Balance the following equations for the nuclear fission of 235U. (a)

Verified step by step guidance

1. Identify the reactants and products in the nuclear fission reaction of \(^{235}\text{U}\). Typically, \(^{235}\text{U}\) undergoes fission when it absorbs a neutron, \(^{1}\text{n}\), resulting in two smaller nuclei and additional neutrons.
2. Write the unbalanced nuclear equation: \(^{235}_{92}\text{U} + ^{1}_{0}\text{n} \rightarrow \text{Fission Products} + \text{Neutrons}\).
3. Determine the fission products. Common fission products of \(^{235}\text{U}\) include isotopes like \(^{92}\text{Kr}\) and \(^{141}\text{Ba}\), but these can vary. Assume \(^{92}_{36}\text{Kr}\) and \(^{141}_{56}\text{Ba}\) for this example.
4. Write the equation with assumed fission products: \(^{235}_{92}\text{U} + ^{1}_{0}\text{n} \rightarrow ^{92}_{36}\text{Kr} + ^{141}_{56}\text{Ba} + x\,^{1}_{0}\text{n}\).
5. Balance the equation by ensuring the sum of atomic numbers and mass numbers are equal on both sides. Adjust the number of neutrons, \(x\), to achieve this balance.

Key Concepts

Nuclear Fission

Nuclear fission is a process in which a heavy nucleus, such as uranium-235, splits into two or more lighter nuclei, along with the release of energy and neutrons. This reaction can be initiated by the absorption of a neutron, leading to a chain reaction that is fundamental in nuclear reactors and atomic bombs.

Balancing Nuclear Reactions

Balancing nuclear reactions involves ensuring that the total number of nucleons (protons and neutrons) and the charge are conserved on both sides of the equation. This means that the sum of the atomic numbers and mass numbers of the reactants must equal those of the products, which is crucial for accurately representing the reaction.

Uranium-235

Uranium-235 is a specific isotope of uranium that is fissile, meaning it can sustain a nuclear fission chain reaction. It constitutes about 0.7% of natural uranium and is used as fuel in nuclear reactors and for the production of nuclear weapons due to its ability to release a large amount of energy when undergoing fission.