question archive A sample of mass 2

A sample of mass 2

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A sample of mass 2.00 g from a pungent compound was extracted from skunk spray. Upon analysis, the sample was found to produce 3.39 g of CO2 and 1.63 - of H2O. In addition to C and H, the compound also contains sulphur. The molar mass of the compound was found to be 88.17 g/mol. What is the molecular formula? 

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CxHySz + O2 ---> ACO2 + BH2O

 

Molar mass CO2: 44.01 g/mol

Molar mass H2O: 18.02 g/mol

 

We need to determine the molar ratio so we can balance our equation

 

(3.99 g)/(44.01 g/mol)=0.091 mol

(1.63 g)/(18.02 g/mol)=0.091 mol

(2.00 g)/(88.17 g/mol)=0.023 mol

 

(0.091/0.023)=4

 

So we have a 1:4 ratio of our unknown to product

 

CxHySz + 6O2 ---> 4CO2 + 4H2O (we don't need to worry about O, but I am including it for completeness)

 

So we have 4 C and 8 H to balance

 

4(12)+8(1.01)=56.08 g/mol (this is the mass of just C and H)

 

We subtract this mass from the molar mass given to determine how many S are in the formula

 

88.17-56.08=32.09 (this is the molar mass of sulphur)

 

So the formula is C4H8S