An empty 25.00 ml volumetric flask has a mass of 20.550 g. when it is partially filled with metal pellets, the mass is 130.278 g. the flask is then filled to the mark with methanol (density = 0.7918 g/ml), and the total mass of the flask, metal, and methanol is 142.419 g. calculate the density of the metal pellets

11.347 g/mL is the density of the metal pellets.

Explanation:

The total mass of the flask, metal, and methanol  = M = 142.412 g

Mass of flask = 25.00 mL

Mass of flask and metal pellets = 130.278 g

mass of flask + mass of pellets = 130.270 g

M = mass of flask + mass of pellets + mass of methanol

142.412 g = 130.270 g + mass of methanol

Mass of methanol = 12.142 g

Volume of methanol = v

Density of the methanol = 0.7918 g/mL

Volume of the flask = V = 25 mL

Volume of the pellets = V'

V = V' + v

V'= V - v = 25 mL - 15.33 mL = 9.67 mL

Density of the metal pellets = d

Mass of the metal pellets = m

Mass of flask and metal pellets = 130.278 g

20.55 g + m = 130.278 g

m = 109.728 g

11.347 g/mL is the density of the metal pellets.