Solution Found!

Chemistry / Chemistry 12 / Chapter 2 / Problem 2.106

Chemistry | 12th Edition | ISBN: 9780078021510 | Authors: Raymond Chang; Kenneth Goldsby

Change Question

(a) Assuming nuclei are spherical in shape,

Chapter 2, Problem 2.106

(choose chapter or problem)

Get Unlimited Answers

QUESTION:

(a) Assuming nuclei are spherical in shape, show that its radius r is proportional to the cube root of mass number (A). (b) In general, the radius of a nucleus is given by r 5 r0A1/3, where r0 is a proportionality constant given by 1.2 3 10215 m. Calculate the volume of the 7 3Li nucleus. (c) Given that the radius of a Li atom is 152 pm, calculate the fraction of the atoms volume occupied by the nucleus. Does your result support Rutherfords model of an atom?

Questions & Answers

QUESTION:

(a) Assuming nuclei are spherical in shape, show that its radius r is proportional to the cube root of mass number (A). (b) In general, the radius of a nucleus is given by r 5 r0A1/3, where r0 is a proportionality constant given by 1.2 3 10215 m. Calculate the volume of the 7 3Li nucleus. (c) Given that the radius of a Li atom is 152 pm, calculate the fraction of the atoms volume occupied by the nucleus. Does your result support Rutherfords model of an atom?

ANSWER:

Step 1 of 4

(a)

The volume of the sphere can be calculated by the following formula;

..............(1)

Here,

r = Radius of the nucleus.

Study Tools You Might Need

Chapter: Problem: 20

Chemistry: A Molecular Approach 3
Calculating the Theoretical Yield and the Percent Yield for a Reaction Adipic acid, \(\mathrm{H}_{2} \mathrm{C}_{6} \mathrm{H}_{8} \mathrm{O}_{4}\), is used to produce nylon, The acid is made commercially by a controlled reaction between cyclohexane \(\left(\mathrm{C}_{6} \mathrm{H}_{12}\right)\) an

Chapter: 4 Problem: 88

Introductory Chemistry 5
How many neutrons are in an atom with each atomic number and mass number? (a) Z = 28, A = 59 (b) Z = 92, A = 235 (c) Z = 21, A = 46 (d) Z = 18, A = 42

Chapter: 5 Problem: 27

Fundamentals of Statistics 4
Luxury or Necessity? A random sample of 1003 adult Americans was asked, "Do you pretty much think televisions are a necessity or a luxury you could do without?" Of the 1003 adults surveyed, 521 indicated that televisions are a luxury they could do without. (a) Obtain a point estimate for the popula

Chapter: 6 Problem: 75P

Chemistry 11
The standard enthalpy change \(\Delta H^{\circ}\) for the thermal decomposition of silver nitrate according to the following equation is +78.67 kJ: \(\mathrm{AgNO}_{3}(s) \rightarrow A g N \mathrm{NO}_{2}(s)+\frac{1}{2} \mathrm{O}_{2}(g)\) The standard enthalpy of formation of \(\mathrm{AgNO}

Chapter: 0 Problem: 6

Biology 8
\Vhich statement is true of all atoms that are anions? a. The atom has more electrons than protons. b. The atom has more protons than electrons. c. The atom has fewer protons than does a neutral atom of the same element. d. The atom has more neutrons than protons. e. The net charge is 1-.

Chapter: 4 Problem: 4.133

Chemistry: The Molecular Nature of Matter and Change 5
A chemist mixes solid AgCl, CuCl2, and MgCl2 in enough water to give a final volume of 50.0 mL. N I2(aq) _ S2O3 2_(aq)I_(aq) _ S4O6 2_(aq) IO3 _(aq) _ H_(aq) _ I_(aq)I2(aq) _ H2O(l) C2H4(g) _ HCl(g)C2H5Cl(g) (a) With ions shown as spheres and solvent molecules omitted for clarity, which of the follow

Chapter: 14 Problem: 7

Human Anatomy & Physiology 9
Describe the anatomical relationship of the white and gray rami communicantes to the spinal nerve, and indicate the kind of fibers found in each ramus type.

Chapter: 36 Problem: 2

Biology: Concepts and Applications 10
Chemical digestion of protein begins in the human ______ a. mouth b. stomach c. small intestine d. large intestine

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

×

Register

Sign up for access to all content on our site!

Or login if you already have an account