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Q1 (a) Two stable isotopes of lithium 6Li3 and7Li3 have respective abundances of 7.5% and 92.5%. These isotopes have masses 6.01512 u and 7.01600 u, respectively. Find the atomic mass of lithium.
(b) Boron has two stable isotopes, 10B5 and 11B5 . Their respective masses are 10.01294 u and 11.00931 u, and the atomic mass of boron is 10.811 u. Find the abundances of 10B5 and 11B5.
Ans: (a) Mass of 6Li3, lithium isotope, m 1 = 6.01512 u
Mass of 7Li3, lithium isotope, m = 7.01600 u
Abundance of 6Li3 , η1 = 7.5%
Abundance of 7Li3 , η2 = 92.5%
The atomic mass of lithium atom is given as:
( b ) Mass of boron isotope 10B5 , m = 10.01294 u
Mass of boron isotope 11B5 , m = 11.00931 u
Abundance of 10B5, η1 = x %
Abundance of 11B5, η2 = (100 − x ) %
Atomic mass of boron, m = 10.811 u The atomic mass of boron atom is given as:
And 100 − x = 80.11%
Hence, the abundance of is 10B5 19.89% and that of 11B5 is 80.11%.
Q2 The three stable isotopes of neon: 20Ne10, 21Ne10 and 22Ne10 have respective abundances of 90.51%, 0.27% and 9.22%. The atomic masses of the three isotopes are 19.99 u, 20.99 u and 21.99 u, respectively. Obtain the average atomic mass of neon.
Ans: Atomic mass of 20Ne10, m1 = 19.99 u
Abundance of 20Ne10, η1 = 90.51%
Atomic mass of 21Ne10, m2 = 20.99 u
Abundance of 21Ne10, η2 = 0.27%
Atomic mass of 22Ne10, m3 = 21.99 u
Abundance of 22Ne10, η3 = 9.22%
The average atomic mass of neon is given as: