Problem 45
Question
There are two isotopes of americium, both with half-lives sufficiently long to allow the handling of large quantities. Americium-241, an alpha emitter, has a half-life of 433 years; it is used in gauging the thickness of materials and in smoke detectors. This isotope is formed from \({ }^{239} \mathrm{Pu}\) by absorption of two neutrons followed by emission of a \(\beta\) particle. Write a balanced equation for this process.
Step-by-Step Solution
Verified Answer
Pu-239 absorbs 2 neutrons and undergoes beta decay to form Am-241.
1Step 1: Identify the Initial Nucleus
The process begins with plutonium-239, denoted as \[ \text{Pu-239:} \quad ^{239}_{94} \text{Pu} \]
2Step 2: Neutron Absorption
Two neutrons are absorbed by plutonium-239. Each neutron adds 1 to the mass number but does not change the atomic number. The resulting isotope is:\[ ^{239+2}_{94} \text{Pu} + 2 \times ^{1}_{0} n \rightarrow \, ^{241}_{94} \text{Pu} \]
3Step 3: Beta Decay
A beta particle \((\beta^-)\) is emitted. This converts a neutron to a proton, increasing the atomic number by 1:\[ ^{241}_{94} \text{Pu} \rightarrow \, ^{241}_{95} \text{Am} + \beta^- \]
4Step 4: Write the Balanced Equation
Combine the neutron absorption and beta decay to write the overall balanced equation:\[ ^{239}_{94} \text{Pu} + 2 \times ^{1}_{0} n \rightarrow \, ^{241}_{95} \text{Am} + \beta^- \]
Key Concepts
Americium-241Beta DecayNeutron AbsorptionIsotopes
Americium-241
Americium-241 (\(^{241}_{95}\text{Am}\)) is a radioactive isotope of the element americium. Known for its alpha particle emission, it has a relatively long half-life of 433 years.
This attribute makes it particularly useful in applications where longevity is an advantage.
One of the most common uses of Americium-241 is in smoke detectors.
This attribute makes it particularly useful in applications where longevity is an advantage.
One of the most common uses of Americium-241 is in smoke detectors.
- It ionizes air particles, allowing the detector to sense smoke through a change in electrical conductivity.
- It's also used industrially to gauge the thickness of materials by measuring how much radiation passes through them.
Beta Decay
Beta decay is one of the radioactive decay processes where a beta particle is emitted from an atomic nucleus. In the case of beta-minus \((\beta^-)\) decay, a neutron is converted into a proton within the nucleus, releasing an electron (the beta particle) and an antineutrino.
This process increases the atomic number of the element.
This process increases the atomic number of the element.
- For instance, when \(^{241}_{94}\text{Pu}\) undergoes beta decay, it transforms into \(^{241}_{95}\text{Am}\)
- The neutron-to-proton conversion results in the formation of a new element with a higher atomic number on the periodic table.
Neutron Absorption
Neutron absorption is a nuclear reaction where an atomic nucleus captures a neutron. This process leads to the formation of an isotope.
When plutonium-239 absorbs two neutrons, it becomes plutonium-241 without changing its element identity, but increases its total mass number.
When plutonium-239 absorbs two neutrons, it becomes plutonium-241 without changing its element identity, but increases its total mass number.
- The neutrons added in this process do not alter the atomic number but increase the mass number, transitioning it to a higher isotope.
- In many nuclear applications, neutron absorption is crucial for isotopic adjustment, which can alter nuclear properties like stability and decay rates.
Isotopes
Isotopes are variants of a particular chemical element that share the same number of protons but have different numbers of neutrons.
They have identical atomic numbers but distinct mass numbers, which differentiate them.
They have identical atomic numbers but distinct mass numbers, which differentiate them.
- Americium-241 and plutonium-239 are examples of isotopes with different neutron counts.
- Each isotope presents unique properties, which can be exploited in various industrial and scientific applications.
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