Questions: A chemistry student needs 35.0 g of diethylamine for an experiment. By consulting the CRC Handbook of Chemistry and Physics, the student discovers that the density of diethylamine is 0.706 g · cm^-3. Calculate the volume of diethylamine the student should pour out. Be sure your answer has the correct number of significant digits.

Solution Steps

• Mass of diethylamine needed: \(35.0 \, \text{g}\)
• Density of diethylamine: \(0.706 \, \text{g/cm}^3\)

The formula to calculate volume from mass and density is: \[ \text{Volume} = \frac{\text{Mass}}{\text{Density}} \]

Substitute the given mass and density into the formula: \[ \text{Volume} = \frac{35.0 \, \text{g}}{0.706 \, \text{g/cm}^3} \]

Calculate the volume: \[ \text{Volume} = 49.575 \, \text{cm}^3 \]

The mass \(35.0 \, \text{g}\) has three significant figures, so the volume should also be reported with three significant figures: \[ \text{Volume} = 49.6 \, \text{cm}^3 \]

Final Answer