We add 54g of aluminum to a graduated cylinder containing 50mL of water. What will be the level of water in the cylinder after aluminum has been added?
use the density of Al to find the volume occupied by 54g
g ÷ gm/cm^3 = cm^3
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To determine the level of water in the graduated cylinder after adding aluminum, we need to consider the density and volume of aluminum added.
1. Find the volume of aluminum:
Since the density of aluminum is 2.7 g/mL, we can divide the mass of aluminum (54g) by its density to find its volume.
Volume of aluminum = mass of aluminum / density of aluminum
Volume of aluminum = 54g / 2.7 g/mL = 20 mL
2. Calculate the new total volume of the contents in the graduated cylinder:
The initial volume of water in the cylinder is 50 mL. By adding 20 mL of aluminum, the total volume will be:
Total volume = Initial volume of water + Volume of aluminum
Total volume = 50 mL + 20 mL = 70 mL
Therefore, the water level in the graduated cylinder will be at the 70 mL mark after adding 54g of aluminum.
To find the new level of water in the cylinder after adding aluminum, we need to consider the change in volume caused by adding the aluminum. The density of aluminum is approximately 2.7 g/mL, meaning 1 mL of aluminum has a mass of 2.7 grams.
First, we need to determine the volume of aluminum added. Given that we added 54 grams of aluminum, we can calculate the volume using the density:
Volume of aluminum = Mass of aluminum / Density of aluminum = 54 g / 2.7 g/mL = 20 mL
Since the aluminum takes up 20 mL of space, it displaces an equal volume of water in the cylinder. Therefore, the level of water in the cylinder after adding the aluminum will increase by 20 mL.
To find the new level of water in the cylinder, simply add the volume of water (50 mL) to the volume of aluminum displaced (20 mL):
New level of water = Initial level of water + Volume of aluminum displaced
= 50 mL + 20 mL
= 70 mL
Therefore, the level of water in the cylinder after adding the aluminum will be 70 mL.