Problem: Calculate the quantity of energy produced per gram of U-235 (atomic mass = 235.043922 amu) for the neutron-induced fission of U-235 to form Xe-144 (atomic mass = 143.9385 amu) and Sr-90 (atomic mass =89.907738 amu).

🤓 Based on our data, we think this question is relevant for Professor Slayden's class at GMU.

FREE Expert Solution

We’re asked to calculate the quantity of energy produced per gram of U-235  for the neutron-induced fission of U-235 to form Xe-144  and Sr-90.


Recall that Nuclear Fission is the splitting of a heavy nucleus to form two or lighter ones.


Neutron-induced fission is when you shoot a neutron particle at the nucleus and that’s what splits the nucleus into smaller ones. Therefore, a neutron is one of the reactants.


To calculate the energy produced for the reaction per gram of U-235, we’re going to use the following steps:


Step 1: Write a balanced nuclear reaction
Step 2Calculate the mass defect (Δm).

Step 3: Calculate the mass defect (Δm) in kg.
Step 4: Calculate the energy produced (E).


Step 1: Write a balanced nuclear reaction


Reactants: U-235 and neutron

Products: Xe-144  and Sr-90

*The numbers denote the mass number of each element  

Reaction:

U92235+n01Xe54144+Sr3890

*The numbers written below the mass numbers are the atomic numbers of each element and can be found on the periodic table.

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Problem Details

Calculate the quantity of energy produced per gram of U-235 (atomic mass = 235.043922 amu) for the neutron-induced fission of U-235 to form Xe-144 (atomic mass = 143.9385 amu) and Sr-90 (atomic mass =89.907738 amu).

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Mass Defect concept. If you need more Mass Defect practice, you can also practice Mass Defect practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Slayden's class at GMU.