Math Problem Statement

A gas fills a volume of 1200. mL and has a mass of 1.60 g. What is the density of the gas?

Solution

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

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

Given:

  • Mass = 1.60 g
  • Volume = 1200 mL = 1200 cm³ (since 1 mL = 1 cm³)

Now, substitute the values into the formula:

Density=1.60g1200cm3=0.00133g/cm3\text{Density} = \frac{1.60 \, \text{g}}{1200 \, \text{cm}^3} = 0.00133 \, \text{g/cm}^3

Thus, the density of the gas is 0.00133 g/cm³.

Would you like further explanation or details on how to work with units?


Here are some related questions you might find useful:

  1. How does the density of a gas compare to a solid or liquid?
  2. How would temperature affect the density of this gas?
  3. What are the typical units used for gas densities?
  4. How does changing the volume affect gas density?
  5. How would you convert this density to kg/m³?

Tip: Always check that your units match when calculating density, mass, or volume.

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Math Problem Analysis

Mathematical Concepts

Density
Units Conversion

Formulas

Density = Mass / Volume

Theorems

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Suitable Grade Level

Grades 6-8