Question

When a 25.00 mL volumetric flask weighing 20.340 g is filled partially with metal shot the mass is 119.691 g. The flask is then filled to the 25.00 mL mark with methanol (d = 0.791 g/cm3) and has a total mass of 130.410 g. What is the density of the metal?

Answer 1

Answer:

8.7 g/ml

Explanation:

We now that we can calculate the density using the equation d= m/v

d stand for density

m stands for mass

V stands for volume

Take in mind:

volumetric flask + metal = 119.691 g

volumetric flask has a capacity of 25 ml, so

25ml = volume of metal + volume of ethanol

• Now we calculate mass and volume of the metal:

mass of the metal= mass of flask with metal - mass of the volumetric flask

mass of the metal = 119.691 g - 20.340 g = 99.351

• Now, in order to obatin de volume of the metal we use the data of the solvent (ethanol).

g solvent= g flask with metal and ethanol - g of flask with metal.

g solvent= 130.410 g - 119.691 g = 10.719 g of ethanol.

ml sovent = $10.719 g ethanol(\frac{1 cm^3}{0.791 g ethanol})= 13.55 cm^3$ or 13.55 ml of ethanol

volume of the metal = 25 ml - 13.55 ml of ethanol = 14.45 ml of metal

• $d=\frac{m}{v}= \frac{99.351 g}{11.45 ml}= 8.7 g/ml$