To calculate the unified atomic mass unit (u) of 13N using the energy of the reaction given in equation (5.28), you can use the following equation:
u = energy / c^2
where energy is the energy of the reaction in joules, c is the speed of light in meters per second, and u is the unified atomic mass unit in kilograms.
First, you need to convert the energy of the reaction from MeV (Mega electron volts) to joules. You can do this using the conversion factor of 1 MeV = 1.602 x 10^-13 joules. Plugging in the values for the energy of the reaction (-3.00 MeV) and the conversion factor, you get:
Energy in joules = -3.00 MeV * 1.602 x 10^-13 joules/MeV = -4.806 x 10^-13 joules
Next, you need to convert the speed of light from meters per second to joules per second. You can do this using the conversion factor of 1 m/s = 1 j/s. Plugging in the value for the speed of light (299,792,458 m/s) and the conversion factor, you get:
c = 299,792,458 m/s * 1 j/s = 299,792,458 j/s
Now you can plug in the values for energy and c into the equation above to calculate the unified atomic mass unit of 13N:
u = (-4.806 x 10^-13 joules) / (299,792,458 j/s)^2 = 1.50 x 10^-27 kilograms
This is the unified atomic mass unit of 13N in kilograms. You can convert this value to atomic mass units (amu) by dividing it by 1.660 x 10^-27 kilograms/amu:
u in amu = 1.50 x 10^-27 kilograms / (1.660 x 10^-27 kilograms/amu) = 0.906 amu
Therefore, the unified atomic mass unit (u) of 13N is approximately 0.906 amu.