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AndedAssumning no credit, froni comeliance Kuh Foal coal-fired Potti FAAO NO- SO- and eumG plani predict Ihe daily nles of cmissions of particulate s 4u&= conta...

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AndedAssumning no credit, froni comeliance Kuh Foal coal-fired Potti FAAO NO- SO- and eumG plani predict Ihe daily nles of cmissions of particulate s 4u&= contain pnuctng cullue nnd huc LOO0 MW of electrical powet % #n OGrai Ithennal elfieiency hcating valuc 105uu [4u h hoinblcInenlor Fsrimst the daily emissions of particulates 0,18 Adacm Tl bum: tront solid-Waele inciueritor emitling evilal ZOOC 50 tons per day and exhausts @asct ssumc Ficc? and atui. Also aSsumie thnt ratio of 20 kg gases

anded Assumning no credit, froni comeliance Kuh Foal coal-fired Potti FAAO NO- SO- and eumG plani predict Ihe daily nles of cmissions of particulate s 4u&= contain pnuctng cullue nnd huc LOO0 MW of electrical powet % #n OGrai Ithennal elfieiency hcating valuc 105uu [4u h hoinbl cInenlor Fsrimst the daily emissions of particulates 0,18 Adacm Tl bum: tront solid-Waele inciueritor emitling evilal ZOOC 50 tons per day and exhausts @asct ssumc Ficc? and atui. Also aSsumie thnt ratio of 20 kg gases per kg of feed CO; und 8% HLO the gases maye Conua 120/ ' cmilted: (5 points) crlee moleculr #eight ot treated packed exhaust stream from nclor cansisis of 859 air and 15% NH; (by volume) The exhaust figure: Calculate the rate of NH; leaving the vent stack; pounids per day. (5 points) crubber as In the Vent #tack '0 Psia, 75 + NK -eeHo 0.36 NH dry basi: 20 9-Imin ernaut nat Jndmcm 15554 Wale ucatme Calculate the daily SOz emissions from allowable rate points) ISO-ton-per-day sulfuric acid plant that will emit at the maximum



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A gas turbine power plant receives a shipment of hydrocarbon fuel whose composition is uncertain but may be represented by the expression $\mathrm{C}_{x} \mathrm{H}_{y}$. The fuel is burned with excess air. An analysis of the product gas gives the following results on a moisture-free basis: $10.5 \%(\mathrm{v} / \mathrm{v}) \mathrm{CO}_{2}, 5.3 \% \mathrm{O}_{2},$ and $84.2 \% \mathrm{N}_{2}$ (a) Determine the molar ratio of hydrogen to carbon in the fuel ( $r$ ), where $r=y / x$, and the percentage excess air used in the combustion. (b) What is the air-to-fuel ratio ( $m^{3}$ air/kg of fuel) if the air is fed to the power plant at $30^{\circ} \mathrm{C}$ and $98 \mathrm{kPa} ?$ (c) The specific gravity of the fuel (a petroleum product) is $0.85 .$ Estimate the ratio standard cubic feet of gas fed to the turbine per barrel of fuel. (d) What are the issues associated with using oil as a fuel as opposed to natural gas? Consider two factors: (i) the complete composition of typical fuel oils and their resulting emissions, and (ii) the availability and global distribution of the two fuel sources.

