Math Problem Statement

A sample of a hypothetical element, E, has a mass of 443 g. Given that the theoretical density is 19.30 g/mL, what is the volume of the element sample in mL? Omit the mL label.

Solution

To find the volume of the element sample, we use the formula for density:

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

Rearranging the formula to solve for volume:

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

Given:

  • Mass = 443 g
  • Density = 19.30 g/mL

Substitute these values into the formula:

Volume=44319.30\text{Volume} = \frac{443}{19.30}

Now, let's calculate the volume.

Volume44319.3022.95\text{Volume} \approx \frac{443}{19.30} \approx 22.95

So, the volume of the element sample is 22.95 (mL).

Would you like to see more details or have any questions? Here are some related questions:

  1. How do you calculate density if mass and volume are given?
  2. What are some real-life applications of density in science?
  3. How does the density of a substance affect its state (solid, liquid, gas)?
  4. What units are typically used to express density?
  5. How does temperature affect the density of a material?

Tip: Remember, density is a characteristic property of a substance, and it can help identify unknown materials.

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Math Problem Analysis

Mathematical Concepts

Density Calculation
Algebra

Formulas

Density = Mass / Volume
Volume = Mass / Density

Theorems

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Suitable Grade Level

Grades 6-8