A certain compound contains 4.0 g of calcium and 7.1 g of chlorine. Its relative molecular mass is 111. Find its empirical and molecular formulas

Respuesta :

Given :

A certain compound contains 4.0 g of calcium and 7.1 g of chlorine.

Its relative molecular mass is 111.

To Find :

Its empirical and molecular formulas.

Solution :

Moles of calcium , [tex]n_1=\dfrac{4}{40}=0.1\ moles[/tex].

Moles of chlorine , [tex]n_2=\dfrac{7.1}{35.45}=0.2\ moles[/tex] .

The ratio calcium and chlorine is 1 : 2 .

So , the empirical formula is [tex]CaCl_2[/tex] .

Now , molecular mass of [tex]CaCl_2[/tex] is :

[tex]M=40+(2\times 35.45)\\\\M=110.9\ g[/tex]

So , [tex]n=\dfrac{111}{110.9} \approx1[/tex]

Therefore , the molecular formula is also [tex]CaCl_2[/tex] .

Hence , this is the required solution .