Final answer:
To find the volume diethyl ether occupies, calculate the mass of chloroform using its volume and density, then divide this mass by the density of diethyl ether. The mass of chloroform occupies 645 mL; its mass is found to be 962.34 g. The same mass of diethyl ether would occupy 1347.68 mL or 1.34768 L.
Step-by-step explanation:
Understanding Volumes and Masses of Different Substances
To determine the volume diethyl ether would occupy, we first need the mass of the chloroform.
Using the density of chloroform (1.492 g/mL), we calculate the mass.
The volume of chloroform provided is 0.645 L, which is equivalent to 645 mL (since there are 1000 mL in 1 L).
Mass of chloroform = volume × density
= 645 mL × 1.492 g/mL
= 962.34 g.
Since the mass remains constant, we now find the volume that the same mass of diethyl ether would occupy using its density (0.714 g/mL).
Volume of diethyl ether = mass / density
= 962.34 g / 0.714 g/mL
= 1347.68 mL.
Therefore, 962.34 g of diethyl ether would occupy approximately 1347.68 mL or 1.34768 L.