Question

If a molecule has an empirical formula of C2H2O and a molecular mass of 84.0 g/mol, what is the molecular formula?

Answer 1

`C_2 H_2 O * 2=C_4 H_4 O_2` is the molecular formula

Step-by-step explanation:

Empirical formula is the simplest form of a Molecular formula.

For example

Molecular formula of glucose is
`C_6 H_(12) O_6`

Its empirical formula is
`C_1 H_2 O_1`

The subscript numbers of the molecular formula is divided by a common number n=6 here.

Another example:

Molecular formula of Octane is
`C_8 H_(18)` and Its empirical formula will be
`C_4 H_9`

Subscripts divided by n=2.

To find n we make use of the formula

`\frac {(molecular mass )}{(empirical formula mass)}=n`

`= \frac {84.0g}{(C_2H_2O mass)}\\\\=\frac {84.0g}{(24+2+16)g}=\frac {84.0g}{42g}=2`

So, we see n=2 here

Empirical formula × n = molecular formula

`C_2 H_2 O * 2=C_4 H_4 O_2` is the molecular formula

(Answer)

Please note:

Molar mass is the mass of 1 mole of the substance and its unit is g/mol .

n is the number of moles by which the empirical formula is multiplied to get the molecular formula of the compound.

Answer 2

=C₄H₄O₂

Step-by-step explanation:

Given the empirical formula of a molecule, the he the quotient of the molecular mas and and the empirical mass=constant.

84.0 g/mol/mass of(C₂H₂O)=constant

=84/(12×2+1×2×16)

=84/42

=2

Therefore, the molecular formula is (C₂H₂O)₂=C₄H₄O₂