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College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000

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BuyFindarrow_forward

College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000
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.

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