Question

Calculate the energy released by the electron-capture decay of 5727Co. Consider only the energy of the nuclei (ignore the energy of the surrounding electrons). The following masses are given:5727Co: 56.936296u5726Fe: 56.935399uExpress your answer in millions of electron volts (1u=931.5MeV/c2) to three significant figures.

Answer 1

Step-by-step explanation:

The mass difference is

Δm = m2 - m1

56.936296 u - 56.935399 u

= 0.000897‬ u

The energy released by the electron-capture decay

E = Δmc²

( 0.000897‬ u) c² ( 931. 5 MeV /c²÷ 1 u)

= 0.8355555 MeV