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QuestionScott weighs 219 lbs and has a blood volume of 8.1qt8.1 \mathrm{qt}. Find the mass of his blood in grams using 1qt=946mL1 \mathrm{qt} = 946 \mathrm{mL}.

Studdy Solution

STEP 1

Assumptions1. Scott's blood volume is 8.1qt8.1 \mathrm{qt} . The density of blood is 1.22 g/m1.22 \mathrm{~g} / \mathrm{m} 3.1 quart =946=946 milliliters

STEP 2

First, we need to convert the volume of Scott's blood from quarts to milliliters using the conversion factor.Volumem=VolumeqttimesConversion factorVolume_{m} = Volume_{qt} \\times Conversion\, factor

STEP 3

Now, plug in the given values for the volume in quarts and the conversion factor to calculate the volume in milliliters.
Volumem=8.1qttimes946m/qtVolume_{m} =8.1 \mathrm{qt} \\times946 \mathrm{m/qt}

STEP 4

Calculate the volume in milliliters.
Volumem=8.1qttimes946m/qt=7662.6mVolume_{m} =8.1 \mathrm{qt} \\times946 \mathrm{m/qt} =7662.6 \mathrm{m}

STEP 5

Now that we have the volume in milliliters, we can find the mass of Scott's blood. We can do this by multiplying the volume by the density of blood.
Mass=VolumemtimesDensityMass = Volume_{m} \\times Density

STEP 6

Plug in the values for the volume in milliliters and the density to calculate the mass.
Mass=7662.6mtimes1.22 g/mLMass =7662.6 \mathrm{m} \\times1.22 \mathrm{~g/mL}

STEP 7

Calculate the mass of Scott's blood.
Mass=7662.6mtimes1.22 g/mL=934.372gMass =7662.6 \mathrm{m} \\times1.22 \mathrm{~g/mL} =934.372 \mathrm{g}The mass of Scott's blood is934.372 grams.

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