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Question: Two stable isotopes \({}_{3}^{6}Li\) and \({}_{3}^{7}Li\) have respective abundances of\(7.5\%\) and...

Two stable isotopes 36Li{}_{3}^{6}Li and 37Li{}_{3}^{7}Li have respective abundances of7.5%7.5\% and 9.2%9.2\% these isotopes have masses 6.015126.01512 u and 7.016007.01600 u respectively the atomic weight of lithium is.

A

6.941u6.941u

B

3.321u3.321u

C

2.561u2.561u

D

0.621u0.621u

Answer

6.941u6.941u

Explanation

Solution

: Atomic weight = average weight of the isotopes

=6.01512×7.5+7.01600×92.5(7.5+92.5)=45.1134+648.98100=6.941= \frac{6.01512 \times 7.5 + 7.01600 \times 92.5}{(7.5 + 92.5)} = \frac{45.1134 + 648.98}{100} = 6.941u