74.
(a) When n = 1, V = V
m
= RT /p, where V
m
is the molar volume of the gas. So
V
m
=
RT
p
=
(8.31 J/mol
·K)(273.15K)
1.01
× 10
5
Pa
= 22.5 L .
(b) We use v
rms
=
3RT /M . The ratio is given by
v
rms,He
v
rms,Ne
=
M
Ne
M
He
=
20 g
4.0 g
= 2.25 .
(c) We use λ
He
= (
√
2πd
2
N/V )
−1
, where the number of particles per unit volume is given by N/V =
N
A
n/V = N
A
p/RT = p/kT . So
λ
He
=
1
√
2πd
2
(p/kT )
=
kT
√
2πd
2
p
=
(1.38
× 10
−23
J/K)(273.15K)
1.414π(1
× 10
−10
m)
2
(1.01
× 10
5
Pa)
= 0.84 µm .
(d) λ
Ne
= λ
He
= 0.84 µm.
Document Outline
- Main Menu
- Chapter 1 Measurement
- Chapter 2 Motion Along a Straight Line
- Chapter 3 Vectors
- Chapter 4 Motion in Two and Three Dimensions
- Chapter 5 Force and Motion I
- Chapter 6 Force and Motion II
- Chapter 7 Kinetic Energy and Work
- Chapter 8 Potential Energy and Conservation of Energy
- Chapter 9 Systems of Particles
- Chapter 10 Collisions
- Chapter 11 Rotation
- Chapter 12 Rolling, Torque, and Angular Momentum
- Chapter 13 Equilibrium and Elasticity
- Chapter 14 Gravitation
- Chapter 15 Fluids
- Chapter 16 Oscillations
- Chapter 17 Waves—I
- Chapter 18 Waves—II
- Chapter 19 Temperature, Heat, and the First Law of Thermodynamics
- Chapter 20 The Kinetic Theory of Gases
- 20.1 - 20.10
- 20.1
- 20.2
- 20.3
- 20.4
- 20.5
- 20.6
- 20.7
- 20.8
- 20.9
- 20.10
- 20.11 - 20.20
- 20.11
- 20.12
- 20.13
- 20.14
- 20.15
- 20.16
- 20.17
- 20.18
- 20.19
- 20.20
- 20.21 - 20.30
- 20.21
- 20.22
- 20.23
- 20.24
- 20.25
- 20.26
- 20.27
- 20.28
- 20.29
- 20.30
- 20.31 - 20.40
- 20.31
- 20.32
- 20.33
- 20.34
- 20.35
- 20.36
- 20.37
- 20.38
- 20.39
- 20.40
- 20.41 - 20.50
- 20.41
- 20.42
- 20.43
- 20.44
- 20.45
- 20.46
- 20.47
- 20.48
- 20.49
- 20.50
- 20.51 - 20.60
- 20.51
- 20.52
- 20.53
- 20.54
- 20.55
- 20.56
- 20.57
- 20.58
- 20.59
- 20.60
- 20.61 - 20.70
- 20.61
- 20.62
- 20.63
- 20.64
- 20.65
- 20.66
- 20.67
- 20.68
- 20.69
- 20.70
- 20.71 - 20.80
- 20.71
- 20.72
- 20.73
- 20.74
- 20.75
- 20.76
- 20.77
- 20.78
- 20.79
- 20.80
- 20.81 - 20.90
- 20.81
- 20.82
- 20.83
- 20.84
- 20.85
- 20.86
- 20.87
- 20.88
- 20.89
- 20.90
- 20.91 - 20.92
- 20.91
- 20.92
- 20.1 - 20.10
- Chapter 21 Entropy and the Second Law of Thermodynamics
- Chapter 22 Electric Charge
- Chapter 23 Electric Fields
- Chapter 24 Gauss’ Law
- Chapter 25 Electric Potential
- Chapter 26 Capacitance
- Chapter 27 Current and Resistance
- Chapter 28 Circuits
- Chapter 29 Magnetic Fields
- Chapter 30 Magnetic Fields Due to Currents
- Chapter 31 Induction and Inductance
- Chapter 32 Magnetism of Matter: Maxwell’s Equation
- Chapter 33 Electromagnetic Oscillations and Alternating Current
- Chapter 34 Electromagnetic Waves
- Chapter 35 Images
- Chapter 36 Interference
- Chapter 37 Diffraction
- Chapter 38 Special Theory of Relativity
- Chapter 39 Photons and Matter Waves
- Chapter 40 More About Matter Waves
- Chapter 41 All About Atoms
- Chapter 42 Conduction of Electricity in Solids
- Chapter 43 Nuclear Physics
- Chapter 44 Energy from the Nucleus
- Chapter 45 Quarks, Leptons, and the Big Bang
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