A certain liquid has a density of 1.25 g/cm3. Which drawing below most closely represents the volume of this liquid needed to obtain 7.50 g of the liquid?
The Correct Answer and Explanation is:
To find the volume of the liquid needed to obtain 7.50 grams of it, we can use the formula:Density=MassVolume\text{Density} = \frac{\text{Mass}}{\text{Volume}}Density=VolumeMass
Rearranging the formula to solve for volume:Volume=MassDensity\text{Volume} = \frac{\text{Mass}}{\text{Density}}Volume=DensityMass
Given:
- Mass = 7.50 g
- Density = 1.25 g/cm³
Substitute the values into the formula:Volume=7.50 g1.25 g/cm3=6.00 cm3\text{Volume} = \frac{7.50 \, \text{g}}{1.25 \, \text{g/cm}^3} = 6.00 \, \text{cm}^3Volume=1.25g/cm37.50g=6.00cm3
So, the volume of liquid needed is 6.00 cm³.
Explanation:
Density is the mass per unit volume. The higher the density, the smaller the volume required for a given mass. In this case, for every 1.25 grams of the liquid, the volume is 1 cm³. Therefore, to obtain 7.50 grams, you need a volume of 6.00 cm³, which is calculated by dividing the mass by the density.
This volume (6.00 cm³) would likely correspond to a container that holds approximately 6 cubic centimeters of the liquid. Depending on the available drawings, you would select the one that visually represents this volume. The drawing would typically be a small rectangular or cubic container that visually represents about 6 cm³ of liquid.
