Question

Estradiol is a female sexual hormone that causes maturation and maintenance of the female reproductive system. Elemental analysis of estradiol gives the following mass percent composition: C 79.37%, H 8.88%, 0 11.75%.The molar mass of estradiol is 272.37 g/mol.Find the molecular formula ofestradio

Answer 1

The molecular formula of estradiol is:
`C_(18)H_(24)O_2`.

Step-by-step explanation:

Molar mass of of estradiol = M= 272.37 g/mol

Let the molecular formula of estradiol be
`C_xH_yO_z`

Percentage of an element in a compound:

`\frac{\text{Number of atoms of element}* \text{Atomic mass of element}}{\text{molecular mass of element}}* 100`

Percentage of carbon in estradiol :

`(x* 12 g/mol)/(272.37 g/mol)* 100=79.37\%`

x = 18.0

Percentage of hydrogen in estradiol :

`(y* 1g/mol)/(272.37 g/mol)* 100=8.88\%`

y = 24.2 ≈ 24

Percentage of oxygen in estradiol :

`(z* 16 g/mol)/(272.37 g/mol)* 100=11.75\%`

z = 2

The molecular formula of estradiol is:
`C_xH_yO_z:C_(18)H_(24)O_2`