Some Basic Concepts Of Chemistry Question 158

Question: The sulphate of a metal M contains 9.87% of M. This sulphate is isomorphous with $ ZnSO _4.7H _2O $ . The atomic weight of M is [IIT 1991]

Options:

A) 40.3

B) 36.3

C) 24.3

D) 11.3

Show Answer

Answer:

Correct Answer: C

Solution:

As the given sulphate is isomorphous with $ ZnSO _4.7H _2O $ its formula would be $ MSO _4.7H _2O $ .m is the atomic weight of M, molecular weight of $ MSO _4.7H _2O $ $ =m+32+64+126 $ $ =m+222 $

Hence % of M $ =\frac{m}{m+222}\times 100 $ $ =9.87 $ (given) or $ 100m=9.87m+222\times 9.87 $ or $ 90.13m=222\times 9.87 $

or $ m=\frac{222\times 9.87}{90.13}=24.3 $ .



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