A compound consists of 40.00% C, 6.713% H and 53.28% O on a mass basis and has a molar mass of about 180 g/mole. Determine the molecular formula of the compound.

Respuesta :

Answer:

The molecular formula of the compound is [tex]C_6H_{12}O_6[/tex].

Explanation:

Let the molecular formula of the compound is [tex]C_xH_{y}O_z[/tex].in

Molar mass of compound = 180 g/mol

Number of carbon atom = x

Number of hydrogen atom = y

Number of oxygen atom = z

Atomic mass of carbon = 12 g/mol

Atomic mass of hydrogen = 1 g/mol

Atomic mass of oxygen = 16 g/mol

Percentage of element in compound :

[tex]=\frac{\text{number of atoms}\times \text{Atomic mass}}{\text{molar mas of compound}}\times 100[/tex]

Carbon :

[tex]40.00\%\%=\frac{x\times 12g/mol}{180 g/mol}\times 100[/tex]

x = 46

Hydrogen :

[tex]6.713\%=\frac{y\times 1 g/mol}{180 g/mol}\times 100[/tex]

y = 12

Oxygen:

[tex]53.28\%=\frac{z\times 16 g/mol}{180 g/mol}\times 100[/tex]

z = 5.99 ≈ 6

The molecular formula of the compound is [tex]C_6H_{12}O_6[/tex].