Empirical Formula Calculations

Combustion Analysis

A 14.1 mg sample of a hydrocarbon was burned in air. The products were 38.8 mg of CO2 and 31.7 mg of water. what is the emppirical formula of the hydrocarbon.
Note I am using mmols (it is just moles but smaller)
38.8mg of CO2 x 1 mmol CO2 =0.882mmol CO2   x 1 mmol C =0.882mmol C
44.0mg CO2 1 mmol CO2
31.7mg H2O x 1 mmol H2O =1.76 mmol H2O    x 2 mmol H = 3.5mmol H
18.0mg H2O 1 mmol H2O
Set up a mole ratio by dividing by the smaller of the two
0.882mmol C  / 0.882mmol = 1 Empirical Formula =CH4    
3.5mmol H  / 0.882mmol = 4      

 

 

A 0.2417g sample of a compound composed of C,H,O,Cl only, is burned in oxygen yielding 0.4964g of CO2 and 0.0846g of H2O. A separate 0.1696g sample of the compound is fused with sodium metal, the products dissolved in water and the chloride quantitatively precipitated with AgNO3 to yield 0.1891g of AgCl. What is the simplest empirical formula for the compound.
Sample  Convert to moles  Moles of Compounds Moles of each element
0.4964g of CO2 x 1 mol CO2 =0.01128mol CO2   x 1 mol C =0.01128mol C
44.0g CO2 1 mol CO2
0.0846g H2O x 1 mol H2O =0.00470mol H2O    x 2 mol H = 0.0094mol H
18.0g H2O 1 mol H2O
0.1891g AgCl x 1 mol AgCl =0.001320molAgCl  x 1 mol Cl =0.001320mol Cl (from 2nd sample)
143.3g AgCl 1 mol AgCl
         
Set up a proportion for the moles of silver 0.001320mols Cl = X mol Cl X=0.00188moles Cl (in first sample)
  0.1696g 0.2417g
         
Find the grams of each element        
0.01128mol C x 12.01 g C =0.1355g C    
1 mol C

Sample MassCHClO

 0.2417g 
0.0094mol H   x 1.00 g H =0.0667 g Cl CHCl mass -0.2117g CHCl  
1 mol H O mass  0.0300g O
0.00188mol Cl  x 35.5 g Cl  =0.0094g H    
1 mol Cl     
  TOTAL 0.2117g CHCl         

Find the moles of O  0.0300g O x

1 mol O =0.00187 mol O    
  16.0g O    
   
Finally find the mole ratio by dividing by the smallest quantity  
0.00187moles Cl / 0.00187moles= 1  
 0.0094mol H / 0.00187moles=5 Empirical Formula  C6H5O2Cl
0.01128mol C / 0.00187moles=6  
0.003899 mol O / 0.00187moles=2