And problem number 20. We're looking at a power plant that generates electricity, bah, burning oil and the burning oil licious pollutants. And some of the bulletins are are removed from the gas by scrubbers before the gases relations the atmosphere. And so, um, this table that were given tell us how much balloons are related to the atmosphere and units of tons per day, and that's just recorded the end of each month. And we're told to assume that, uh, each month is just is 30 days, and, uh, it gives us some more information that new scrubbers allowed 0.5 tons a day that be released. And that's really not relevant to the problem here. And the questions that it's asking were given all the data that would need so that point of five tons per days in there just tow, try to throw you off. So part A. We want to know how much and how many tons of pollutants have been released by the end of June, and we want to give up restaurant and a lower estimate. If you want more explanation on upper in the restaurants, um, go back and watch some of the previous videos, and I explain that more clearly. So we've got a Delta X here of 30 days, and from January to June, we're gonna use, um, upper son. So God the well, in the 1st 30 days we used to have, um, everything this is 30 days, 60 days. So by the end of June, let's do it just a moment, Okay? Come back here. I'm gonna retract what I just said about not needing that 0.5 tons per day. We're gonna make an assumption here and say that they were that the scrubber was replaced at the beginning of the year. So we're thinking this is like January would be in the January 30 days in the fair where 60 days into March is 90 days and so on. Well, zero days we had a new scrubber. That'll be 0.5 tons per day, because that's the the release rate of a new scrubber. So for January to June, we have six intervals. I really want to use an upper estimate here. So we're gonna use, um for each one range of 60 days. We want to use the greatest value. So we end up getting from for beginning the heir to the end of January. We have greatest values 0.2 and then by the end of February, the greatest values 0.25 in 0.27 0.34 plus 0.45 plus 0.52. And that will be the upper estimate by the end of June. And if we run that through the cat litter just a second, 74 two times 30 get 60.9 turns by the end of June. Um, for is an oppressed mint assuming that we replaced the the scrubber at the very beginning that month, and that doesn't tell us that explicitly. But provided that it gives us that information working, I think we can safely assume that because it goes, the release rate goes up for every month of the year. So it wasn't replaced partway through the year or anything. So what's just assume that was replaced January 1st, um, so now, for a lower its upper estimate, upper estimate. So for a lower estimate over the same thing, except we'll start with 0.5 Start with, uh, where's the lower value for a train to end up with 0.5 plus port two plus 20.25 plus 0.27 Sorry about that. Sport to seven plus 0.34 Let's 0.45 Yeah, we're in that. The calculator two to 5127 for, uh, we get and then times 30 this 46.8. And that's a lower estimates 46.8 times by the end of June. And so now part B were asked in the best case apartment when will total 125 tons of plate has been released into the atmosphere. So best Case is gonna be a lower something. We want to have his little amount as possible. So the start with 46.8 times at the end of June, and then we'll start here. We've got 46 plate, and then we'll start adding these up with lower some. So we end up with 30 41 08 plus 30 days times these next race we'll end up doing, um, uh, 0.52 plus 0.6 terry plus 0.7. So let's do that and see how far we get where 6.8 plus 30 terms 300.52 So then we get 60 tape worked for, and then we'll do 60.4 plus 30 times. 300.63 81.3. You want 0.3 plus 30 times 300.712 13 one or 2.3 plus 30 times pointed one. There's 1 26.6 and that's more than 1 25 And so we went through September here. So if we were writing this out, we're clearly would have are amount by the end of June and then we'll start adding more for Julia from June. Did Ula so for the month of the locks were talking about the end of the month. Here we get 45 to, plus your 0.63 plus 0.7 plus 0.81 all times 30 plus what we had in a June that's gonna take 126.6 tons, and that's at the very end of September. So right before the end of September is where will I have 100 and 25 tons and that'll be the answer will say almost yes. You know that being exactly was almost the end of September is we'll release 125 times into the atmosphere

Okay, We're gonna work through this problem, um, and be able to draw a graph and find upper sums and lower sums. Um, and so what we have here is that we have a power plant, generates electricity by burning off oil. Um, and this, of course, generates pollutants. And we have, um, the each month, the pollutant release rate in tons per day, given for each month. Um, and we know that we're going to assume a 30 day month. Okay, um and so the first thing we want to do is we want to find the low, um, the upper estimate of the total tons and the lower estimate of the total tons just through just through June. So the first thing we do is kind of graph do a graph. And so here we have the month. So January, February, March, April, May, June. So this is January, February, March, April, May and in June. And then here we have Let's see, 0.1, this is our pollutant release rate in tons per day. And then this is, um, 0.2. Um, and then we have 0.3 to a 0.4 and then I've got up here. I'm way up here so I might have to redo my graph. Let's just redo this a little bit here. Let's go ahead for our sake. Since we're going to be adding to it. Let's do this. 0.2 2.42 point six, 4.8. And then we have one up here. Okay, so in January, we know we release point to February is 0.25 March is 0.27 April is 0.34 which I'm probably way over. May's 0.45 in June is 0.52 So somewhere here. So it kind of looks something like this for at least June, and then we're going to be kind of adding to that. Um and so the first thing we want to do is we want to know the upper estimate for the total tons. Okay. And so the width of our rectangle, So we're the first time we're going to do it is the sense of the increasing function. The upper the upper is going to be where you start on the right side and go left for the upper. So that would be the first rectangle and then the second and then down here to April and there May and then February and then down here to January. Okay, So, um, we know that the width of each of the rectangles is 30 days, and we're going to multiply it by each of the heights. So the upper would be June's height, which is 300.52 Then we're going to add it to the next height, which is 0.45 Then add it to 0.34 then added 2.27 and then 2.25 and that would be the last height right here on February's. And so once I do that, I get a total tons a 54.9 tonnes for my upper estimate. Now we're going to do it again for my lower estimate of my total tents, and my with is still going to be 30 days. But now my lower is actually going to be starting off on the left and we're gonna go right, So that would be the first one second, third, fourth and fifth. So now these green dots are actually my height, so I'm gonna start off at 0.2 in 0.25 in 0.27 0.34 and 0.45 I no longer have that 0.52 in there, and that is 45.3 tons. Okay, so now the last thing we want to do is we want to know. And this is where we're gonna have to kind of add in some other months. I'll probably need a new graph is or we can just do it off. We want to find the best estimate. Oops. Or the best case. Let's do it. Do it this way. The best case, um, when we'll have 125 tons released. So the best case, the worst case would be the upper some because, right, that would be the most we would release. The best case would be the lower some. And so we want to know the month that we get 100 and 25. Okay, so we know that in in, um, by June, I have 45.3 tons. Okay, so now what I need to do is just go ahead. If we do the best case, it's just go ahead and keep adding, So this is in June. So I want to keep adding 30 times that x tons per day to this. And so if I have 45.3 tons, um and that would be my lower show. Then that would be, um I would now do 0.52 times 30 and add that to 45 0.3, and that would be 60.9. So now I want to add it. Add point 0.63 So, basically what I want to do this is through June. And so then what I want to do is take that 45.3 and then add it to 30 times 0.52 and then do 30 times 0.63 because this would give me 60.9. This would give me 79.8, and then I want to do it to the next one, which would be in August, which is 0.7. And that would give me 100 100.8. And the end. We would do whips the next one, which would be 0.81 time 30. Uh huh. So this would be plus 30 times 300.81 And that gives me the 1 25. So this would give me 125.1 tons. Mhm. And that would be my lower some through September. So come about September, and this occurs and September. So come about. September is when I would have, um when I would have 125 point tons. Hope this helps.

