First, let's convert 5.5 L to milliliters to cancel correctly when we use the formula. Remember that 1 liter equals 1000 mL:
[tex]\text{5}.5\text{ L}\cdot\frac{1000\text{ mL}}{1\text{ L}}=5500\text{ mL.}[/tex]
Now that we have this value, we can find the mass using the formula:
[tex]\begin{gathered} \text{density}=\frac{mass}{volume}, \\ \text{mass}=\text{density}\cdot\text{volume.} \end{gathered}[/tex]
And replace the data that we have:
[tex]\begin{gathered} \text{mass}=1.06\frac{g}{mL}\cdot5500mL, \\ \text{mass}=5830\text{ g.} \end{gathered}[/tex]
But we need to give the answer in kg, so remember that 1 kg equals 1000 g. The conversion from 5830 g to kg would be:
[tex]5830\text{ g}\cdot\frac{1kg}{1000\text{ g}}=5.83kg.[/tex]
The answer is that the mass of blood is 5.83 kg in 5.5 L.
