Math Problem Statement

Suppose you place 7.06 mL of a substance into a graduated cylinder. The graduated cylinder has a mass of 12.55 g when empty and a mass of 14.72 g after adding the substance.

What is the density of the substance (in g/mL)?

Type answer:

Solution

The density of a substance is given by the formula:

Density=Mass of the substanceVolume of the substance\text{Density} = \frac{\text{Mass of the substance}}{\text{Volume of the substance}}

First, calculate the mass of the substance: Mass of the substance=Mass of graduated cylinder with substanceMass of empty graduated cylinder\text{Mass of the substance} = \text{Mass of graduated cylinder with substance} - \text{Mass of empty graduated cylinder} Mass of the substance=14.72g12.55g=2.17g\text{Mass of the substance} = 14.72 \, \text{g} - 12.55 \, \text{g} = 2.17 \, \text{g}

Next, we know the volume of the substance is 7.06 mL.

Now, use the density formula: Density=2.17g7.06mL0.3073g/mL\text{Density} = \frac{2.17 \, \text{g}}{7.06 \, \text{mL}} \approx 0.3073 \, \text{g/mL}

The density of the substance is approximately 0.307 g/mL.

Would you like more details or further clarification?

Here are some related questions:

  1. How does temperature affect the density of a substance?
  2. What units are typically used for measuring density?
  3. How can you determine the volume of an irregular object for density calculation?
  4. What is the relationship between mass, volume, and density in liquids versus gases?
  5. How do different materials' densities compare (e.g., water, oil, metals)?

Tip: Always ensure that both the mass and volume are measured accurately when calculating density to minimize errors.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Density Calculation
Basic Algebra

Formulas

Density = Mass / Volume

Theorems

-

Suitable Grade Level

Grades 6-8