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Problem 123 Medium Difficulty

When 2.004 $\mathrm{g}$ of calcium is heated in pure nitrogen gas, the sample gains 0.4670 $\mathrm{g}$ of nitrogen. Calculate the empirical formula of the calcium nitride formed.

Answer

$\mathrm{Ca}_{3} \mathrm{N}_{2}$

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Top Chemistry 101 Educators
Nadia L.

Rice University

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University of Maryland - University College

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University of Kentucky

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Jacquelin H.

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Video Transcript

visual, but I made That May help, Isn't looking that, But this is explaining what's going on here. So we have a reaction with calcium over here. You didn't see the CIA to Cust. Calcium pellets products and solid calcium heated in nitrogen gets so this reaction will take place and we will form a carbon nitride hung, and we need to find them empirical formula of this compound rate. So we've been given that the mass of the raw cost him is 2.4 grams, and the mass of this nitrogen gas is 0.467 grams. Okay, right. But I'll need to find how much of each Adam is required to make this compound. So we're going to assume that this reaction goes full, fully board and every last gram reacts, and we use all of our mass. So in order to find, you know, um, the ratio of Adams to each other in this compound really need to work with malls and not mass that we'll take our mass divided by mama's. That will give us most. That is a whole lot more. All right, so let's look at her. Got a table now and just do this simple tuition. Okay, so for calcium, it's going to be 2.4 grams. I will divide it by molar mass of calcium, which is 14. Excuse me. 40 grams per mole. Okay. And this basically this equals 0.5 moles. Okay. And after we do the same thing with nitrogen, we take the mass over there divided by mo mess. Nitrogen was like 14 grams more. We get friend that zero points three 0.0 333 three Mohs. Right. So of it. We can use these numbers to create the sub scripts, but we need to work in inter just so you must divide by the smallest amount, which will then give us. You take this. 0.5 I'm just divided by 0.33 The top representing Kelsey, um, in the bottom, representing nitrogen most. We basically get 1.5 cream, 1.5. And we know that every hole number is over one. So it's 1.5 calcium atoms and one night for everyone in nitrogen. So we clearly so I can't work with that so we can just simply multiply by two to reach our nearest interview. Rightly, which will give us three calcium atoms for every two nitrogen atoms in the Rio so we can call this see a three and to

McMaster University
Top Chemistry 101 Educators
Nadia L.

Rice University

Allea C.

University of Maryland - University College

Morgan S.

University of Kentucky

JH
Jacquelin H.

Brown University