Part A) Find the kinetic energy of an electron with a de Broglie wavelength of 0.150 nmnm. Express your answer in electronvolts to three significant figures.
Part A) Find the kinetic energy of an electron with a de Broglie wavelength of 0.150 nmnm. Express your answer in electronvolts to three significant figures.
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Transcribed Image Text:SET UP:
In this example, we will apply the concept of the de
Broglie wavelength to neutrons. Find the speed and
kinetic energy of a neutron
(m= 1.675 x 10-27 kg) that has a de Broglie
wavelength λ = 0.200 nm, typical of atomic
spacing in crystals. Compare the energy with the
average kinetic energy of a gas molecule at room
temperature (T = 20°C).
SOLVE
From the ce Broglie relationship
6.626 x 10 ¹J-s
V
Am (0.200 x 10 m)(1.675 x 10 kg)
1.98 x 10 m/s,
1
1
K =
mu²(1.675 x 10-kg)(1.98 x 10³ m/s)³
2
2
-3.28 x 10 J-0.0205 V
The average translational kinetic energy of a molecule of an ideal gas at absolute temperature T = 293 K equal to 20°C or
66°F) is given by K=KT, where & is Bolzmann's constant
K-
-
(1.38x10-¹1/K) (293 K)
6.07 x 10- J-0.0379 eV.
THIS IS THE PART I NEED:
Part A) Find the kinetic energy of an electron with a de Broglie wavelength of
0.150 nmnm. Express your answer in electronvolts to three significant figures.
M
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