A 3-column table with four rows. The first column has entries Liquid A, Liquid B, Liquid C, Liquid D. The second column titled mass has entries 160 grams, 173 grams, 198 grams, 220 grams. The third column titled volume has entries 94 millimeters, 137 millimeters, 198 millimeters, 235 millimeters.

Question

Paula finds four unlabeled containers of clear, odorless liquid in her laboratory storage. One of the containers holds water. She knows that water has a density of 1.0 g/mL. Use the data provided to calculate the density of each liquid.

Which liquid is water?

Liquid A
Liquid B
Liquid C
Liquid D

Answer 1

To calculate the density of each liquid, use the formula:

\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]

Now, let's calculate the density for each liquid:

1. Liquid A:

   • Mass = 160 grams
   • Volume = 94 milliliters

   \[ \text{Density of Liquid A} = \frac{160 \text{ g}}{94 \text{ mL}} \approx 1.70 \text{ g/mL} \]

2. Liquid B:

   • Mass = 173 grams
   • Volume = 137 milliliters

   \[ \text{Density of Liquid B} = \frac{173 \text{ g}}{137 \text{ mL}} \approx 1.26 \text{ g/mL} \]

3. Liquid C:

   • Mass = 198 grams
   • Volume = 198 milliliters

   \[ \text{Density of Liquid C} = \frac{198 \text{ g}}{198 \text{ mL}} = 1.00 \text{ g/mL} \]

4. Liquid D:

   • Mass = 220 grams
   • Volume = 235 milliliters

   \[ \text{Density of Liquid D} = \frac{220 \text{ g}}{235 \text{ mL}} \approx 0.94 \text{ g/mL} \]

Now, let's summarize the densities:

• Density of Liquid A: 1.70 g/mL
• Density of Liquid B: 1.26 g/mL
• Density of Liquid C: 1.00 g/mL
• Density of Liquid D: 0.94 g/mL

Since water has a density of 1.0 g/mL, Liquid C is water.