Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 25: Problem 13

Write nuclear equations to represent the formation of an isotope of element 111 with a mass number of 272 by the bombardment of bismuth-209 by nickel-64 nuclei, followed by a succession of five \(\alpha\) -particle emissions.

Short Answer

Expert verified
First, the nuclear equation representing the bombardment of Bismuth-209 by Nickel-64 is \(^{209}_{83}Bi + ^{64}_{28}Ni ⟶ ^{273}_{111}X\). Second, the nuclear equation representing the subsequent five α-particle emissions is \(^{273}_{111}X ⟶ 5(^{4}_{2}He) + ^{253}_{103}X\).

Step by step solution

01

Form the equation for Bismuth bombardment by Nickel

During the bombardment process, the Bismuth atom \(^{209}_{83}Bi\) absorbs the Nickel nucleus \(^{64}_{28}Ni\), resulting in the formation of a heavier isotope. According to conservation of charge and mass, the atomic number and mass number of the resulting isotope should respectively be the sum of the atomic numbers and mass numbers of Bismuth and Nickel. Add the atomic and mass numbers together to get the equation:\(^{209}_{83}Bi + ^{64}_{28}Ni ⟶ ^{273}_{111}X\) Here, \(X\) represents the new isotope formed.
02

Form the equation for the Alpha particle emissions

In an α-particle emission, the nucleus loses 2 protons and 2 neutrons, represented by \(^{4}_{2}He\). To reduce the atomic and mass numbers of the heavy isotope formed in the bombardment process. As the problem states that there are five α-particle emissions, carry out the process five times for the new isotope:\(^{273}_{111}X ⟶ 5(^{4}_{2}He) + ^{253}_{103}X\)Here, \(X\) represents the final isotope formed after the α-particle emissions.

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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 nuclide has a decay constant of \(4.28 \times 10^{-4} \mathrm{h}^{-1}\). If the activity of a sample is \(3.14 \times 10^{5} \mathrm{s}^{-1},\) how many atoms of the nuclide are present in the sample? (a) \(2.64 \times 10^{12} ;\) (b) \(7.34 \times 10^{8}\) (c) \(2.04 \times 10^{5}\) (d) \(4.40 \times 10^{10} ;\) (e) none of these.

Just as the uranium series is called the "4n \(+2^{\prime \prime}\) series, the thorium series can be called the "4n" series and the actinium series the "4n \(+3 "\) series. A \(4 n+1 "\) series has also been established, with \(^{241} \mathrm{Pu}\) as the parent nuclide. To which series does each of the following belong: (a) \(\frac{214}{83} \mathrm{Bi} ;\) (b) \(\frac{216}{84} \mathrm{Po} ;\) (c) \(\frac{215}{85} \mathrm{At}\) (d) \(\frac{235}{92} \mathrm{U} ?\)

The immediate decay product of element 118 is thought to be element \(116 .\) Write a complete nuclear equation for this reaction.

The packing fraction of a nuclide is related to the fraction of the total mass of a nuclide that is converted to nuclear binding energy. It is defined as the fraction \((M-A) / A,\) where \(M\) is the actual nuclidic mass and \(A\) is the mass number. Use data from a handbook (such as the Handbook of Chemistry and Physics, published by the CRC Press) to determine the packing fractions of some representative nuclides. Plot a graph of packing fraction versus mass number, and compare it with Figure \(25-6 .\) Explain the relationship between the two.

Element-120 is located in a region of the neutron versus proton map known as the island of stability. Write a nuclear equation for the generation of element- 120 by bombarding iron isotopes on a plutonium target.
See all solutions

Recommended explanations on Chemistry Textbooks

Making Measurements

Read Explanation

Organic Chemistry

Read Explanation

Chemistry Branches

Read Explanation

Inorganic Chemistry

Read Explanation

Nuclear Chemistry

Read Explanation

Physical Chemistry

Read Explanation
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.

Sign-up for free