10. The density of the rock is 2.89 g/mL.
11. The fluids will be layered as follows:
- Bottom: Fluid A (1.03 g/mL)
- Middle: Fluid C (0.9 g/mL)
- Top: Fluid B (0.79 g/mL)
Question 10: Density of the Rock
Given:
- Mass of empty graduated cylinder: 50 g
- Mass of graduated cylinder with 30 mL water: 120 g
- Mass of graduated cylinder with water and rock: 250 g
- Water level after adding rock: 75 mL
To find: Density of the rock
Solution:
i. Find the mass of the water:
- Mass of water = Mass with water - Mass of empty cylinder = 120 g - 50 g = 70 g
ii.. Find the volume of the rock:
- Volume of rock = Final water level - Initial water level = 75 mL - 30 mL = 45 mL
iii. Find the mass of the rock:
- Mass of rock = Total mass - Mass of water - Mass of cylinder = 250 g - 70 g - 50 g = 130 g
iv.. Calculate the density of the rock:
- Density = Mass / Volume = 130 g / 45 mL = 2.89 g/mL
Question 11: Layering of Fluids
Given:
- Fluid A: Mass = 2060 g, Volume = 2000 mL
- Fluid B: Mass = 672 g, Volume = 850 mL
- Fluid C: Mass = 990 g, Volume = 1100 mL
To find: How the fluids will be layered in a beaker
Solution:
i. Calculate the density of each fluid:
- Density of A = 2060 g / 2000 mL = 1.03 g/mL
- Density of B = 672 g / 850 mL = 0.79 g/mL
- Density of C = 990 g / 1100 mL = 0.9 g/mL
ii. Arrange the fluids in order of decreasing density:
- Fluid A: 1.03 g/mL
- Fluid C: 0.9 g/mL
- Fluid B: 0.79 g/mL
iii. Based on the densities, the fluids will layer with the densest fluid at the bottom and the least dense fluid at the top.
The fluids will be layered as follows:
- Bottom: Fluid A (1.03 g/mL)
- Middle: Fluid C (0.9 g/mL)
- Top: Fluid B (0.79 g/mL)