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A chemist has 81 grams of aluminum. There are 2.70 grams/milliliters for aluminum. How many milliliters of aluminum does the chemist have? Set this up either as a proportion or using unit analysis.

Option 1: 30 milliliters
Option 2: 54 milliliters
Option 3: 81 milliliters
Option 4: 108 milliliters

1 Answer

5 votes

Final answer:

Using the density of aluminum (2.70 g/mL), we find that 81 grams of aluminum equals 30 milliliters of aluminum.

Step-by-step explanation:

To calculate the number of milliliters (mL) of aluminum the chemist has, we can use the density of aluminum, which is given as 2.70 grams per milliliter (g/mL).

We are given that the chemist has 81 grams of aluminum. To find out how many milliliters this corresponds to, we set up a ratio using the density:

Density = Mass / Volume
2.70 g/mL = 81 g / Volume
Volume = 81 g / 2.70 g/mL
Volume = 30 mL

Therefore, the chemist has 30 milliliters of aluminum.

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