   Chapter 10, Problem 85CP ### University Physics Volume 3

17th Edition
William Moebs + 1 other
ISBN: 9781938168185

#### Solutions ### University Physics Volume 3

17th Edition
William Moebs + 1 other
ISBN: 9781938168185
Textbook Problem

# The Galileo space probe was launched on its long journey past Venus and Earth in 1989, with an ultimate goal of Jupiter. Its power source is 11.0 kg of 238Pu, a by-product of nuclear weapons plutonium production. Electrical energy is generated thermoelectrically from the heat produced when the 5.59-MeV a panicles emitted in each decay crash to a halt inside the plutonium and its shielding. The half-life of 238Pu is 87.7 years. What was the original activity of the 238Pu in becquerels? What power was emitted in kilowatts? What power was emitted 12.0 y after launch? You may neglect any extra energy from daughter nuclides and any losses from escaping γ rays.

To determine

(a)

The original activity of the 238pu in becquerels.

Explanation

Given:

The mass of 238pu is, m=11kg.

The half time of 238pu is t1/2=87.7y.

Formula used:

The number of nuclei is given by,

N=mMNA

Here, the number of nuclei is N, the molar mass is M and the Avogadro number is NA.

The original activity of the substance is given by,

R=(0.693)Nt1/2

Here, the original activity of the substance is R and the half time of the substance is t1/2.

Calculation:

Here, Avogadro number is, NA=6.022×1023mol-1 and the molar mass is, M=238.05g/mol.

The number of nuclei is calculated as,

N=( 11kg)( 6.022× 10 23 mol -1 )238.05g/mol=(11kg)( 10 3 g 1kg)( mol 238.05g)( 6.022× 10 23 mol)=66

To determine

(b)

The power emitted in kilowatts.

To determine

(c)

The power emitted after 12y of lunch.

### 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

#### How did the Ptolemaic model explain retrograde motion?

Horizons: Exploring the Universe (MindTap Course List)

#### Most water-soluble vitamins are not stored in tissues to any great extent. T F

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

#### How are diatoms similar to and different from dinoflagellates?

Oceanography: An Invitation To Marine Science, Loose-leaf Versin 