/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 4 The radioactive isotope strontiu... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

The radioactive isotope strontium- 90 is a particularly dangerous fission product of \(235 \mathrm{U}\) because it substitutes for calcium in bones. What other direct fission products would accompany it in the neutron-induced fission of 235U? Note: This reaction may release two, three, or four free neutrons.

Short Answer

Expert verified
Possible direct fission products accompanying Strontium-90 in the neutron-induced fission of U-235 could include isotopes like Xenon-144, Krypton, Barium, Cerium etc. The specific isotopes will depend on the atomic and mass numbers fulfilling the conservation laws.

Step by step solution

01

Understand Fission

To begin with, it should be understood that when Uranium-235 undergoes fission, it splits into two smaller nuclei along with release of two, three or four neutrons. The isotopes produced can vary and there are many possibilities.
02

Identify the Byproducts

The isotopes produced in the fission of U-235 will have atomic numbers that add up to 92 (the atomic number of Uranium) and mass numbers that add up to 236 (U-235 plus an extra neutron). For example, one possible fission could give 1 atom of Sr-90 (atomic number 38, mass number 90), 1 atom of Xe-144 (atomic number 54, mass number 144) and 2 neutrons.
03

Enumerate Other Possible Byproducts

\nOther possible combinations of direct fission products could include isotopes such as Krypton (Kr), Barium (Ba), Cerium (Ce), etc. The specific isotopes will depend on the atomic and mass numbers fulfilling the conservation laws.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Radioactive Isotope
Radioactive isotopes, or radioisotopes, are atoms with an unstable nucleus that can release energy by emitting radiation. This process makes them become different elements or isotopes. A key feature of radioisotopes is their half-life, which is the time taken for half of the radioactive atoms in a sample to decay. They are used in various applications, such as medicine, industry, and scientific research. However, some radioisotopes can be hazardous because their radiation can damage living tissues.

In the context of nuclear fission, radioactive isotopes are formed as byproducts. When a heavy nucleus like Uranium-235 undergoes fission, it splits into smaller nuclei, creating different isotopes. These isotopes are often radioactive. - These byproducts are significant because they release radiation over time. - They must be managed carefully due to their potential risks to life and the environment.
Some isotopes, like Strontium-90 and Cesium-137, are of particular concern due to their potency and long-lasting energy release. In this way, understanding radioactive isotopes is vital for appreciating both the utility and risk of nuclear processes.
Strontium-90
Strontium-90 is a notable radioactive isotope formed as a byproduct of nuclear fission, such as that of Uranium-235. It carries hazardous potential because it mimics calcium due to its chemical similarity and can thus be absorbed by living organisms, particularly in bones and teeth. This uptake can lead to serious health issues, as the radioactive decay of Strontium-90 releases beta particles.

Here are some significant points about Strontium-90:
  • The half-life of Strontium-90 is about 28.8 years, which implies that it remains hazardous over an extended period.
  • Because it replaces calcium, it tends to accumulate in bone tissues, leading to increased risks of bone cancer and leukemia.
  • Strontium-90's presence in the environment is primarily due to past nuclear tests and accidents.
Understanding Strontium-90 helps emphasize the need for careful control and disposal of nuclear waste to prevent environmental contamination and ensure safety.
235 Uranium
Uranium-235 is a naturally occurring isotope of uranium, notable for its ability to undergo nuclear fission. This property makes it crucial for both nuclear power generation and nuclear weapons. It represents only a small fraction of the uranium found in nature, specifically about 0.72% of natural uranium. However, this small fraction plays a massive role in nuclear energy.

Important aspects of uranium-235 include:
  • When a Uranium-235 nucleus absorbs a neutron, it becomes unstable and undergoes fission. This results in the splitting of the nucleus into two smaller nuclei, the emission of several neutrons, and the release of a significant amount of energy.
  • The neutrons released can go on to trigger further fission reactions in other Uranium-235 nuclei, creating a chain reaction that is fundamental to nuclear reactors and atomic bombs.
  • Like other fission processes, the fission of Uranium-235 produces a variety of radioactive isotopes, each with its own characteristics and risks.
Uranium-235 thus stands at the heart of discussions on nuclear energy and proliferation, underscoring its importance in both civilian and military contexts.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

A typical nuclear fission power plant produces about \(1.00 \mathrm{GW}\) of electrical power. Assume the plant has an overall efficiency of \(40.0 \%\) and each fission produces \(200 \mathrm{MeV}\) of thermal energy. Calculate the mass of \({ }^{235} \mathrm{U}\) consumed each day.

Find the energy released in the fission reaction $$ \mathrm{n}+{ }_{92}^{2 \mathrm{~s} 5} \mathrm{U} \rightarrow{ }_{10}^{98} \mathrm{Zr}+{ }_{52}^{135} \mathrm{Te}+3 \mathrm{n} $$ The atomic masses of the fission products are \(97.9120 \mathrm{u}\) for \({ }_{10}^{98} Z r\) and \(134.9087\) u for \({ }^{135} T e\).

A \(\Sigma^{0}\) particle traveling through matter strikes a proton and a \(\Sigma^{+}\), and a gamma ray, as well as a third particle, emerges. Use the quark model of each to determine the identity of the third particle.

According to one estimate, there are \(4.4 \times 10^{6}\) metric tons of world uranium reserves extractable at \(\$ 130 / \mathrm{kg}\) or less. About \(0.7 \%\) of naturally occurring uranium is the fissionable isotope \({ }^{235} \mathrm{U}\). (a) Calculate the mass of \({ }^{235} \mathrm{U}\) in this reserve in grams. (b) Find the number of moles of \({ }^{235} \mathrm{U}\) and convert to a number of atoms. (c) Assuming \(208 \mathrm{MeV}\) is obtained from each reaction and all this energy is captured, calculate the total energy that can be extracted from the reserve in joules. (d) Assuming world power consumption to be constant at \(1.5 \times 10^{13} \mathrm{~J} / \mathrm{s}\), how many years could the uranium reserves provide for all the world's energy needs? (e) What conclusion can be drawn?

What is the electrical charge of the baryons with the quark compositions (a) uud and (b) udd? What are these baryons called?

See all solutions

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.