Chapter 21: Problem 64
Element 107 , now named bohrium, was synthesized by German researchers by colliding bismuth- 209 with chromium-54 to form a bohrium isotope and one neutron. Write the nuclear equation to represent this reaction.
Short Answer
Expert verified
The nuclear equation for the synthesis of bohrium is \[\begin{equation}^{209}_{83}Bi + ^{54}_{24}Cr \rightarrow ^{262}_{107}Bh + ^{1}_{0}nd{equation}
Step by step solution
01
Identify the Reactants
Identify the reactants in the nuclear reaction. Bismuth-209 (Bi) and chromium-54 (Cr) are the reactants that collide to form a new element.
02
Identify the Product and its Isotopes
Identify the product, which is an isotope of bohrium (element 107), and the other product, which is a neutron.
03
Write the Nuclear Equation
Write down the nuclear equation showing the reactants on the left-hand side and the products on the right-hand side. Balance the equation by ensuring the sum of atomic numbers (protons) and mass numbers (nucleons) are equal on both sides.
04
Balance the Atomic Numbers
Balance the atomic numbers (Z) by ensuring that the sum of the atomic numbers of the reactants equals the sum of atomic numbers of the products.
05
Balance the Mass Numbers
Balance the mass numbers (A) by ensuring the sum of the mass numbers of the reactants equals the sum of the mass numbers of the products.
06
Determine the Isotope of Bohrium Formed
Determine the mass number of the bohrium isotope formed using the balanced nuclear equation.
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Chemical Reaction
At the heart of chemistry is the concept of a chemical reaction, which involves the transformation of one or more substances into new substances. In the context of nuclear chemistry, these reactions involve changes in the composition of nuclei and often lead to the formation of new elements. Unlike typical chemical reactions that involve the rearrangement of electrons, nuclear reactions entail the changes in the protons and neutrons, which are collectively known as nucleons, within an atom's nucleus.
For instance, the synthesis of bohrium, element 107, involved a nuclear reaction where bismuth-209 and chromium-54 were collided at high speeds. The collision led to the fusion of their nuclei, producing a new element and releasing a neutron. Understanding such nuclear reactions is crucial for both theoretical knowledge and practical applications such as energy production and the creation of new materials.
For instance, the synthesis of bohrium, element 107, involved a nuclear reaction where bismuth-209 and chromium-54 were collided at high speeds. The collision led to the fusion of their nuclei, producing a new element and releasing a neutron. Understanding such nuclear reactions is crucial for both theoretical knowledge and practical applications such as energy production and the creation of new materials.
Atomic Number Balancing
In the realm of nuclear reactions, the principle of atomic number balancing is paramount. The atomic number, denoted by Z, represents the total number of protons in an atom's nucleus and defines the identity of an element. During a nuclear reaction, the sum of the atomic numbers of the reactants must be equal to the sum of the atomic numbers of the products. This is a conservation law akin to the conservation of charge.
For the synthesis of bohrium, atomic number balancing ensures that the atomic numbers on both sides of the nuclear equation are equal. For instance, bismuth has an atomic number of 83 and chromium has an atomic number of 24. When these two nuclei fuse, they must produce a nucleus with an atomic number of 107 (the atomic number of bohrium) plus the atomic number of the neutron, which is zero since it carries no charge.
For the synthesis of bohrium, atomic number balancing ensures that the atomic numbers on both sides of the nuclear equation are equal. For instance, bismuth has an atomic number of 83 and chromium has an atomic number of 24. When these two nuclei fuse, they must produce a nucleus with an atomic number of 107 (the atomic number of bohrium) plus the atomic number of the neutron, which is zero since it carries no charge.
Mass Number Balancing
Mass number balancing is equally important in writing nuclear equations. Here, the mass number (A) refers to the total number of protons and neutrons, the constituents of the nucleus. In nuclear reactions, the sum of mass numbers of the reactants must equal the sum of the mass numbers of the products, embodying the principle of mass conservation.
In the synthesis of bohrium, the mass number of bismuth-209 and chromium-54 must add up to equal the mass number of the resulting bohrium isotope plus the mass of the liberated neutron. This balancing act is crucial for correctly writing the nuclear equation, as it allows one to determine the specific isotope of bohrium that was formed in the reaction.
In the synthesis of bohrium, the mass number of bismuth-209 and chromium-54 must add up to equal the mass number of the resulting bohrium isotope plus the mass of the liberated neutron. This balancing act is crucial for correctly writing the nuclear equation, as it allows one to determine the specific isotope of bohrium that was formed in the reaction.
Synthesis of Elements
The synthesis of elements is a sophisticated process that frequently takes place in high-energy environments such as particle accelerators or stellar cores. In laboratories, scientists replicate these conditions to create elements that are not readily found in nature. The synthesis involves colliding nuclei with sufficient energy to overcome the electrostatic repulsion between positively charged protons.
Bismuth-209 and chromium-54, for example, when collided, can fuse to form a nuclear reaction that results in a previously unobserved isotope of bohrium. The creation of such synthetic elements expands our understanding of the periodic table and the forces that bind the atomic nucleus together. This process has also led to the discovery of many transuranic elements, which are elements beyond uranium in the periodic table.
Bismuth-209 and chromium-54, for example, when collided, can fuse to form a nuclear reaction that results in a previously unobserved isotope of bohrium. The creation of such synthetic elements expands our understanding of the periodic table and the forces that bind the atomic nucleus together. This process has also led to the discovery of many transuranic elements, which are elements beyond uranium in the periodic table.
Neutron Production
Neutron production is commonly observed in nuclear reactions, particularly in the synthesis of heavy elements. Neutrons, being electrically neutral, play a critical role in stabilizing nuclei as they do not repel each other or protons via electric force.
The production of a neutron in the synthesis of bohrium is a byproduct of the collision between bismuth-209 and chromium-54. This lone neutron serves as a key signature of the nuclear reaction and is accounted for in the balancing of both atomic and mass numbers in the nuclear equation. Additionally, the production of neutrons can be instrumental in further nuclear reactions, such as the initiation of a chain reaction in nuclear reactors.
The production of a neutron in the synthesis of bohrium is a byproduct of the collision between bismuth-209 and chromium-54. This lone neutron serves as a key signature of the nuclear reaction and is accounted for in the balancing of both atomic and mass numbers in the nuclear equation. Additionally, the production of neutrons can be instrumental in further nuclear reactions, such as the initiation of a chain reaction in nuclear reactors.