Questions: A chemistry student needs 50.0 mL of acetone for an experiment. By consulting the CRC Handbook of Chemistry and Physics, the student discovers that the density of acetone is 0.790 g · cm^-3. Calculate the mass of acetone the student should weigh out.
Be sure your answer has the correct number of significant digits.
Transcript text: A chemistry student needs 50.0 mL of acetone for an experiment. By consulting the CRC Handbook of Chemistry and Physics, the student discovers that the density of acetone is $0.790 \mathrm{~g} \cdot \mathrm{cm}^{-3}$. Calculate the mass of acetone the student should weigh out.
Be sure your answer has the correct number of significant digits.
$[g$ $\square$
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Solution
Solution Steps
Step 1: Identify the Given Values
The problem provides the following information:
Volume of acetone, \( V = 50.0 \, \text{mL} \)
Density of acetone, \( \rho = 0.790 \, \text{g/cm}^3 \)
Step 2: Convert Volume to Consistent Units
Since \( 1 \, \text{mL} = 1 \, \text{cm}^3 \), the volume in cubic centimeters is:
\[ V = 50.0 \, \text{cm}^3 \]
Step 3: Use the Density Formula to Find Mass
The formula for mass \( m \) is:
\[ m = \rho \cdot V \]
Substitute the given values:
\[ m = 0.790 \, \text{g/cm}^3 \times 50.0 \, \text{cm}^3 \]
Step 4: Perform the Calculation
\[ m = 0.790 \times 50.0 = 39.50 \, \text{g} \]
Final Answer
The mass of acetone the student should weigh out is:
\[
\boxed{39.50 \, \text{g}}
\]