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Question: Bromine consists of two isotopes with masses of \( 78.92 \) and \( 80.92 \) amu. What is the abundan...

Bromine consists of two isotopes with masses of 78.9278.92 and 80.9280.92 amu. What is the abundance of these two isotopes?

Explanation

Solution

Bromine is a chemical element with the symbol BrBr and atomic number 3535 . It is the third-lightest halogen, and is a fuming red-brown liquid at room temperature that evaporates readily to form a similarly colored vapor. Elemental bromine is very reactive and thus does not occur free in nature, but in colorless soluble crystalline mineral halide salts, analogous to table salt.

Complete Step By Step Answer:
Bromine has two stable isotopes, 79Br^{79}Br and 81Br^{81}Br . These are its only two natural isotopes, with 79Br^{79}Br making up 51%51\% of natural bromine and 81Br^{81}Br making up the remaining 49%49\% Both have nuclear spin 32\dfrac{3}{2} - and thus may be used for nuclear magnetic resonance, although 81Br^{81}Br is more favorable. The relatively 1:11:1 distribution of the two isotopes in nature is helpful in identification of bromine-containing compounds using mass spectroscopy. Other bromine isotopes are all radioactive, with half-lives too short to occur in nature. Of these, the most important are 80Br^{80}Br ( t12=17.1{t_{\dfrac{1}{2}}} = 17.1 min), 80mBr^{80m}Br ( t12=4.421{t_{\dfrac{1}{2}}} = 4.421 h), and 82Br^{82}Br ( t12=35.28h{t_{\dfrac{1}{2}}} = 35.28h ), which may be produced from the neutron activation of natural bromine. The most stable bromine radioisotope is 77Br^{77}Br ( t12=57.04{t_{\dfrac{1}{2}}} = 57.04 h) 79Br^{79}Br and 81Br^{81}Br , having relative mass abundances of 50.686%50.686\% and 49.314%49.314\% , respectively (Eggenkamp and Coleman, 2000). Variations in isotopic composition are reported as δ81Br{\delta ^{81}}Br (SMOB), where SMOB is standard mean oceanic bromide.

Note:
The primary decay mode of isotopes lighter than 79Br^{79}Br is electron capture to isotopes of selenium; that of isotopes heavier than 81Br^{81}Br is beta decay to isotopes of krypton; and 80Br^{80}Br may decay by either mode to stable 80Sr^{80}Sr or 80Kr^{80}Kr .