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Problem 112

A particular coal contains 2.5$\%$ sulfur by mass. When this coal is burned at a power plant, the sulfur is converted into sulfur dioxide gas, which is a pollutant. To reduce sulfur dioxide emissions, calcium oxide (lime) is used. The sulfur dioxide reacts with calcium oxide to form solid calcium sulfite. (a) Write the balanced chemical equation for the reaction. (b) If the coal is burned in a power plant that uses 2000.0 tons of coal per day, what mass of calcium oxide is required daily to eliminate the sulfur dioxide? (c) How many grams of calcium sulfite does this power plant produce daily?

Answer

(a) See Solution

(b) 187.4 tons

(c) See Solution

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## Discussion

## Video Transcript

So here first what happens is solid self are re actually oxygen gas to produce sulfur dioxide gas. Yeah, And then these sulfur dioxide gas now re actually solid calcium oxide to produce solid calcium Self it holmes. So in first part of this, questions were asked to balance dis equation. So from here, you can see that we'LL check if the question is already parents or not. So we have one self are on each side, then we have two plus on three oxygen Andrea consign and three axes and unproductive sign. And then we have one kills him on his side. That means this is our balance to question would only tow balance it again. Now, in the second bird of this question, we are asked to find out, um, the mass ofthe calcium oxide that will be required Remove all the sulphur dioxide. So here we're given that the coal which is produced his two thousand tons and two point five percent of this corporate posed they're self fart by mass. What we have to do, we have to first find out the mass of this Colin Grams. Then that, and then super five percent off the Mass will be the master of self far, which has been produced. From there, we will find the massive self will find a number of malls off cell phone which is being produced. From there we can find out the number of most ofthe sulfur dioxide which is being produced. And then from there you can find the number of most ofthe calcium oxide, which will be required to get rid off that number of mall of sulfur dioxide. And from there we can find the mass ofthe calcium oxide. We shall be required. So first, we'LL find the mass ofthe Colin Graham. So the mass ofthe Cole we're given is two thousand dawns and one gone means nine one hundred seven point. I wanted to fight G mar on tone so we can just multiply this number of calls by this fellow to get Massing Kitty. We should give us a value off one point eight one time stated about six can team corn and then we can convert this toe crumb by this Do fighting this one thousand one thousand to get the value in Graham, which we want point eight one times ten to the power or just, you know, we'LL have to multiply this by one thousand to get of heroin. Graham it we won't mind eight months time standard of our nine Graham call. So this is the mass ofthe coal in grams and now they're us were said that two point five percent off thes fellow or this mass his cell phone which is being produced. So now we can find out the massive self Far from here, Samantha's cell far will be two point five percent or two point five hundred times the mass. Of course, which is one point eight one times ten to the bar nine graham and it will give us a value off for one five times tender dipper, seven gram sulfur. So this is the mass of sulphur which is being produced each day in two thousand tons off Cole. Now, from here we will find a number of malls off cell phone which is being produced. That is simply this mess over the molar mass of sulfur three, four point five times ten to the power seven gram over the monuments of cell phone, which is thirty two point is serious. Six, five cramp our mon and tell us of Hello off one point four one times attentive or six mall. So this is the number ofthe mall off cell far which is being produced each day. Now, if we look at the reaction in questions here, you can see that each mall off or one molecule is self. Our produce one one molecule of sulphur dioxide. That means one mall of salvar a produce one more of sulphur dioxide. And again, we need one molecule of calcium oxide to get rid off one molecule of sulfur dioxide. That means we'll need, um, the same number ofthe mall of calcium oxide to get it off. A certain number of model suffered outside. That means ultimately the number ofthe malls off self far is equal to the number ofthe mall of sulfur dioxide are identical to a number of moral Salvador sign which is eventually ultimately equal toe are identical to the number of mall of calcium oxide. That means the number of full of self far keeps us the number of full of calcium oxide we require to get rid off that much amount of sulphur dioxide or sell farm so we can write this number of mall as the number of full of calcium oxide required, so you can drag number of matloff. Calcium oxide has one point for one times ten to the first six more now. From here we can find the mass of calcium oxide, which you need so the mass of calcium oxide will be simply the number of mall of calcium oxide times its molar mass, which is one occupying one set one toe sirah planned one seven Grandpa Ramon and night. The monuments of calcium oxide is fifty six point eight gram per mall, and this will give us a value off seven point nine times. Tend to the bar. Seven Graham are We can write it in kids he which is, I feel just divide this By one thousand we get the valiant KGB, which will be served for nine times and with war for kg. So this is the the amount of calcium oxide which is required Ah, like radios, the amount of sulphur which is being produced. Everything from that two thousand tons. Of course. Now the last part of this problem, we have to find out the measure. The mass of calcium sulfate, which is being produced every day. So from here again, you can see that one molecule of calcium oxide gives us one molecule of calcium sulphate killed himself. Fight. That means the number off more off calcium oxide is identical to the number of moles off calcium Sal, fight. Since one mall of these will give us one wall of thiss that means any number of mall of calcium oxide. Wilkie was the same number one of calcium sulfate. That means this number off more is also the number of more for the calcium self. I'd being produced so you can write these as in the number of mall of calcium sulphate. Also one point four one times ten to the bar. Six more now. From here we can find a massive kills himself fight which is being produced, which will be no. This number ofthe mall of calcium sell fine times. The molar mass of calls himself fine. Which is one twenty point one seven. Grandpa Ramon. I need to relieve us of l. A off one point seven zero times. Tend to the bar eight gram calcium, sir. Fight. So this is the massive calcium self fight which will be produced every day from that two thousand tons. Of course,

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