   Chapter 31, Problem 14PE

Chapter
Section
Textbook Problem

(a) Show that if you assume the average nucleus is spherical with a radius r = r 0 A 1 / 3 , and with a mass at A u, then its density is independent at A.(b) Calculate that density in u/fm3 and kg/m3, and compare your results with those found in Example 31.1 for 56Fe.

To determine

(a)

To Show:

That the nuclear density is independent of the mass number A.

Explanation

Given:

The expression for the radius of an average nucleus

r=r0A1/3

Formula used:

Density is defined as mass per unit volume.

ρ=mV

Calculation:

Let the mass of a nucleon be mn . Since the number of nucleons in the nucleus is equal to the mass number A , then the mass of the nucleus is given by

m=Amn

If the nucleus is assumed to be a sphere of radius r, then the volume V of the nucleus is given by,

V=43πr3

Since r=r0A1/3

To determine

(b)

The density of nuclear matter in u/fm3 and kg/m3 and compare the values with that obtained for F56e.

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

The smallest unit of life is the _____. a. atom b. molecule c. cell d. organism

Biology: The Unity and Diversity of Life (MindTap Course List)

How can errors in the cell cycle lead to cancer in humans?

Human Heredity: Principles and Issues (MindTap Course List)

recognize common strong acids and bases.

Chemistry for Engineering Students 