Leah's chemistry class is exploring how the weight and volume of everyday objects are related. For her first experiment, Leah gently drops a brick into a beaker filled with water. The volume increases by 2 liters, so now she knows the volume of the brick. Then, she uses its density to make a prediction about its weight in kilograms. If the density of brick is approximately 2 grams per milliliter, what should Leah's prediction be?

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Answer 1

To find the predicted weight of the brick, Leah can use the relationship between density, mass, and volume. The formula for density is:

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

Rearranging this formula to find mass (or weight) gives us:

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

Given:

• The density of the brick is approximately 2 grams per milliliter (g/mL).
• The volume of the brick, as determined by the water displacement, is 2 liters.

To perform the calculations, we first need to convert the volume from liters to milliliters:

1 liter = 1000 milliliters, so: \[ 2 \text{ liters} = 2 \times 1000 = 2000 \text{ milliliters} \]

Now we can calculate the mass:

\[ \text{Mass} = \text{Density} \times \text{Volume} \] \[ \text{Mass} = 2 , \text{g/mL} \times 2000 , \text{mL} \] \[ \text{Mass} = 4000 , \text{grams} \]

To convert grams to kilograms (since there are 1000 grams in a kilogram), we divide by 1000:

\[ 4000 , \text{grams} = \frac{4000}{1000} = 4 , \text{kilograms} \]

Therefore, Leah's prediction for the weight of the brick should be:

4 kilograms.