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Find the energy eqivalent of one atomic ...

Find the energy eqivalent of one atomic mass unit, first in Joules and then in MeV. Using this express the mass defect of `""_8^16O` in `MeV//e^2`.

Text Solution

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`1 u = 1.6605 xx 10^(-27) kg`
To convert it into energy units, we multiply it by `c^2` and find that energy equivalent `= 1.6605 xx 10^(-27) xx (2.9979 xx 10^8)^2 kg m^2//s^2`
`= 1.4924 xx 10^(-10) J`
`= (1.4924 xx 10^(-10))/(1.602 xx 10^(-19)) eV`
`= 0.9315 xx 10^(9) eV`
`= 931.5 MeV`
or, `1 u = 931.5 MeV//c^2`
For `""_(8)^(16)O , " " Delta M = 0.13691 u = 0.13691 xx 931.5 MeV//c^2`
`= 127.5 MeV//c^2`
The energy needed to separate `""_(8)^(16)O` into its constituents is thus `127.5 MeV//c^2`.
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