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When a beam of atoms emerges from an oven at the absolute
Chapter 30, Problem 96GP(choose chapter or problem)
When a beam of atoms emerges from an oven at the absolute temperature , the most probable de Broglie wavelength for a given atom is
\(\lambda_{m p}=\frac{h}{\sqrt{5 m k T}}\)
In this expression, m is the mass of an atom, and k is Boltz-mann’s constant (Chapter 17). What is the most probable speed of a hydrogen atom emerging from an oven at 450 K?
Equation Transcription:
Text Transcription:
\lambda_m p=\frac{h \sqrt{5 m k T
Questions & Answers
QUESTION:
When a beam of atoms emerges from an oven at the absolute temperature , the most probable de Broglie wavelength for a given atom is
\(\lambda_{m p}=\frac{h}{\sqrt{5 m k T}}\)
In this expression, m is the mass of an atom, and k is Boltz-mann’s constant (Chapter 17). What is the most probable speed of a hydrogen atom emerging from an oven at 450 K?
Equation Transcription:
Text Transcription:
\lambda_m p=\frac{h \sqrt{5 m k T
ANSWER:
Step 1 of 2
The most probable De Broglie wavelength is given by,
The most probable De Broglie wavelength for a given atoms is given by,
Compare equation one and two,
Implies,
