A patient recovering from surgery is being given fluid intravenously. The fluid has a density of $1030$ $kg$$/$$m^3$ and $9.5 * 10^-4$$m^3$ of it flows into the patient every six hours. What is the mass flow rate in $kg$$/$$s$?

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A patient recovering from surgery is being given fluid intravenously. The fluid has a density of $1030$ $kg$$/$$m^3$ and $9.5 * 10^-4$$m^3$ of it flows into the patient every six hours. What is the mass flow rate in $kg$$/$$s$?

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Md Ariful Islam · Answer 1 · Apr 02, 2024 09:48:30

Let's calculate the mass flow first.

We can use the as a conversion factor to convert the volume to mass.

$"Mass" = 9.5×10^(−4) color(red)(cancel(color(black)("m"^3))) × "1030 kg"/(1 color(red)(cancel(color(black)("m"^3)))) = "0.978 kg"$

Next, convert the time to seconds.

$6 color(red)(cancel(color(black)("h"))) × (60 color(red)(cancel(color(black)("min"))))/(1color(red)(cancel(color(black)("h")))) × "60 s"/(1color(red)(cancel(color(black)("min")))) = "21 600 s"$

Finally, we can calculate the mass flow rate.

$"Mass flow rate" = "kilograms"/"seconds" = "0.978 kg"/"21 600 s" = 4.5 × 10^-5 color(white)(l)"kg/s"$

A patient recovering from surgery is being given fluid intravenously. The fluid has a density of $1030$ $kg$$/$$m^3$ and $9.5 * 10^-4$$m^3$ of it flows into the patient every six hours. What is the mass flow rate in $kg$$/$$s$?

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