Math Problem Statement

A sample of an unknown liquid has a volume of 12.0 mL and a mass of 6 g. What is its density? Show your work or explain how you determined this value.

Solution

To calculate the density of a substance, we can use the formula:

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

In this problem, we are given:

  • Mass (mm) = 6.0 g
  • Volume (VV) = 12.0 mL

Substituting these values into the formula:

Density=6.0g12.0mL=0.5g/mL\text{Density} = \frac{6.0 \, \text{g}}{12.0 \, \text{mL}} = 0.5 \, \text{g/mL}

Answer: The density of the unknown liquid is 0.5g/mL0.5 \, \text{g/mL}.

Would you like additional details, or do you have any questions?


Related Questions

  1. How would the density change if the mass of the liquid were doubled?
  2. If the volume were halved while keeping the mass the same, what would the density be?
  3. How does density help in identifying unknown substances?
  4. What units are commonly used for density, and why?
  5. How would you measure the volume of an irregularly shaped object to find its density?

Tip

Remember that density is an intrinsic property of a substance and does not change with the amount of material.

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Math Problem Analysis

Mathematical Concepts

Density Calculation
Ratio and Proportion

Formulas

Density = Mass / Volume

Theorems

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Suitable Grade Level

Grades 6-8