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Ehem alright I haven't done this in a while but let's start with calculating the number of moles of N2 and Mg we have. Can you do that?
It doesn't tell you which is the excess or limiting, so I guess we'll have to solve for that. You need two ratios to determine this 1. (problem ratio) 8 moles of mg/2 moles of n2 2. (equation ratio) 3 moles of mg/1 mole of n2 problem>equation so numerator is excess, denominator is limited mg=excess n2=limited Now.. Take the problem limited (2) in this case, multiply it by the excess of the equation (excess must be on numerator) (3). That will form 6 moles of Mg3N2. Get the molar mass of Mg3N2 and multiply it by 6.
@Jhannybean Check please.
I've done a few problems like these, all of them confuse the hell out of me, and forces me to look back at my notes everytime... Let me try and see if I did anything wrong...I'm sure I'm close
so then it would be 100.9494 x 6, if i'm right. I wish someone would check for me.
I know for sure that before we multiply the 6 by the molar mass. the 6 represents that the limiting reactant (2 moles of n2) will all be used, while the excess (mg), only 6 moles will be used.
What do you have so far?
Actually, I have a feeling you ARE right. If your equation of 3MG+N2>>MG3N2 And there is actually 6 moles of MG being used, and 2 moles of nitrogen.. Wouldn't that just mean we multiply the whole equation by...2? 2Mg3n2=202g
Why do I feel as if I'm missing something? What happened to the multiplying of 6? I'm all out of coffee so my brain at this point has shut down.
Is there answer choices by any chance?
Hmm, let me look over my regents book real quick and see if I can get any info.
I'm just stuck at that final part. Here's an example in my regents book. How many grams of water can be made according to the equation: 2H2+o2>>2h20? If 100 grams of h2 and 160 grams of o2 are bought together to react? with all that ratio mumbo jumbo.. h2=excess o2=limiting then they did exactly what I did. take the limiting of the problem(5), multiply it by the excess of the equation (2) and the finally the molar mass of h20. they got 180 grams of h20.
So unless, I'm missing something which I'm trying so hard to see (but I can't), my first answer was correct.
Let @Jhannybean check it. It has to be one of the two answers we made.
\[\sf 3 Mg(s) + \color{red}{1}N_2(g) \longrightarrow Mg_3N_2(s)\] How many grams of product are formed from 2.0 mol of N\(_2\) (g) and 8.0 mol of Mg(s)?\[\sf \text{2 mol}~ N_2 \times \frac{\text{3 mol}~Mg}{\text{1 mol}~ N_2} = 3~ mol~ Mg\]\[\sf 8.0~ mol~Mg \times\frac{\text{1 mol}~ N_2}{\text{3 mol}~Mg} =2.6~ mol~ N_2\]\[\therefore \sf N_2 ~\text{is the LR}\]
Now, which one is the limiting reagent?
So you're looking for the grams of product FORMED, this can only be found by the LR, which is \(\sf N_2\). Use the amount of LR to find grams of \(\sf Mg_3N_2\) produced. \[\sf 2.6~mol~N_2 \times \frac{1~mol~ Mg_3N_2}{1~mol~N_2}\times \frac{100.9~g~Mg_3N_2}{1~mol~Mg_3N_2}=262~g~ Mg_3N_2 ~produced \]
There are several ways to find the LR, there is no one direct way.
@Jhannybean Can you briefly look over my work to see what I did wrong?
Awwman..... Haha jk jk one min.
@dtan5457 I think where you might have messed up is there is only 1 mol of N\(_2\) there, or you could say 2 moles of N. But there is NOT 2 moles of N\(_2\) being used. that is absolutely wrong.
\[\sf 2~mol~N_2 \implies 2N_2\]
How many grams of product are formed from 2.0 mol of N2(g) and 8.0 mol of Mg(s)? If you are already given the mole of one reactant, you can easily know how many it's being used by the product by finding which reactant is the limiting regent. To find the limiting reagent. YOU use mole to mole ratio to calculate the moles of the product that is being produced. In this case, our two reactants are N2 (nitrogen gas) and Mg( magnesium solid) \(2.0~ mol ~N2â\Large\frac{1 mol Mg3N2}{1 mol N2}â\Large\frac{100.9 ~g~Mg3N2}{1~mol~Mg3N2}=202 ~g~Mg_3N_2\) \(8.0~mol~Mgâ\Large\frac{1~mol~Mg3N2}{3~mol~Mg}â\Large\frac{100.9~g~Mg3N2}{1~mol~Mg3N2}=270~g~Mg3N2\)
1. (problem ratio) 8 moles of mg/2 moles of n2 2. (equation ratio) 3 moles of mg/1 mole of n2 the problem does say 2 moles of n2. the equation is 1 mole, so I don't think that was my mistake.
