Question

A cholride of a metal contain 65.5% of chlorine . 100ml of vapour of the chloride of metal at stp weights 0.72g. THe molecular formula of the metal chloride is

Answer 1

Answer : The molecular formula of the metal chloride is, $MCl_3$

Explanation :

First we have to calculate the mass of metal chloride.

As, 100 ml vapor of the chloride of metal contains 0.72 g of metal chloride

So, at STP, 22400 ml vapor of the chloride of metal contains $\frac{0.72}{100}\times 22400=161.28g$ of metal chloride

Now we have to calculate the mass of chlorine.

As, 100 g of metal chloride contains 65.5 g of chlorine

So, 161.28 g of metal chloride contains $\frac{65.5}{100}\times 161.28=105.6g$ of chlorine

Now we have to calculate the number of chlorine atoms in the chloride.

Molar mass of chlorine = 35.5 g/mole

$\text{The number of chlorine atoms in the chloride}=\frac{105.6}{35.5}=3$

Therefore, the molecule formula of the metal chloride is, $MCl_3$