Determining the Density of a Metal

Calculation of Metal Density

Given Data:

• Mass of empty flask and stopper = 64.232g
• Mass of flask filled with water = 153.617g
• Mass of flask, stopper, and metal = 143.557g
• Mass of water, flask, stopper, and metal = 226.196g

The first step is to calculate the mass of water and the mass of the metal by using the given data.

Calculations:

1. Mass of water = Mass of flask filled with water - Mass of empty flask and stopper

= 153.617g - 64.232g = 89.385g

2. Mass of metal = Mass of flask, stopper, and metal - Mass of empty flask and stopper

= 143.557g - 64.232g = 79.325g

3. Volume of water = Mass of water (since mass of water is equal to volume of water)

4. Volume occupied by metal = Volume of water in flask without metal - Volume of water in flask with metal

= 89.385 cm³ - 82.639 cm³ = 6.746 cm³

5. Density of metal = Mass of metal / Volume occupied by metal

= 79.325g / 6.746 cm³ = 11.76 g/cm³

Therefore, based on the calculations, the density of the metal is 11.76 g/cm³.