out your leaders of sea or two. So you just have to do all of that map. It seems like a what? Um, just read it out, think through it, and you're going to get 533 leaders of see YouTube as your answer.

Answer for the question. For the reaction. K P is equal to P or two partial pressure off so, too, and calculation for Part A and 25 degrees Celsius. Delta, she note, is equal to Delta. Age, not minus tree. Belka isnot by putting values behave. 177 0.8 Multiply 10 rest with the power tree Okay, minus 298 Multiply 160.5 Oh, Joel Permal is equal to 1.30 Multiply 10 rest of the power tree Joel permanent. The next partial pressure off CO two is equal to KP is equal toe e exponent Delta Gee note, divided by RT, is equal to E explained one 30 Multiply 10 Dressed to the power three. Divided by 8.314 multiply 298 is equal to eat. Exponent minus 52.47 Yeah, is equal to 1.6. Multiply 10 Wrist with the power 23 At T M Standard atmospheric pressure for Pardon me, it temperature 800 degrees. Else's Delta G not is equal to Delta. It's not minus T. Delta isnot by putting values, we have 177.8 Multiply 10 rest with the power several minus 1073 in 21 62.5 Joel Permal is equal to 5.58 Multiply 10 rest with the power three. Joel Permal. So here way Have partial pressure off. Co two is equal to K P is equal toe e exponents. Delta G note. Divided by RT. Is it well to e exponents? 5.58 multiplied and rest of the power three Divided by 8.314 Multiply 1073 is able to rehab minus 0.6 to 5 is equal to 0.535 Standard. It was very pressure.

So this the reaction we're looking at and there's a specific feature of it that makes this possible in a sense that if we remember from our equilibrium unit, you don't include solace in the mass action expression. And so far, value of K here, which is always products of reactions, is really KP specifically is going to be just the pressure of co two and we ignore any effect of the amount of solid because that doesn't have a affect on the mass actually pressure. Um, the reason is, probably stuff would be on the scope of this course. But this is what we have and so we can solve for KP at the various temperatures were given. And that's going to be directly equal to the pressures to and so that's sort of a nice we do here. So the equation we always used to compare Delta G not with Kay is negative is equal to negative. Rt Ln case a really important relationships. And now we can recall from earlier that Delta G not equals doubts. Age minus t Delta s And so this weekend we rescue just replacing the left side Official equal negative. Rt Allen of K. And so we have all of this information. And so now we can plug in everything except for K and pump out today. And so just plug in will have Delta H that's 177 0.8 cule jewels. But we want this in jewels, so we'll do 177,800 joules per mole minus. Now the temperature is 2 98 Calvin, it's 25 degree Celsius. But remember, we always want us in, Calvin, So add to 73 but the ass is 1 60.5 Jules, promote Calvin. I'm gonna stop reading the units here. They will cancel out if you have to make sure you use the right ones. Here are is 8.314 jewels promote Calvin. That's the only common to use to 98. Calvin and then Ellen. Okay, this enough spaces so you can plug this onto a colleague later. It's been tedious. So you have to be careful not to make any mistakes. But out will come. That K is equal to 1.6 times 10 tonight. 23rd atmospheres. No, I actually gets should make a point K in itself does not have units. But then when we remember that K, he was related directly to the pressure of co two then will say that the pressures co two is you go to 1.6 times 10 to 23rd atmospheres. This whole unit thing about caving you Nicolas is, uh result of the fact that they saluted Simplified for the sake of these problems what K really is. Um, So, anyways, this is what our answers the 1st 1 and the second one's gonna skip right to this stuff because this set up is exactly the same words 800 degrees Celsius instead of, uh, 25 degrees Celsius. And so belt th is again 1 77 800 minus 800 plus 2 73 is 1000 73 when we have won, 60.5 equals negative are Are is still the same one. I'm not gonna write in one of 73 Ellen of tape and the K your pump out is 0.535 So the pressure see a hurt me looks awful. The pressure, so too will be 0.535 atmospheres. Final answer


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