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.

Answer 1

9.5x10¹⁷ s

Step-by-step explanation:

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

• 3.41 um³ *
  `((1m)/(10^6um) )^3*(1000L)/(1m^3)` = 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