An organic compound was analyzed and found to be 55.8% C, 7.03% H, and 37.2% O. When vaporized, a 1.500 g sample
occupied 530 mL at 100°C and 740 mm Hg. What are the empirical and molecular formulas of the compound?

Respuesta :

Answer:

Empirical formula is C₂H₃O, and molecular formula is C₄H₆O₂

Explanation:

W(C) = 55,8%

W(H) = 7,03%

W(O) = 37,2%

m(tot.) = 1,5 g

First, you need to calculate mass of every element:

m(x) = m(tot.) × W(x), and you get:

m(C) = 0,837 g

m(H) = 0,105 g

m(O) = 0,558 g.

Next step is to calculate moles of every element end compare them.

n(x) = m(x)/ Ar(x)

n(C) = 0,07

n(H) = 0,104

n(O) = 0,035.

n(C) : n(H) : n(O) = 2 : 3 : 1, so empirical formula is:

C₂H₃O

Number of each atom in molecular formula (a) is calculated by

a = N(x) = (W(x) × Mr(compound)) / Ar(x)                 (a)

Mr(compound) is calculated from the ideal gas law:

p × V = n × R ×T

p × V = m/Mr × R ×T

Mr =(R × T × m)/ p × V

Mr = 89 g mole⁻¹

Now, we go back in equation  a and calculate number of each atom in molecular formula (a):

a(N(C)) = 4

b(N(H)) = 6

c(N(O)) = 2

So, molecular formula is C₄H₆O₂