mols of reactant----->Mole to mole ratio-----> Molar mass----> mass
I'm pretty sure your solving this differently than I am, but I'm learning everything from a book, and they are doing exactly what I'm doing xD
1. take the moles of each reactant and find how many moles of the reactant are reacting with EACHOTHER. 2.compare the amount of moles that are PRODUCED from the reactants reacting with eachother. 3. The smaller amount of moles will tell you which one is the LR. 4. Use the limiting reactant to find out how many moles..grams...etc are produced of the precipitate.
That's how I was taught to do limiting reactant problems.
Look at what my book says though
they are telling me to do dreadful ratios
Ok let me try this problem
okay, but try to look follow what my book says, (as that is the only way I understand it)
maybe the book is wrong ^_^
Ok, first off I see they are converting to moles \(\checkmark\)
which we don't have to do here for @Itsokay problem, but yeah.
We could, and it's easier to see which one is the LR then
Let me write it out so theres not so many words. Words are annoying in writing out these problems.
\[\sf 2H_2 +O_2 \longrightarrow 2H_2O\] How many grams of \(\sf H_2O\) can be made if 100.0 g \(\sf H_2\) and 160.0 g \(\sf O_2\) are reacted together. \[\sf 100.0 ~g~H_2 \times \frac{2~mol~H_2}{2.02~g~H_2} = 99.0~mol~H_2 \]\[\sf 160.0~g~O_2 \times \frac{1~mol~O_2}{32.00~g~O_2}=5~mol~O_2\]Compare the two and you find that \(\sf O_2\) is the LR
I'm pretty sure what your book shows is how @Jhannybean and @Zale101 did it
I mean this is the method i'm most comfortable with.
are you getting 180 grams as well, though?
Then you take the moles of \(\sf O_2\) and find how many grams were produced. \[\sf 5.000~mol~O_2 \times \frac{2~mol~H_2O}{1~mol~O_2}\times \frac{18.00~g~H_2O}{1~mol~H_2O}= 180.0~g~H_2O \]
I had to fix my number of sig figs, it was 5.000 instead of just 5.
In the original problem, using your method, would it not just be 2 moles x molar mass of product?
as n2 is the limiting reactant
Hey guys. Long chat here, heh. I will post my work.
i mean, you had 2.6 moles @Jhannybean
Yeah, you're right @dtan5457 , but you always have to show the mole to mole ratio. It's how you know you're moving from 1 compound to the other.
I believe the method shown in your book follows my method, so if anything is the problem there, go back to my post and see if I used the correct molar mass. then punch it into your calculator and you'll find the answer.
but why is it 2.6 moles though.
I believe my answer is absolutely correct.
if the question called for 2?
You're being asked about 8.0 moles of magnesium, but only 3 moles are reacting with the 1 mole of nitrogen.
Therefore \(\dfrac{8.0}{3} =2.6\)
@Zale101 did not show which one was the limiting reactant. She went directly from the reactants to the product, but this does not show if any,of the reactant, if at all, was completely used.
According to the question, it is important to take account of the molar ratio of the reactants. Mg to N2 is 3:1. Secondly, considered the given moles, we have to decifer which of reactants is limiting and which one is in excess. If we are given 8 mol of Mg, we expect it to react with (8*1)/3=8/3moles of N2, which is more than the 2 moles of N2 available. Meaning, N2 is the limiting reactant and hence, we work out the resulting mass of the product from this reagent. The molar ratio of N2 to Mg3N2 is 1:1, automatically, if we have 2 mol of N2, we also have 2 mol of Mg3N2. To find the mass of reaction , we use the formula m=n*Mr, where m is the required mass, Mr is the molecular mass and n is the number of moles. Therefore, we get m=2*[(24*3)+(14*2)]=200g of Mg3N2. That is it.
