You have a 22 g sample of ethanol with a density of 0.7893 g/mL. What volume of ethanol do you have?
Mass = volume x density
Substitute and solve for volume.
27.872799
To two significant figures (allowed by the number 22) that is 28 cc.
Convert 34.5 in2 to cm2. Report the answer to the correct number of significant figures. (1 inch = 2.54 cm is an exact or defined conversion.)
To find the volume of ethanol, you need to divide the mass of the ethanol sample by its density.
First, let's convert the density of ethanol to grams per cubic centimeter (g/cm³) because the mass is given in grams. Since there are 1,000 milliliters (mL) in a liter and 1 cubic centimeter (cm³) is equal to 1 milliliter, we can say that 1 mL is equal to 1 cm³.
The given density is 0.7893 g/mL.
Converting g/mL to g/cm³, we divide the density by 1 mL/cm³:
0.7893 g/mL ÷ 1 mL/cm³ = 0.7893 g/cm³
Now, we have the density in units of grams per cubic centimeter.
Next, we can find the volume of ethanol by dividing the mass of the sample by its density:
Volume (in cm³) = Mass (in grams) ÷ Density (in g/cm³)
Given that the mass of the ethanol sample is 22 grams, we can substitute the values into the formula:
Volume (in cm³) = 22 g ÷ 0.7893 g/cm³
Calculating this value:
Volume (in cm³) = 27.85 cm³
Therefore, you have a volume of 27.85 cm³ of ethanol.