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Question

12.8 g of mixture of MCl (volatile) and KCl (non-volatile) on reaction with excess of aqueous AgNO3 solution gave 28.7 g white precipitate. 12.8 g of same mixture on a heating gave a gas that on passing into AgNO3 solution gave 14.35 g of white precipitate. Hence :

A
ionic mass of M+ is 18 g/mol
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B
mixture has equal mole fraction of MCl and KCl
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C
KCl and MCl when separately treated with AgNO3 solution would give same number of moles of while precipitates
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D
AgCl is water soluble
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Solution

The correct options are
A ionic mass of M+ is 18 g/mol
B mixture has equal mole fraction of MCl and KCl
C KCl and MCl when separately treated with AgNO3 solution would give same number of moles of while precipitates
The reactions are as follows:
MCl(M+35.5)+AgNO3AgCl143.5
KCl74.5+AgNO3AgCl143.5
Let MCl=xg, then KCl=(12.8x)g

AgClduetoMCl=143.5x(M+35.5)

AgClduetoKCl=143.574.5(12.8x)

143.5x(M+35.5)+143.5(12.8x)74.5=28.7

Since MCl is volatile, in second case, AgCl is due to MCl only.

Thus,[143.5xM+35.5]=14.35

14.35+143.5(12.8x)74.5=28.7

1+10(12.8x)74.5=2

(12.8x)=7.45

x=5.35 g

Thus, 143.5×5.35(M+35.5)=14.35
M=18

Thus, ionic mass of M+=18 g/mol. Hence, (a) is true and molar mass of MCl=53.5 g/mol

Thus, moles of MCl=5.3553.5=0.1

Moles of KCl=[12.805.3574.5]=0.1

AgCl is water insoluble.

Hence, mixture contains equal mole fraction of MCl and KCl.

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