/*! 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 22 How are the mass number and atom... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 22

How are the mass number and atomic number of a nuclide related to the number of neutrons and protons in each of its nuclei?

Short Answer

Expert verified
Answer: To determine the number of neutrons (n) and protons (p) in a nuclide's nucleus, you can use the following relationships between mass number (A), atomic number (Z), and the number of neutrons (n) and protons (p): - Protons (p) are equal to the atomic number (Z): p = Z - Neutrons (n) can be calculated as the difference between the mass number (A) and the atomic number (Z): n = A - Z

Step by step solution

01

Define mass number and atomic number

Mass number (A) is the total number of protons and neutrons found in the nucleus of an atom. Atomic number (Z) is the number of protons in the nucleus of an atom.
02

Express mass number in terms of protons and neutrons

As mass number (A) is the total number of protons and neutrons, we can express it as the sum of the number of protons (p) and the number of neutrons (n). \[A = p + n\]
03

Relate atomic number to the number of protons

Since atomic number (Z) is the number of protons in the nucleus of an atom, we can define it as: \[Z = p\]
04

Find the relationship between atomic number, mass number, and the number of neutrons

From steps 2 and 3, we know that: \[A = p + n\] and \[Z = p\] Now, we can substitute the second equation into the first equation to find the relationship between atomic number (Z), mass number (A), and the number of neutrons (n). \[A = Z + n\] So, the number of neutrons in a nucleus can be calculated as the difference between the mass number and the atomic number: \[n = A - Z\] In conclusion, the mass number (A) and atomic number (Z) of a nuclide are related to the number of neutrons (n) and protons (p) in its nucleus by the following equations: \[A = p + n\] \[Z = p\] \[n = A - Z\]

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 91影视!

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

Calculate the molar masses of the following common sweeteners. a. sucrose, \(\mathrm{C}_{12} \mathrm{H}_{22} \mathrm{O}_{11}\) b. saccharin, \(\mathrm{C}_{7} \mathrm{H}_{5} \mathrm{O}_{3} \mathrm{NS}\) c. aspartame, \(\mathrm{C}_{14} \mathrm{H}_{18} \mathrm{N}_{2} \mathrm{O}_{5}\) d. fructose, \(\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}\)

The uranium used for nuclear fuel exists in nature in several minerals. Calculate how many moles of uranium are in 1 mole of the following. a. carnotite, \(\mathrm{K}_{2}\left(\mathrm{UO}_{2}\right)_{2}\left(\mathrm{VO}_{4}\right)_{2}\) b. uranophane, \(\mathrm{CaU}_{2} \mathrm{Si}_{2} \mathrm{O}_{11}\) c. autunite, \(\mathrm{Ca}\left(\mathrm{UO}_{2}\right)_{2}\left(\mathrm{PO}_{4}\right)_{2}\)

Copper in nature is a mixture of \(69.17 \%\) copper- 63 \((62.9296 \text { amul })\) and \(30.83 \%\) copper \(-65(64.9278 \text { amu }) .\) Use this information to calculate the average atomic mass of copper.

Calculate the ratio of neutrons to protons in the following stable atomic nuclei: (a) \(^{4} \mathrm{He} ;\) (b) \(^{23} \mathrm{Na} ;\) (c) \(^{59} \mathrm{Co} ;\) and (d) \(^{197}\) Au. Each of these elements exists naturally as a single isotope. What trend do you observe for the neutronto-proton ratio as \(Z\) increases?

Some newer television sets utilize nanoparticles of cadmium sulfide (CdS) and cadmium selenide (CdSe), called "quantum dots," to produce the colors on the screen. Different-sized quantum dots lead to different colors. a. Calculate the formula masses of \(\mathrm{CdS}\) and \(\mathrm{CdSe}\). b. If a nanoparticle of CdSe contains \(2.7 \times 10^{7}\) atoms of Cd, how many atoms of Se are in the particle? c. If a nanoparticle of CdS weighs \(4.3 \times 10^{-15} \mathrm{g}\), how many grams of Cd and how many grams of S does it contain?
See all solutions

Recommended explanations on Chemistry Textbooks

Kinetics

Read Explanation

Organic Chemistry

Read Explanation

Inorganic Chemistry

Read Explanation

Chemical Reactions

Read Explanation

Making Measurements

Read Explanation

Chemical Analysis

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.