When you get to more advanced chemistry,. you need to know which compounds completely ionize, and which ions are reacted to produce the precipitate, therefore at the end of the reaction, there will be no more of the limiting reactant ions left in your solution (because they will be all used up). Therefore its important to always clearly state which one is the limiting reactant, and which one is the excess.
another different answer xD
our answers are ranging from 200-600 grams
no one is using my method so I still don't see what I did wrong
It all really depends on the number of sig figs you either keep or round up in your work. Thats what differentiates the grams of precipitate produced. None of the answers are wrong, theyre all above 200 g which is good.
I bet my answer is correct. At least I am very confident with it.
yeah but i got 600 grams at first, which is pretty significant. if you want to, look at my attachment and the way my book did it, and see what answer you come up with.
Let's see you solve it your books method, @Itsokay and see what you get. Compare it to our answers. I have not seen your work here so work it out and compare.
@Jhannybean why did you use 2.6 mol of N2 while you only have 2 moles of it available?
Alright, and if you happen to get the exact correct answer by your professor or something, let us know :)
Yay!!
\(\color{blue}{\text{Originally Posted by}}\) @Itsokay She used 2.6 because in the initial reaction it is 3Mg(s), therefore 3 moles of Mg(s). I get it, now. \(\color{blue}{\text{End of Quote}}\) That tells me you understand how I went about solving the equation, therefore you understand how to find the LR.
But 3 mol of Mg are to 1 of N2 And 8 mol of Mg are to 8/3 mol of N2. Conversely, you are provided with only 2 mol of N2, meaning there are 2.6-2=0.6mol of N2 not available, which are out the 2 available.
@Jhannybean
\(\color{blue}{\text{Originally Posted by}}\) @Jhannybean \[\sf 3 Mg(s) + \color{red}{1}N_2(g) \longrightarrow Mg_3N_2(s)\] How many grams of product are formed from 2.0 mol of N\(_2\) (g) and 8.0 mol of Mg(s)?\[\sf \text{2 mol}~ N_2 \times \frac{\text{3 mol}~Mg}{\text{1 mol}~ N_2} = 3~ mol~ Mg\]\[\sf 8.0~ mol~Mg \times\frac{\text{1 mol}~ N_2}{\text{3 mol}~Mg} =2.6~ mol~ N_2\]\[\therefore \sf N_2 ~\text{is the LR}\] \(\color{blue}{\text{End of Quote}}\) You're told you are using 2.0 moles of N\(_2\), that does not mean mean you subtract it by the limiting reactant. Conversely, the 2.0 moles is not a definite amount. The reaction equation tells definitely that you will need only 1 mole of nitrogen reacted with 3 moles of magnesium to produce the compound Magnesium Nitride. Also, the only "available" amount comes from the limiting reactant, which you find from the reaction equation. THAT is what tells you how much of each is reacted, and how much is available.
The 2.0 moles of N\(_2\) and 8.00 moles of Mg are just amounts you are using. they can also account for error.
I have never seen someone work on the same problem for 3 hours straight and still question it. I want to amend your dedication here.
my first answer was 600 grams so I don't think I would know LOL
Sorry,you caught my typo :) it's 6.
\[\sf 2 \cancel{\text{ mol}~ N_2} \times \frac{3\text{ mol}~Mg}{1\cancel{\text{ mol}~ N_2}} = 2(3\text{mol Mg}) = 6~ mol~ Mg\]
It doesn't affect anything, the LR is still N\(_2\). STOP OVER THINKING THIS!!!!! Hahaha
Ok follow these steps, you'll be fine after this: 1. given grams or moles of reactants, convert BOTH reactants to moles. 2. Use the moles of one to find the moles of the other 3. compare how many moles of each reactant is produced 4. use the smaller one as your LR to find how much of the product you are asked to find.
never seen a question go on this long before lol. maybe we broke the record ?
"Jhannybean: @Zale101 did not show which one was the limiting reactant. She went directly from the reactants to the product, but this does not show if any,of the reactant, if at all, was completely used" I didn't show the limiting reactant, but i showed the process of how to solve it. I dont solve everything but leave some for the tutee to do on their own and that is why I asked "What was the limiting reactant?" Itsokay said it was N2 which is correct. I see no point in tutoring and solving everything without doing the process step by step and not getting the tutee to participate. ~That is just my style Another reason was, @Jhannybean tutored and explained everything clearly afterwards in which i then didn't see no point of me to do further explanations ^_^ Thanks @itsokay for participating :)
Great Job everyone!
Oh ok, I see now :) Good work @Zale101 :)
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