100 ml graduated cylinder containing 50 ml of water, drop 100g piece of brass into the water what height does the water rise in the graduated cylinder?
volume = mass/density
Look up the density of brass, substitute and solve for volume. mass is 100 g.
The add the volume of the brass to the volume of the water (50 mL) and that will be the new reading of the water level. I don't know what height that is; I'm assuming that means what volume reading that will be on the graduated cylinder.
To determine the height the water rises in the graduated cylinder after dropping a 100g piece of brass into it, we need to consider the concept of buoyancy and displacement.
Buoyancy is the force exerted on an object submerged in a fluid, such as water. It is responsible for making objects float or sink. When an object is dropped into a liquid, it displaces a certain volume of the liquid, which causes the liquid level to rise.
To find the rise in water level, we need to calculate the volume of the brass piece and then compare it to the volume of water displaced.
First, let's calculate the volume of the brass piece:
1. Determine the density of brass: The density of brass is approximately 8.4 g/ml.
2. Calculate the volume of the brass piece using the formula:
Volume = Mass / Density
Volume = 100g / 8.4 g/mL ≈ 11.9 mL
Since the volume of the brass piece is 11.9 mL, this is the amount of water that will be displaced once the brass piece is dropped into the graduated cylinder.
Now, let's calculate the final height of the water level:
1. Initial volume of water in the graduated cylinder is 50 mL.
2. Add the volume of water displaced:
Final Volume = Initial Volume + Volume of Brass
Final Volume = 50 mL + 11.9 mL = 61.9 mL
Therefore, the water level in the graduated cylinder will rise to 61.9 mL.