Because this problems talking about release of pollutants into the air on it allows us to start with the assumption that months or 30 days, which definitely saves us a little bit of time on the first problem, ask us what's a high end? An upper estimate of the total tonnage and a lower estimate. So an upper estimate would mean that we multiply the value recorded at the last day of each month. If we add all those up and multiplied by 30 Okay, so in the table we have 0.2 0.25 for February, 0.27 for March, 0.34 for April. They're playing for five for May and zero point products for June. Okay, somebody seen. And this is gonna be an upper asked like this. This is a number of measures at the end of the month. Um, case, if we add all this together, this is putting a calculator. It's gonna give us a 2.3 and then times 30 days a month is gonna give a 60.9 tons, Has a high end estimate. Okay. To get a low end estimate, it also tells us that it's a scrubber. Starts at 0.5 And so that's what it would measure on the first day of the month. So now this is gonna be rid of shift everything down one so that will consider each other to be the first day of the month for the following month. Okay, so we have 0.5 plus 0.2 plus 0.25 I'm going to stop at 0.45 for Jim. Okay? So always it is from that 2.3 we're gonna add 0.5 and subtract 2.52 This is gonna give us 1.56 for our low end estimate. In that Times 30 is gonna give us 46.8 tons somewhere in between. Those would be our actual value case. That was party. Um, part B. And just ask, um, if the best case that they were doing a low end estimate approximately when will the total of B 1 25 Okay, so we're working backwards, and I also have 125 tons. We're in divided by 30. That is it. Plus, I'm sorry. Said about about 30 it was 4.16 repeating. And we're trying to figure out which month that would fall in eso way already. Know that low an estimate to June is 1.56 It was gonna keep adding until they get to 4.16 Okay, so we have 1.56 plus 0.52 for July, but it's at two. Point. Oh, aides were not there. Yeah, the next month would be 0.63 for August. There for September. Gonna have 0.7. Not there. And for October, 0.81 And so when we add the end of September, that 0.81 it puts us to 4.22 So towards the end of October, we will be at that value of 4.16 We use the low end estimate to calculate a best case. Okay. Thank you.

So for this problem, we wanna figure out the amount of pollutant released over a period of time. So we first want to note that our pollutant rate is given in tons per day. So if we multiply that by the number of days, well, that's going to give us the tons that is released. Such mere basic setup for figuring out from pollutant release rate to how much pollutant is actually released. So we want an upper estimate first. So for an upper estimate, we want to take the worst case. Um, so looking at the data in the table at the end of January, it's 0.2. We're assuming that air filters get worse over time. That means 0.2 is the worst possible, um, released rate that, uh, occurred in January. Similarly, 0.25 is the worst possible in February. 0.27 is the worst possible in March. So we're just gonna assume that was the release rate for the entire month for our upper estimate. So that's going to give us 30 days times 0.2 for January, plus 30 days times 0.25 for February, plus 30 times 0.27 plus 30 times, 0.34 plus 30 times 0.45 plus 30 times 0.52 It's like of this January through June, Um, and it turns out if you do the calculation that this is going to be 60.9 tons, So that's your upper estimate for January through June. Now we want a lower estimate. So this is going to be the best case for each month. And so we won't assume that at the January 1st, a new filter was put in, and that has a released rate of 0.5 tons per day. So it's gonna be the best case for January in the best case for February will be point to which is the release rate at the last day of January. Um, and then we keep following that all the way through June so you can get, um, 0.5 times 30 for January UM, 0.2 for now. February Times 30 0.25 for March. Times 30 days, 0.27 for April, 0.34 for May and then finally 0.45 for June And if you do that calculation, you end up with 46.8 tons, so that will be your lower estimate. So then part be asked. Okay, assuming the best case scenario approximately, Wen will total 125 tons. Ah, be released into that, Monsieur. So the best cases, our lower estimate. So we'll start from there. We know through June we have 48 6.8 tons. So if we add in July, we're going to get 0.52 times 30. We add in August, we're gonna get 0.63 times 30. We add in September. Um, we get 0.7 times 30. It's very about that. And then if we add in October, um, we're going to get 0.81 time 30 If at June through October, up we'll see that you get 126 0.6 tons, which is just a little bit over the 125 we asked for. That means, um, kind of near the end of October. Well, we'll see that 125 tons have been released


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