A compound is composed of the elements, carbon, hydrogen, and fluorine only. Combustion of the compound produces CO2, H2O, and HF C?H?F? + O2 ➝ CO2 + H2O + HF Combustion of a 5.000 g sample of the compound produces the products shown in the table below. Product Mass (grams) CO2 8.724 H2O 2.143 HF 2.379         Determine the empirical formula for the compound.

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Chapter4: Stoichiometry
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Problem 4.72PAE: 4.72 The picture shown depicts the species present at the start of a combustion reaction between...
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A compound is composed of the elements, carbon, hydrogen, and fluorine only. Combustion of the compound produces CO2, H2O, and HF

C?H?F? + O2 ➝ CO2 + H2O + HF

Combustion of a 5.000 g sample of the compound produces the products shown in the table below.

Product Mass (grams)
CO2 8.724
H2O 2.143
HF 2.379
   
   



Determine the empirical formula for the compound.

Expert Solution
Step 1

Assuming the empirical formula of compound to be CaHbFc.

Given : mass of CO2 produced = 15.182 g

Mass of H2O produced = 3.625 g

Mass of HF produced = 3.451 g

Molar mass of CO2 = Atomic mass of C + Atomic mass of O X 2 = 12 + 16 X 2 = 44 g/mol

 

Step 2

Since mass = moles X molar mass 

=> 15.182 = moles of CO2 X 44 

=> moles of CO2 = 0.345 mol 

Since each molecule of CO2 is having 1 atom of C.

Hence moles of C in CO2 = moles of CO2 = 0.345 mol

Since in the combustion reaction, all the C in CO2 is coming from CaHbFc.

Hence moles of C in CaHbFc = moles of C in CO2 = 0.345 mol

 

Step 3

Molar mass of HF = Atomic mass of H  + Atomic mass of F = 1 + 19 = 20 g/mol

Since mass = moles X molar mass 

=> 3.451 = moles of HF X 20

=> moles of HF = 0.17255 mol 

Since each molecule of HF is having 1 atom of F and 1 atom of H.

Hence moles of F in HF = moles of HF = 0.17255 mol

And moles of H in HF = moles of HF = 0.17255 mol

Since in the combustion reaction, all the F in HF is coming from CaHbFc.

Hence moles of F in CaHbFc = moles of F in HF = 0.17255 mol

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