If 10,916 atoms of helium pass through a 4 square meter plate area every 1.70 hours, and this flux is constant with time, compute the flux of helium in units of atoms per [tex]m^2[/tex] per second.

Question

23-05-2024
Mathematics

High School

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If 10,916 atoms of helium pass through a 4 square meter plate area every 1.70 hours, and this flux is constant with time, compute the flux of helium in units of atoms per [tex]m^2[/tex] per second.

Answer :

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Kavita68 Kavita68 · Answer 1 · 2024-08-27T10:35:14-04:00

Final answer:

The flux of helium, given that 10,916 atoms pass through a 4 m² area in 1.70 hours, is computed by dividing the number of atoms by the area and the time in seconds. The resulting flux is approximately 0.446 atoms per square meter per second.

Explanation:

To determine the flux of helium, we need to first understand that flux is defined as the number of particles passing through a unit area in a unit amount of time. In this question, we know that 10,916 atoms of helium pass through a 4 square meter plate every 1.70 hours. To compute the flux of helium in units of atoms per m2 per second, we must first convert the time from hours to seconds.

1.70 hours is equal to 1.70 hours * 60 minutes/hour * 60 seconds/minute = 6120 seconds. Then, divide the total number of atoms (10,916) by both the area (4m2) and time (6120 seconds): Flux = (10,916 atoms) / (4 m² * 6,120 seconds) = 0.446 atoms/m²/s. Therefore, the flux of helium through the plate is approximately 0.446 atoms per square meter per second.

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