Math Problem Statement

A sample of an unknown liquid has a volume of 24.0 mL and a mass of 6 g. What is its density? Show your work or explain how you determined this value.

Solution

To determine the density of the unknown liquid, we use the formula:

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

Given values:

  • Mass (mm) = 6 g
  • Volume (VV) = 24.0 mL

Calculation:

Substituting the given values into the formula:

Density=6g24.0mL\text{Density} = \frac{6 \, \text{g}}{24.0 \, \text{mL}}

Density=0.25g/mL\text{Density} = 0.25 \, \text{g/mL}

Answer:

The density of the unknown liquid is 0.25g/mL0.25 \, \text{g/mL}.

Would you like further explanation, or do you have any questions?

Here are some related questions you might find interesting:

  1. How would the density change if the mass of the liquid was doubled but the volume remained the same?
  2. What would happen to the density if the volume of the liquid was increased to 48.0 mL while keeping the mass constant?
  3. How does the density of this liquid compare to the density of water (1.00 g/mL)?
  4. How can density be used to identify an unknown substance?
  5. If the density of a solid is 2.5 g/mL, how does it compare to the density of this liquid?

Tip: Density is an intrinsic property of a substance, which means it does not depend on the amount of the substance present!

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Math Problem Analysis

Mathematical Concepts

Density
Basic Algebra

Formulas

Density = Mass / Volume

Theorems

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Suitable Grade Level

Grades 6-8