The masses of a potassium-40 atom, a proton, and a neutron are 39.963999 amu, 1.

Question

The masses of a potassium-40 atom, a proton, and a neutron are 39.963999 amu, 1.007825 amu, and 1.008665 amu, respectively. Calculate to four significant figures

a. the mass defect in amu, and

a.0.003667

b.8.578

The masses of a potassium-40 atom, a proton, and a neutron are 39.963999 amu, 1.007825 amu, and 1.008665 amu, respectively. Calculate to four significant figures the mass defect in amu, and the energy released in MeV/nucleon, in the formation of from the appropriate number of protons and neutrons. 0.003667 8.578

Explanation / Answer

a. 40

K

19

actual mass of potassium = 39.96399

calculated mass of potassium = 19*1.0073+21*1.0087+19*0.0005

= 19.1387 + 21.1827 + 0.0095

= 40.3309

MASS DEFECT=40.3309-39.96399

=0.36691amu

ENERGY released=0.36691*6*10^23*((3*10^8)^2)=3*10^13J=8.580Mev

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