Q.

Naturally occurring Boron consists of two isotopes, whose atomic weights are 10.01 and 11.01. The atomic weight of natural boron is 10.81. The % of each isotope in natural boron is: 

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a

% isotope of mass of 10.01 = 50, % of isotope of mass 11.01 = 50

b

None of these.

c

% of isotope of mass 10.01 = 30, % of isotope of mass 11.01 = 70

d

% of isotope of mass 10.01 = 20, % of isotope of mass 11.01 = 80

answer is B.

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Detailed Solution

Relative abundance of two isotopes of an element is the presence of isotope relative to each other. It is represented in relative percentage, let 'A' is the atomic mass of an element, then;

A×100=m1p1+m2p2

We have given;

A=10.81 g

m1=10.01 g

m2=11.01 g

We need to find p1 and p2. Let p1 be 'x' then p2 will be (100-x).

10.81×100=10.01x+(11.01×100)-11.01x

x=1101-1081=20%

100-x=80%

The relative abundance of boron isotope with 10.01 g is 20% and that of 11.01 g isotope is 80%.

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