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Problem 94 Hard Difficulty

Calculate the number of grams of iron that contain the same number of atoms as 2.24 g of cobalt.

Answer

2.12 $\mathrm{g} \mathrm{Fe}$

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Video Transcript

Okay, so here we have. Oh, happen. We have soup point to four grams of coal boats, and we need to find the mass of iron that would be inside. That would be the same number of Adams of Cobalt. That's president here. Okay, this is a bit tricky, but let me explain it again. Okay, So we need to find the mass of iron that is within the these amount of Adams here in president of the Cobalt. All right, so what we're supposed to do is find the number of Adams here and then see how much that would weigh in terms of Iron Adams. Okay, I think that makes friends a bit more so yet, so, let's start off with figuring out the number of atoms present in 2.24 grams of Cobalts. Do we know that, um, Adams is equivalent here too? Malls multiplied by of a guard Joe's number. It's Yeah, But then we also know that moulds is equivalent to mass over molar mass, uh, mass over molar mass. So we'll just play that in over there. It's plug it in and then we get the number of atoms is equivalent to Mass over molar Mass. Most whereby have a guard Chris number, Okay, And, yeah, then to find the molar mass, we just take the atomic, massive cobalt that we see on our product table. So, yeah, it's just calculate that separated out mass over Motley Mass. Which is 55 8 0.93 grams per mole. And multiply that by six point. Oh, to chew times 10 23. In units of Promotes, which you can float with teeth, Mel's there, and this basically comes out to Equalling Chu 0.28 times, 10 to the exponents 22. That's the amount of Adams there, and E means times tend to the exponents 22. All right, so now that we have we know the amount of moles or Adams here you will not over those atoms into iron atoms in five massive that they were just going to do this now again, backwards. The exact same thing backwards solving for mass using a different molar mass. So it's just figure out the proper equation for that. So, you know, mass now is equivalent to moles multiplied by multiplied by molar mass And here the molar mass of iron and we know that moles is equivalent to a number of Adam's over over garters number over of a gorgeous number, and we still have more master present. So this question was awarded, but tricky, but it's not too difficult. So yeah, we'll just take the number of atoms, which we've just constipated over there. 2.28 times 10 to the expanded 22 to buy, thereby after Carter's number just too long for me right out and the molar mass of just a single iron. Adam Just 58 point for no boobs. It's 55 0.845 Palin. Just even this months grams per mole. And then we yet uncalculated out a mass of 2.1 two twos. Six cramps. Mm. I ain't so Yeah, I hope that makes sense. Here. We took them be found the amount of Adams here and found the mass. If we have the same number of atoms of iron, Yeah, yeah,

McMaster University
Top Chemistry 101 Educators
Lizabeth T.

Numerade Educator

Nadia L.

Rice University

Morgan S.

University of Kentucky

Jake R.

University of Toronto