Question
The range of the potential between two hydrogen atoms is approximately $4 \AA$. For a gas in thermal equilibrium obtain a numerical estimate of the temperature below which the atom-atom scattering is essentially $S$-wave.
Step 1
The range of the potential between two hydrogen atoms is given as \( r_0 = 4 \, \text{Å} = 4 \times 10^{-10} \, \text{m} \). Show more…
Show all steps
Your feedback will help us improve your experience
Sheh Lit Chang and 91 other educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
The average thermal energy due to the random translational motion of a hydrogen atom at room temperature is $(3 / 2) k_{\mathrm{B}} T .$ Here $k_{\mathrm{B}}$ is the Boltzmann constant. Would a typical collision between two hydrogen atoms be likely to transfer enough energy to one of the atoms to raise its energy from the $n=1$ to the $n=2$ energy state? Explain your answer. [Note: Earth's free hydrogen is in the molecular form $\mathrm{H}_{2}$. However, the above reasoning is similar for atomic and molecular hydrogen.]
The average thermal energy due to the random translational motion of a hydrogen atom at room temperature is $(3 / 2) k T$ Here $k$ is the Boltzmann constant. Would a typical collision between two hydrogen atoms be likely to transfer enough energy to one of the atoms to raise its energy from the $n=1$ to the $n=2$ energy state? Explain your answer. [Note: Earth's free hydrogen is in the molecular form $\mathrm{H}_{2}$ . However, the above reasoning is similar for atomic and molecular hydrogen.]
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD