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# Need help

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You are given the following reaction equation.

2 Fe(aq) + 3 CuCl2(aq) --> 2 FeCl3(aq)  +   3 Cu(s)

If 0.0125 moles of iron solid reacted, how many moles of copper solid would be produced ?

Put your answer in the form of a.bc x 10-d and input your values for a,b,c and d with no spaces or punctuation.

Mar 22, 2022

#1
+13589
+1

If 0.0125 moles of iron solid reacted, how many 2 moles of copper solid would be produced ?

Hello Guest!

$$2 Fe + 3 CuCl_2 --> 2 FeCl_3 + 3 Cu$$

relative atomic mass

Fe   55.85

Cu   63.54

$$2\cdot55.85g\ Fe\ \widehat =\ 3\cdot 63.54g\ Cu\\ 111.7g\ Fe\ \widehat =\ 190.62g\ Cu\\ 0.0125\ mol:2\ mol=x:190.62g\ Cu\\ x=\frac{190.62\cdot 0.0125}{2}\ g\ Cu\\ x=1.91375g\ Cu\cdot \frac{mol}{63.54g}$$

$$x=1.875\times 10^{-2}mol\ Cu$$

$${\color{blue}1.875\times 10^{-2} moles\ of\ Copper}\ solid\ would\ be\ produced.$$

!

Mar 24, 2022
#2
+2333
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Hello Asinus:

Your solution is correct, but your method is overkill. The question introduces a molar ratio and asks for the number of moles. Molar mass is not needed here, only a basic ratio formula.

Question (restated in active voice): Two (2) moles of Fe (iron) react to produce three (3) moles of Cu (copper). How many moles of copper precipitate, if 0.0125 moles of iron react?

Solution:

$$\text {Molar ratio: 2} \small \mathrm {Fe} : \normalsize {3} \small \mathrm{Cu } = \normalsize \text {0.0125} \small \mathrm{Fe} : \normalsize \text {X} \small \mathrm {Cu } \normalsize \text {; solve for X.}\\ 0.0125 \small \mathrm {Fe} * \normalsize \dfrac{3 \small \mathrm {Cu}} {\normalsize{2} \small \mathrm {Fe}} = 0.01875 \small \mathrm {Cu} \normalsize \rightarrow 1.875 \;x\; 10^{-2}\; \mathrm {moles \; Cu}$$

GA

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GingerAle  Mar 24, 2022
edited by GingerAle  Mar 24, 2022
#3
+13589
+1

Oh wow !

Hello GingerAle!

I made a masterpiece there. Think crookedly and still get the right result! I woke up at 3 a.m. and never fell asleep again. I turned too much to chemistry and not so much to mathematics. Sorry, it was three o'clock in the morning. I recommend the studends your method! Thanks for the simple solution!

!

asinus  Mar 24, 2022