Question

The density of blood is 1.05 kg/m3, find the mass of a bag of blood for a transfusion, if the volume is 1.5 m3.

Answer 1

(1.5 m^3) • (1.05 kg/m^3) = 1.575 kg. That's quite a bag you've got there ! 1 m^3 is like 264 gallons of blood. Hope the poor patient survives the transfusion. Also, the actual density of blood is around 1.05 g/cm^3, or 1050 kg/m^3. The blood they're giving the guy in this question is about 18% less dense than the AIR in his hospital room, and they're pumping 264 gallons of it into him. Maybe THAT'S his whole problem.

Answer 2

mass =1.575 kg: mass of a blood bag

Step-by-step explanation:

Conceptual analysis

We apply the formula to calculate the density:

ρ=m/V Formula (1)

Where:

ρ:Density in kg/m³

mass: mass in kg

V= Volume in m³

Unknown data

ρ=1.05 kg/m³

V= 1.5 m³

Problem developmentTo calculate the mass we replace the known data in the formula (1)

`1.05 (kg)/(m^(3) ) =(mass)/(1.5m^(3) )`

1.05
`(kg)/(m^(3) )`*1.5 m³= mass

mass =1.575 kg: mass of a blood bag