Question

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The measured mass of a carbon-14 atom is 14.00032 amu. How much nuclear binding energy is present in one atom of carbon 14? a. 1.69 x 10-11 kJ b. 1.69 x 10-8 kJ c. 8.12 x 1012 kJ d. 8.12 x 10ºkJ

Answer 1

14 8 know that 6 has 6 protons and neutrons and 6 elections, so the theoretical mass is M theo = 6 protons x 1.007 27647 amu/proton + 6 elections x 5.485304107 amu/election + 8 neutrons x 1.00866492 amu/neutsen 14.11626936 amu/atom 14.1163 amu/atom as we Know Mp - 1.0072 76 4 7 amu/proton Mn = 1.00866492 amul neutron me = 5.48530x104 amul election Mi 4c (Given) = 14.00032 amulatom speed of light = 3x108 m/s 23 avogadro's number: = 6.022 xro moet find mass defect ( Mdefect) Now we will Mdefect Mineo Mirc = 14.116300 - 14.00032 = 0130 0.1131 amu amu similas as g/mol X 0.11319 Maese = I mol 1 Kg 1000g 6.022x1023 = 1.877 X10-28 kg 2020-5-23 03 mal

so, binding energy involved in J per atom is: E binding = Moeject (² 2 -28 kg ky) *(3*108 m/s) (1.877* 10 = 1.68.9 x 10 5-1 T/atom = 1.69 810-11 T/atom -8 2 1.69x108 kJ/atom Ars Hence the correct option is 6 The mass of casson of cosbon given in question is not correct correct the right mars is 14.0032 anulatom