   Chapter 32, Problem 33PE

Chapter
Section
Textbook Problem

(a) Calculate the number of grams of deuterium in an 80.000−L swimming pool, given deuterium is 0.0150% of natural hydrogen.(b) Find the energy released in joules if this deuterium is fused via the reaction 2 H + 2 H → 3 He + n .(c) Could the neutrons be used to create more energy?(d) Discuss the amount of this type of energy in a swimming pool as compared to that in, say, a gallon of gasoline, also taking into consideration that water is far more abundant.

To determine

(a)

The mass of deuterium in a 80,000 L swimming pool.

Explanation

Given:

Volume of water in the swimming pool

V=80,000 L

Percentage of deuterium

0.0150% of normal hydrogen

Calculation:

Express the volume of water in the swimming pool in cm3.

V=80,000 L×1000  cm31 L=8.000×107cm3

Density ρ of water is 1 g/cm3. Calculate the mass of water in the pool.

m=ρV=1.00  g/cm38.000× 107 cm3=8.000×107g

The molecular weight of water is 18.0153 g/mole. One gram molecular weight of water contains Avogadro number NA of molecules.

Calculate the number of water molecules in the pool of water.

N=mNAmolecular weight of water in g= 8.000× 10 7 g 6.023× 10 23 /mol18.0153 g/mol=2.6746×1030

Each water molecule has 2 atoms of hydrogen

To determine

(b)

The energy released in the fusion reaction H2+H2H3e+n

To determine

(c)

If neutrons may be used in the fusion reaction to generate more energy.

To determine

(d)

The differences in types of energy stored in water and in a gallon of gasoline.

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

Find more solutions based on key concepts 