Question

A chemistry student needs 40.0 g of diethylamine for an experiment. By consulting the CRC Handbook of Chemistry and Physics, the student discovers that the -3 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.

Answer 1

The student should measure out approximately 57 cm³ of diethylamine to obtain 40.0 g, based on the given density of 0.706 g/cm³.

Step-by-step explanation:

To calculate the volume of diethylamine the student should pour out, we use the density formula:

Density (D) = mass (m) / volume (V)

To find the volume (V), we rearrange the formula:

V = m / D

Given that the mass (m) of diethylamine needed is 40.0 g and the density (D) is 0.706 g/cm³, we can calculate the volume (V) as follows:

V = 40.0 g / 0.706 g/cm³

V ≈ 56.66 cm³

Since the calculation is based on two significant figures for the density, the volume should also be reported with two significant figures:

V = 57 cm³ of diethylamine