Question

A 32.70-g sample of a solid is placed in a flask. Toluene, in which the solid is insoluble, is added to the flask so that the total volume of solid and liquid together is 49.00 mL . The solid and toluene together weigh 58.54 g . The density of toluene at the temperature of the experiment is 0.864 g/mL. What is the density of the solid?

Answer 1

Solution :-

Mass of solid = 32.70 g

Mass of solid+ tolune = 58.54 g

Volume of solid + tolune = 49.00 ml

Mass of tolune = 58.54 g – 32.70 g = 25.84 g

Now lets calculate the volume of the tolune using its density

Volume of tolune = mass / density

                             = 25.84 g / 0.864 g / ml

                             = 29.91 ml

Now lets calculate the volume of the solid

Volume of solid = total volume – volume of tolune

                          = 49.00 ml – 29.91 ml

                        = 19.09 ml

Now lets calculate the density of the solid

Density of solid = mass/ volume

                          = 32.70 g / 19.09 ml

                          = 1.713 g /ml

So the density of the solid = 1.713 g/ml