Ethanol has a density of 0.780 g/mL. What volume would 500. grams of ethanol occupy. Answer with correct number of sig figs

Show your work and tell me what you think.

use the equation d=m/v

To find the volume of ethanol, we can use the formula:

Volume = mass / density

First, we need to convert the mass given in grams to the correct unit, which is kilograms. To do this, divide the mass by 1000:

Mass = 500 grams / 1000 = 0.500 kg

Next, we can substitute the mass (in kg) into the formula along with the given density:

Volume = 0.500 kg / 0.780 g/mL

To cancel out the grams in the denominator, we need to convert the density to the corresponding unit of grams:

Density = 0.780 g/mL * 1 mL/1 cm³ = 0.780 g/cm³

Then, we substitute this density value into the formula:

Volume = 0.500 kg / 0.780 g/cm³

Now, let's determine the volume:

Volume = 0.641 cm³

The volume of 500 grams of ethanol is approximately 0.641 cm³. Since the density was given with three significant figures, we should keep our final answer with three significant figures as well. Thus, the volume of ethanol is 0.641 cm³ (with the correct number of significant figures).