Zeolites are crystalline structures composed of aluminum, silicon, and oxygen with pores that can act as cages or channels for molecules. They are often used for separating molecules by their size. Answer the following 4 questions to determine if classical mechanics are sufficient to model a helium atom traveling through a zeolite. Calculate the de Broglie wavelength for a helium atom (m = 6.6 x 10-27kg) at room temperature (typical speed = 1000 m/s). If the uncertainty in position for the helium atom is 10 angstroms, what is the minimum uncertainty of its velocity? Imagine the helium atom is confined to motion along a line of length L = 10 angstroms. What is the closest quantum number for the confined atom traveling at 1000 m/s? (hint: use the 1D particle in a box model).
Zeolites are crystalline structures composed of aluminum, silicon, and oxygen with pores that can act as cages or channels for molecules. They are often used for separating molecules by their size. Answer the following 4 questions to determine if classical mechanics are sufficient to model a helium atom traveling through a zeolite. Calculate the de Broglie wavelength for a helium atom (m = 6.6 x 10-27kg) at room temperature (typical speed = 1000 m/s). If the uncertainty in position for the helium atom is 10 angstroms, what is the minimum uncertainty of its velocity? Imagine the helium atom is confined to motion along a line of length L = 10 angstroms. What is the closest quantum number for the confined atom traveling at 1000 m/s? (hint: use the 1D particle in a box model).
Chemistry for Engineering Students
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Chapter6: The Periodic Table And Atomic Structure
Section: Chapter Questions
Problem 6.93PAE: 6.93 A mercury atom is initially in its lowest possible (or ground state) energy level. The atom...
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Zeolites are crystalline structures composed of aluminum, silicon, and oxygen with pores that can act as cages or channels for molecules. They are often used for separating molecules by their size. Answer the following 4 questions to determine if
- Calculate the de Broglie wavelength for a helium atom (m = 6.6 x 10-27kg) at room temperature (typical speed = 1000 m/s).
- If the uncertainty in position for the helium atom is 10 angstroms, what is the minimum uncertainty of its velocity?
- Imagine the helium atom is confined to motion along a line of length L = 10 angstroms. What is the closest quantum number for the confined atom traveling at 1000 m/s? (hint: use the 1D particle in a box model).
- Based on your answers to parts a-c, how much do you expect quantum properties to matter for a helium atom confined to a 10 angstrom zeolite pore? Address each of the three properties discussed in parts a-c: wavelength, uncertainty, and quantum number.
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