A certain hydrocarbon has a chemical composition of 79.85% of carbon and 20.15% of hydrogen. The molar mass is 60.16 g/mol. What is the molecular formula for this compound

Respuesta :

The molecular formula for the compound is [tex]C_{4} H_{8}[/tex] .

Given:

% of C = 79.85%

% of H = 20.15%

Let the mass of the compound be 100g, then

Mass of C = 70.85 g

Mass of H = 20.15 g

Molar mass = 60.15 g/mol

Moles of Carbon = [tex]\frac{79.85}{12.01 g/mol}[/tex]

                             = [tex]6.64 mol[/tex]

Moles of Hydrogen = [tex]\frac{20.15}{1.00794 g/mol}[/tex]

                                 = [tex]19.99 mol[/tex]

And we divide both sides by the lower quantity;

[tex]C_{\frac{6.64 mol}{6.64 mol} } H_{\frac{19.99 mol}{6.64 mol} }[/tex] ≅ CH₂

And [tex](empirical formula)_{n} = molecular formula[/tex]

60.15 g/mol = n × ( 12.01 + 2 × 1.00794)

n = 4

Therefore, the molecular formula for the compound is [tex]C_{4} H_{8}[/tex] .

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