a metal object has a mass of 8.37g. when it was placed in a graduated cylinder containing 20.0ml of water, the water level rose to 23.1 ml. what is the density and identity of the metal?
8.37g/3.1cm^2 = 2.7 g/cm^3
Looks like aluminum to me.
To find the density of the metal, we can use the formula:
Density = Mass / Volume
First, let's calculate the volume of the metal by finding the difference between the water level before and after adding the metal.
Volume of water displaced = Final volume - Initial volume
Volume of water displaced = 23.1 ml - 20.0 ml
Volume of water displaced = 3.1 ml
Now, we can calculate the density of the metal:
Density = Mass / Volume
Density = 8.37 g / 3.1 ml
Calculating the density:
Density ≈ 2.7 g/ml
To determine the identity of the metal, we can compare the calculated density to known densities of metals. By referring to a periodic table or a density table, we can find that the closest match to a metal with a density of approximately 2.7 g/ml is aluminum (Al).
Therefore, the metal is likely to be aluminum.
To find the density of the metal and determine its identity, we can use the formula for density:
Density = mass / volume
Let's calculate the volume of the metal using the information provided. When the metal object was placed in the graduated cylinder containing water, the water level rose from 20.0 mL to 23.1 mL. This means that the metal displaced a volume of 23.1 mL - 20.0 mL = 3.1 mL.
Now, let's convert the volume of the metal to cubic centimeters (cc), as the mass is given in grams.
1 mL = 1 cc
Therefore, the volume of the metal is 3.1 cc.
Next, we will calculate the density. We are given the mass of the metal, which is 8.37g.
Density = mass / volume
Density = 8.37g / 3.1 cc
Calculating this value:
Density = 2.7 g/cc (rounded to the nearest tenth)
Now that we have the density of the metal, we can compare it to known densities of different metals to determine its identity. Here are the densities of some common metals:
- Aluminum: 2.7 g/cc
- Copper: 8.96 g/cc
- Iron: 7.87 g/cc
- Silver: 10.5 g/cc
- Gold: 19.3 g/cc
Based on the calculated density of 2.7 g/cc, the metal is most likely aluminum since its density matches the calculated value closely.