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Question: Atomic weight of boron is 10.81 and it has two isotopes \(5B^{10}\)and \(5B^{11}\). Then ratio of \(...

Atomic weight of boron is 10.81 and it has two isotopes 5B105B^{10}and 5B115B^{11}. Then ratio of 5B10:5B115B^{10}:_{5}B^{11}in nature would be.

A

19 : 81

B

10 : 11

C

15 : 16

D

81 : 19

Answer

19 : 81

Explanation

Solution

Let the percentage of B10B^{10}atoms be x, then Average atomic weight

=10x+11(100x)100=10.81x=196mu6mu6mu6muNB10NB11=1981= \frac{10x + 11(100 - x)}{100} = 10.81 \Rightarrow x = 19\mspace{6mu}\mspace{6mu}\mspace{6mu}\mspace{6mu}\therefore\frac{N_{B^{10}}}{N_{B^{11}}} = \frac{19}{81}.