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).