In an experiment, a student was asked to measure the desity of an unknown liquid

Question

In an experiment, a student was asked to measure the desity of an unknown liquid. He was given a small flask, which he found to have a mass of 32.6195 grams when empty. He filled the flask with water at 21.6 (0.997860 g/mL) degrees C and found the full flask to have a mass of 156.8995 grams. The student then emptied and dried the flask and then filled the flask with an unknown liquid. The mass of the flask filled with the unknown liquid was 134.2515 grams. Determine the volume of the flask and density of the unknown liquid.

Explanation / Answer

Answer – We are given, mass of empty flask = 32.6195 g ,

Mass of flask + water =156.8995 g , density of water = 0.997860 g/mL

Mass of flask + unknown liquid = 134.2515 g

Mass of water = Mass of flask + water – mass of empty flask

                       = 156.8995 g - 32.6195 g

                       = 124.2800 g

Density of water = mass of water / volume of water

So, volume of water = mass / density

                                 = 124.2800 g / 0.997860 g.mL-1

                                 = 124.5465 mL

So, volume of water = volume of flask = 125.5465 mL

Mass of unknown liquid = 134.2515 g -32.6195 g

                                  = 101.6320 g

So, density of unknown liquid = mass / volume

                                                 = 101.6320 g / 125.5465 mL

                                                  = 0.8160 g/mL

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