Hydrogen possesses three isotopes, but tritium (³H), which is radioactive, occurs as less than 1 in 10¹⁷ atoms in a sample of natural hydrogen. If the value of A_r for hydrogen is 1.008, estimate the percentage abundance of protium, ¹H, and deuterium, ²H (or D) present in a sample of natural hydrogen. Point out any assumptions that you make. Explain why your answers are not the same as those quoted in Appendix 5.

Data from Appendix 5

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Element Actinium Aluminium Americium Antimony Argon Arsenic Astatine Barium Berkelium Beryllium Bismuth Boron Bromine Cadmium Caesium Calcium Califomium Carbon Cerium Chlorine Chromium Symbol Atomic number, Z Ac Al Am Sb Ar As At Ba Bk Be Bi B Br Cd Cs Ca Cf с Ce CI Cr 89 13 95 51 18 33 85 56 97 4 83 5 35 48 55 20 98 6 58 17 24 Mass number of isotope (% abundance) artificial isotopes only; mass number range 224-229 27(100) artificial isotopes only; mass number range 237-245 121(57.21), 123(42.79) 36(0.34), 38(0.06), 40(99.6) 75(100) artificial isotopes only; mass number range 205-211 130(0.11), 132(0.10), 134(2.42), 135(6.59), 136(7.85), 137(11.23), 138(71.70)) artificial isotopes only; mass number range 243-250 9(100) 209(100) 10(19.9), 11(80.1) 79(50.69), 81(49.31) 106(1.25), 108(0.89), 110(12.49), 111(12.80), 112(24.13), 113(12.22), 114(28.73), 116(7.49) 133(100) 40(96.94), 42(0.65), 43(0.13), 44(2.09), 48(0.19) artificial isotopes only; mass number range 246-255 12(98.93), 13(1.07) 136(0.19), 138(0.25), 140(88.45), 142(11.11) 35(75.76), 37(24.24) 50(4.345), 52(83.79), 53(9.50), 54(2.365)