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.

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. $[g$ $\square$ ${ }_{10}$
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Solution

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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: \[ \boxed{39.50 \, \text{g}} \]

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