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Question

An element has two isotopes with atomic masses (A1) and (A+3) respectively. The average atomic mass is A. Calculate the mole percentage of the heavier isotope.

A
35%
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B
45.35%
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C
25%
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D
None of these
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Solution

The correct option is B 25%
mass of two isotype are (A1) and (A+3)
Let the % of isotypes which is lighten =x
% of isotopes which is heavier =(100x)

Now
ATQ Average mass of element =A

Average mass of element=ni(%Abundance of the isotope)Ai×Ai100

A=x(A1)100+(100x)(A+3)100

Axx+100A+300Ax3x=100A

4x=300

x=75%

% of heavier isotype =(10075)%

=25%

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