A particle of matter is moving with a kinetic energy of 8.15 eV. Its de Broglie wavelength is 2.34 x 10^-12 m. What is the mass of the particle?     3.07E-26 kg     1.84E-26 kg     3.68E-26 kg     5.22E-26 kg

Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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A particle of matter is moving with a kinetic energy of 8.15 eV. Its de Broglie wavelength is 2.34 x 10^-12 m. What is the mass of the particle?
   
3.07E-26 kg
   
1.84E-26 kg
   
3.68E-26 kg
   
5.22E-26 kg
Expert Solution
Step 1

The kinetic energy of the particle is given by,

=> K = 12mv2

where K = kinetic energy in J

m = mass in Kg

And v = velocity in m/s

Step 2

The de Broglie wavelength of any specie is given by,

=> λ = hp

where h = Plank's constant = 6.626 X 10-34 Js

λ = de Broglie wavelength in m = 2.34 X 10-12 m

And p = momentum of specie in Kg.m/s

Since p = mv

where m = mass in Kg

And v = velocity in m/s

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