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QuestionFind the mass (in mg) of 6.50 ml of isopropyl alcohol with a density of 0.7860 g/ml0.7860 \mathrm{~g} / \mathrm{ml}.

Studdy Solution

STEP 1

Assumptions1. The density of isopropyl alcohol is 0.7860 g/ml0.7860 \, \mathrm{g/ml} . The volume of the sample is 6.50 ml6.50 \, \mathrm{ml}
3. We need to find the mass in mg\mathrm{mg}

STEP 2

The formula to calculate mass when density and volume are given isMass=Density×VolumeMass = Density \times Volume

STEP 3

Now, plug in the given values for the density and volume to calculate the mass.
Mass=0.7860 g/ml×6.50 mlMass =0.7860 \, \mathrm{g/ml} \times6.50 \, \mathrm{ml}

STEP 4

Calculate the mass.
Mass=0.7860 g/ml×6.50 ml=.109 gMass =0.7860 \, \mathrm{g/ml} \times6.50 \, \mathrm{ml} =.109 \, \mathrm{g}

STEP 5

Since we need the mass in mg\mathrm{mg}, we need to convert it from g\mathrm{g} to mg\mathrm{mg}. We know that 1 g=1000 mg1 \, \mathrm{g} =1000 \, \mathrm{mg}.
Mass=5.109 g×1000 mg/gMass =5.109 \, \mathrm{g} \times1000 \, \mathrm{mg/g}

STEP 6

Calculate the mass in mg\mathrm{mg}.
Mass=5.109 g×1000 mg/g=5109 mgMass =5.109 \, \mathrm{g} \times1000 \, \mathrm{mg/g} =5109 \, \mathrm{mg}The mass of the sample is 5109 mg5109 \, \mathrm{mg}.

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