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Question

A metal M, forms a volatile chloride containing 65.5% chlorine. If the density of the chloride relative to hydrogen is 162.5, find the molecular formula of the chloride. [M = 56, Cl = 35.5]

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Solution

Let the molecular formula of metal chloride be MxCly.
It is given that metal chloride contains 65.5% of chlorine.
Chlorine present in 100 g of metal chloride = 100(35.5y)56x+35.5y=65.5
On rearranging the above equation, we get:
=> x = 0.33y ..........(i)

Vapour density=Molecular mass2Molecular mass=162.5×2=325 g
Molecular mass of metal chloride can also be calculated as:
Molecular mass = 56x + 35.5y = 325 ...........(ii)
Solve equations (i) and (ii) for x and y.
325 = 56 (0.33y) + 35.5y
y = 6
Putting the value of y in equation (ii), we get:
56x + 35.5(6) = 325
x = 2
Hence, the molecular formula of metal chloride is M2Cl6.


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