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

A) [tex]1.87 \times 10^{13}[/tex]
B) [tex]5.12 \times 10^8[/tex]
C) [tex]6.40 \times 10^6[/tex]
D) [tex]2.32 \times 10^3[/tex]

Answer :

Final answer:

The flux of helium is calculated by dividing the number of atoms by the product of the area and the time in seconds. After conversion, the final answer is 4.5 x 10⁵ atoms/m²/s, which is not listed among the provided options.

Explanation:

To calculate the flux of helium in units of atoms per m2 per second, we can use the given information. We know 10,916 atoms pass through a 4 square meter plate every 1.70 hours. Since there are 3600 seconds in an hour, we first convert 1.70 hours to seconds: 1.70 hours x 3600 seconds/hour = 6120 seconds. Now, we divide the number of atoms by both the area and the time to get the flux per m2 per second:

Flux = (10,916 atoms) / (4 m2 x 6120 s) = 0.447 atoms/m2/s

To express this in scientific notation, we multiply by 106 to get: Flux = 0.447 x 106 atoms/m2/s

Final answer rounded to two significant digits is 4.5 x 105 atoms/m2/s, which is not one of the options provided, indicating a potential error in the question or the answer choices.

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Rewritten by : Jeany