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A vessel is filled at a rate of 3.41 cubic micrometers per minute. If the vessel has a volume of 54 liters, how many
seconds will it take to fill the vessel? provide a step buy step explanation.

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Answer:

9.5x10¹⁷ s

Explanation:

First we convert 3.41 cubic micrometers (um³) to liters (L), as such:

  • 3.41 um³ * [tex](\frac{1m}{10^6um} )^3*\frac{1000L}{1m^3}[/tex] = 3.41x10⁻¹⁵ L

With the converted rate of 3.41x10⁻¹⁵ L/min, we can calculate how many minutes it would take to fill a 54 L vessel:

  • 54 L ÷ 3.41x10⁻¹⁵ L/min = 1.58x10¹⁶ min

Finally we convert 1.58x10¹⁶ minutes to seconds:

  • 1.58x10¹⁶ * 60 = 9.5x10¹⁷ s

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