Question

Calculate the quantity of energy produced per mole of U-235 (atomic mass = 235.043922 amu) for the neutron-induced fission of U-235 to produce Te-137 (atomic mass = 136.9253 amu) and Zr-97 (atomic mass = 96.910950 amu).

Answer 1

Sol :-

The nuclear reaction needed here is:

₉₂U²³⁵ + ₀n¹ --------------> ₅₂Te¹³⁷ + ₄₀Zr⁹⁷ + 2 ₀n¹

Find change in mass you need to account for the neutrons too (atomic mass of a neutron is 1.0086649156 atm). If you start with 1 mole of U-235 change in mass will be:

(235.043922+1.0086649156)-(136.9253+96.910950+2*1.0086649156) = 0.1990070844 g

Now, Use

E=mc² (do not forget that mass should be in kg):

E = 0.0001990070844x (299,792,458 m/s)² = 17885864770981 = 1.789 x 10¹³ J/mol