Question

23. In an experiment to determine the density of a lead using a density bottle, the following readings were obtained (a) Mass of empty density bottle = 13.2g (b) Mass of density bottle filled with water = 53.2g (c) Mass of a partially filled density bottle with lead shots only = 126.1g (d) Mass of density bottle with lead shots filled up with water = 166.lg Calculate iii) iv) v) Volume of water that fills the density bottle 40g Capacity of the density bottle Mass of lead shots 112.99 Volume of lead shots Density of lead (2 marks) (1 mark) (1 mark) (1 mark) (2 marks)​

Answer 1

Answer:To calculate the required values, we can use the formula for density: density = mass/volume.

i) Volume of water that fills the density bottle = mass of water/density of water

Mass of water = Mass of density bottle filled with water - Mass of empty density bottle = 53.2g - 13.2g = 40g

Density of water = 1g/cm³ (at room temperature and pressure)

Volume of water = 40g/1g/cm³ = 40cm³

ii) Capacity of the density bottle = Volume of water + Volume of lead shots

Volume of water = 40cm³ (calculated above)

Volume of lead shots = Volume of density bottle filled up with lead shots and water - Volume of water

Volume of density bottle filled up with lead shots and water = Mass of density bottle with lead shots filled up with water - Mass of empty density bottle

= 166.1g - 13.2g = 152.9g

Volume of lead shots and water = Volume of density bottle filled up with lead shots and water - Volume of water

Volume of lead shots and water = 152.9cm³ - 40cm³ = 112.9cm³

Assuming that the volume of water in the partially filled density bottle is negligible, we can take the volume of lead shots to be equal to the volume of the partially filled density bottle.

Capacity of the density bottle = Volume of water + Volume of lead shots = 40cm³ + 112.9cm³ = 152.9cm³

iii) Mass of lead shots = Mass of density bottle with lead shots filled up with water - Mass of density bottle filled with water

= 166.1g - 53.2g = 112.9g

iv) Volume of lead shots = Mass of lead shots/density of lead

Density of lead = 11.34 g/cm³ (at room temperature and pressure)

Volume of lead shots = 112.9g/11.34 g/cm³ = 9.96 cm³ (approximately)

v) Density of lead = Mass of lead shots/Volume of lead shots

Density of lead = 112.9g/9.96cm³ = 11.32 g/cm³ (approximately)

Therefore, the required values are:

iii) Mass of lead shots = 112.9g

iv) Volume of lead shots = 9.96cm³ (approximately)

v) Density of lead = 11.32 g/cm³ (approximately)

Step-by-step explanation: