Apycnometer is a precisely weighted vessel that is used for highly accurate density determinations. suppose that a pycnometer has a mass of 27.60 g when it is empty and has a mass of 45.65 g when it is completely filled with water at 20 °c. a 9.5 g metal ingot is placed in the pycnometer. when it is then filled with water at 20 °c, the total mass is 56.83 g. if the density of water at 20 °c is 998.2 kg/m3, what is the density of the metal ingot in grams per cubic centimeter.

5.758  is the density of the metal ingot in grams per cubic centimeter.

Explanation:

1) Mass of pycnometer = M = 27.60 g

Mass of pycnometer with water ,m= 45.65 g

Density of water at 20 °C = d =

1 kg = 1000 g

Mass of water ,m'= m - M = 45.65 g -  27.60 g =18.05 g

Volume of pycnometer = Volume of water present in it = V

2) Mass of metal , water and pycnometer = 56.83 g

Mass of metal,M' =  9.5 g

Mass of water when metal and water are together ,m''= 56.83 g - M'- M

56.83 g - 9.5 g - 27.60 g = 19.7 g

Volume of water when metal and water are together = v

Density of metal = d'

Volume of metal = v' =

Difference in volume will give volume of metal ingot.

v' = v - V

Since volume cannot be in negative .

Density of the metal =d'

=