Math Problem Statement

Suppose you place 6.24 mL of a substance into a graduated cylinder. The graduated cylinder has a mass of 12.55 g when empty and a mass of 14.84 g after adding the substance.

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

Type answer:

Solution

To find the density of the substance, we can use the formula:

Density=MassVolume\text{Density} = \frac{\text{Mass}}{\text{Volume}}

Step 1: Find the mass of the substance

The mass of the substance is the difference between the mass of the graduated cylinder with the substance and the mass of the empty graduated cylinder.

Mass of the substance=14.84g12.55g=2.29g\text{Mass of the substance} = 14.84 \, \text{g} - 12.55 \, \text{g} = 2.29 \, \text{g}

Step 2: Use the volume given

The volume of the substance is given as 6.24 mL.

Step 3: Calculate the density

Density=2.29g6.24mL0.3678g/mL\text{Density} = \frac{2.29 \, \text{g}}{6.24 \, \text{mL}} \approx 0.3678 \, \text{g/mL}

Thus, the density of the substance is approximately 0.368 g/mL (rounded to three decimal places).

Do you want more details or have any questions?

Here are five related questions:

  1. How would the density change if you had more mass but the same volume?
  2. What units can density be expressed in other than g/mL?
  3. How does temperature affect the density of most substances?
  4. What is the significance of a substance's density in real-world applications?
  5. Can two substances have the same density but different masses? Why?

Tip: Always make sure that the mass and volume units are compatible when calculating density.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Density
Mass and Volume
Basic Arithmetic

Formulas

Density = Mass / Volume

Theorems

-

Suitable Grade Level

Grades 6-8