Final answer:
To arrange the provided mass and volume pairs by density, calculate the density for each by dividing the mass by the volume, and then arrange them in ascending order. The correct order from least to greatest density is: 0.5 g, 5 cm³ (0.1 g/cm³); 1.6 g, 2 mL (0.8 g/cm³); 80 g, 80 mL (1 g/cm³); 0.275 g, 0.1 cm³ (2.75 g/cm³); 3.5 g, 1 cm³ (3.5 g/cm³); 15 g, 3 cm³ (5 g/cm³).
Step-by-step explanation:
To put the given density values in order from lowest to highest, we calculate the density by dividing the mass by the volume for each pair. As we recall from the text, density is mass divided by volume, often given in grams per cubic centimeter (g/cm³) or grams per milliliter (g/mL), which are equivalent units. Since 1 mL is equal to 1 cm³, we can convert volumes given in milliliters directly to cubic centimeters.
- 0.275 g, 0.1 cm³: Density = 0.275 g / 0.1 cm³ = 2.75 g/cm³
- 15 g, 3 cm³: Density = 15 g / 3 cm³ = 5 g/cm³
- 1.6 g, 2 mL (2 cm³): Density = 1.6 g / 2 cm³ = 0.8 g/cm³
- 3.5 g, 1 cm³: Density = 3.5 g / 1 cm³ = 3.5 g/cm³
- 0.5 g, 5 cm³ (5 mL): Density = 0.5 g / 5 cm³ = 0.1 g/cm³
- 80 g, 80 mL (80 cm³): Density = 80 g / 80 cm³ = 1 g/cm³
Now, arranging the densities from least to greatest:
- 0.1 g/cm³
- 0.8 g/cm³
- 1 g/cm³
- 2.75 g/cm³
- 3.5 g/cm³
- 5 g/cm³