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 t

Question

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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Đan Thu 7 months 2021-07-12T10:12:08+00:00 1 Answers 32 views 0

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    2021-07-12T10:13:29+00:00

    Answer:

    9.5×10¹⁷ s

    Explanation:

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

    • 3.41 um³ * (\frac{1m}{10^6um} )^3*\frac{1000L}{1m^3} = 3.41×10⁻¹⁵ L

    With the converted rate of 3.41×10⁻¹⁵ L/min, we can calculate how many minutes it would take to fill a 54 L vessel:

    • 54 L ÷ 3.41×10⁻¹⁵ L/min = 1.58×10¹⁶ min

    Finally we convert 1.58×10¹⁶ minutes to seconds:

    • 1.58×10¹⁶ * 60 = 9.5×10¹⁷ s

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