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Answer :
Final answer:
Masses are 5000 g, 5250 g, and 5150 g respectively.
Explanation:
The question involves calculating the mass of different fluids based on their densities. Density is defined as mass divided by volume, and is an important concept in chemistry when dealing with the properties of substances. Mass can be found by multiplying the density of a substance by its volume. Since 1 liter (L) is equal to 1000 cubic centimeters (cm3), the volume can be converted into cm3 by multiplying by 1000.
The mass of 5.00 L of pure water, with a density of 1.00 [tex]g/cm^3[/tex], is 5000 g (1.00 [tex]g/cm^3[/tex] times 5000 [tex]cm^3[/tex]).
The mass of 5.00 L of whole blood, with a density of 1.05 [tex]g/cm^3[/tex], is 5250 g (1.05 [tex]g/cm^3[/tex] times 5000 [tex]cm^3[/tex]).
The mass of 5.00 L of seawater, with a density of 1.03 [tex]g/cm^3[/tex], is 5150 g (1.03 [tex]g/cm^3[/tex] times 5000 [tex]cm^3[/tex]).
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Answer:
a) 5000 g
b) 5250 g
c) 5150 g
Explanation:
For easier calculations, the formulas will be converted from g/cm³ to kg/m³, and then back when we're done.
Density of pure water is 1 g/cm³
1 g/cm³ = 1 * 0.001/0.000001
1 g/cm³ = 1000 kg/m³, and thus,
Density of pure blood
1.05 g/cm³ = 1050 kg/m³
Density of seawater
1.03 g/cm³ = 1030 kg/m³
Recall that, Density = mass / volume, and as such, mass = density * volume.
Converting our volume from L to m³
1 m³ = 1000 L, and as such
1 L = 0.001 m³
5 L = 0.005 m³
Mass of pure water = 1000 * 0.005
Mass of pure water = 5 kg
Mass of pure blood = 1050 * 0.005
Mass of pure blood = 5.25 kg
Mass of seawater = 1030 * 0.005
Mass of seawater = 5.15 kg
Converting these masses back to g, we have
Mass of pure water = 5 kg * 1000 g
Mass of pure water = 5000 g
Mass of pure blood = 5.25 kg * 1000 g
Mass of pure blood = 5250 g
Mass of seawater = 5.15 kg * 1000 g
Mass of seawater = 5150 g
