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QuestionConvert the volume of a particle from 1.2μm31.2 \mu \mathrm{m}^{3} to liters. Volume ==

Studdy Solution

STEP 1

Assumptions1. The volume of the particle is given as 1.μm31. \mu m^{3} . We need to convert this volume to liters3. The conversion factor is 1m3=1,000,000μm3=1,000L1 m^{3} =1,000,000 \mu m^{3} =1,000 L

STEP 2

First, we need to convert the volume from cubic micrometers (μm\mu m^{}) to cubic meters (mm^{}). We can do this by dividing the given volume by the conversion factor.
Volumem=Volumeμm1,000,000Volume_{m^{}} = \frac{Volume_{\mu m^{}}}{1,000,000}

STEP 3

Now, plug in the given value for the volume in cubic micrometers to calculate the volume in cubic meters.
Volumem3=1.2μm31,000,000Volume_{m^{3}} = \frac{1.2 \mu m^{3}}{1,000,000}

STEP 4

Calculate the volume in cubic meters.
Volumem3=1.2μm31,000,000=1.2×10−9m3Volume_{m^{3}} = \frac{1.2 \mu m^{3}}{1,000,000} =1.2 \times10^{-9} m^{3}

STEP 5

Now, we need to convert the volume from cubic meters (m3m^{3}) to liters (). We can do this by multiplying the volume in cubic meters by the conversion factor.
Volume=Volumem3×1,000Volume_{} = Volume_{m^{3}} \times1,000

STEP 6

Now, plug in the calculated value for the volume in cubic meters to calculate the volume in liters.
Volume=1.2×10−9m3×1,000Volume_{} =1.2 \times10^{-9} m^{3} \times1,000

STEP 7

Calculate the volume in liters.
Volume=1.2×10−9m3×1,000=1.2×10−6LVolume_{} =1.2 \times10^{-9} m^{3} \times1,000 =1.2 \times10^{-6} LThe volume of the particle is 1.2×10−61.2 \times10^{-6} liters.

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