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Lithium has only two naturally occurring isotopes. The mass of Li-6 is 6.015 amu and the mass of Li-7 is 7.016 amu. The average atomic mass of lithium is 6.941. (a) Calculate the relative abundances of the two isotopes. (b) What fraction of a sample of lithium atoms actually has a mass of 6.941 amu
Lithium has only two naturally occurring isotopes. The mass of Li-6 is 6.015 amu and the mass of Li-7 is 7.016 amu. The average atomic mass of lithium is 6.941. (a) Calculate the relative abundances of the two isotopes. (b) What fraction of a sample of lithium atoms actually has a mass of 6.941 amu
Answer:a) The relative abundance of Li-6 =0.0749 = 7.49%The relative abundance of Li-7 =1 - 0.0749 = 0.9251 =92.51%b) The fraction of sample of lithium atoms with exact mass of 6.941 amu is 0.Explanation:Formula used to calculate average atomic mass follows:....(1)Let the fractional abundance of Li-6 isotope be 'x'. So, fractional abundance of Li-7 isotope will be '1 - x'For Li-6 isotope:Mass of Li-6 isotope = 6.015 amuFor Li-7 isotope:Mass of Li-7 isotope = 7.016 amuAverage atomic mass of lithium = 6.941 amux= 0.0749a) The relative abundance of Li-6 =0.0749 = 7.49%The relative abundance of Li-7 =1 - 0.0749 = 0.9251 =92.51%b) The fraction of sample of lithium atoms with exact mass of 6.941 amu is 0.This is because 7.49% of the sample has atomic mass of 6.015 amu and 92.51 % of sample has mass of 7.016 amu. Either the sample atom of lithium will have mass of 6.015 amu or 7.016 amu but it will not be having mass of exact 6.941...