Question #159465

If you have 45.6 g NH3, how many grams of F2 are required for a complete reaction? Need to show ALL calculation work.


1
Expert's answer
2021-02-01T03:46:40-0500

he balanced reaction equation is:

2NH3 + 3F2 \rightarrow N2 + 6HF.


In this reaction, 2 moles of ammonia react with 3 moles of fluorine:

n(NH3)2=n(F2)3\frac{n(NH_3)}{2} = \frac{n(F_2)}{3} .


The number of the moles of ammonia is its mass mm divided by its molar mass MM =17.03 g/mol:

n(NH3)=45.617.03=2.678n(NH_3) = \frac{45.6}{17.03} = 2.678 mol.


Then, the number of the moles of F2 needed for the complete reaction is:

n(F2)=3n(NH3)2=4.016n(F_2) = 3\frac{n(NH_3)}{2} = 4.016 mol.


Finally, the mass of the fluorine is its number of the moles times its molar mass 38.00 g/mol:

m(F2)=nM=4.01638.00=152.62m(F_2) = n·M = 4.016·38.00 = 152.62 g.


Answer: if you have 45.6 g NH3, 152.62 grams of F2 are required for a complete reaction.


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