The density of acetic anhydride is 1.082 g/mL. What is the volume of 2.70 g acetic anhydride? (1 pts)
The Correct Answer and Explanation is:
Correct Answer:
Volume = 2.50 mL
Explanation:
To find the volume of a substance when given its mass and density, the appropriate formula is:Volume=MassDensity\text{Volume} = \frac{\text{Mass}}{\text{Density}}Volume=DensityMass
In this case, the mass of acetic anhydride is 2.70 grams, and the density is provided as 1.082 grams per milliliter. Substituting the values into the formula gives:Volume=2.70 g1.082 g/mL≈2.495 mL\text{Volume} = \frac{2.70\ \text{g}}{1.082\ \text{g/mL}} \approx 2.495\ \text{mL}Volume=1.082 g/mL2.70 g≈2.495 mL
Rounding to three significant figures (to match the precision of the given data), the final answer is:Volume≈2.50 mL\text{Volume} \approx 2.50\ \text{mL}Volume≈2.50 mL
Density is a physical property defined as mass per unit volume. It represents how much mass is contained in a specific volume of a substance. A higher density means that a substance is more tightly packed with matter.
In this calculation, the mass of the acetic anhydride is known, and the goal is to determine how much space this quantity of matter occupies. Dividing the mass by the density gives the volume required to contain that amount of acetic anhydride. The units cancel appropriately: grams divided by grams per milliliter results in milliliters.
This relationship is commonly used in laboratory settings and chemical calculations where either mass or volume needs to be converted, depending on the form of the available data. Precise handling of significant figures ensures the final answer reflects the certainty of the input measurements.
