Mole ConceptHard

Question

A mixture contains NaCl and unknown chloride, MCl. When 1 g of this mixture is dissolved in water and excess of AgNO3 solution is added to it, 2.567 g of white precipitate is obtained. In another experiment, 1 g of the same original mixture is heated to 300oC. Some vapours come out which are absorbed in acidified AgNO3 solution by which 1.341 g of white precipitate is formed. The molecular mass of unknown chloride is

Options

A.53.4
B.58.5
C.44.5
D.74.4

Solution

NaCl → AgCl and MCl → AgCl

x mole x mole y mole y mole

∴ (x + y) × 143.5 = 2.567 (1)

From the second expression:

MCl → AgCl

y mole y mole

∴ y × 143.5 = 1.341 (2)

Hence, x =$\frac{1.226}{143.5}$ , y =$\frac{1.341}{143.5}$

Now, x × 58.5 + y × M = 1 ⇒ M = 53.5

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