A piece of metal weighing 20.32 grams is added to a flask with a volume of 24.5 cm3. It is found that 18.52 grams of water must be added to the metal to fill the flask. What is the density of the metal?
density = mass/volume = 20.32/volume
Volume is 24.5 cc - 18.52 cc (assume a density of 1.00 g/cc for H2O).
1.0936
To find the density of the metal, we need to use the formula:
Density = mass / volume
Given:
Mass of the metal = 20.32 grams
Volume of the flask = 24.5 cm3
To find the volume of the metal, we subtract the volume of water added to fill the flask:
Volume of the metal = Volume of the flask - Volume of water added
Volume of the metal = 24.5 cm3 - 18.52 cm3 = 5.98 cm3
Now we can calculate the density:
Density = Mass / Volume
Density = 20.32 grams / 5.98 cm3
Calculating this, we find that the density of the metal is approximately 3.396 grams/cm3.
To find the density of the metal, we need to divide its mass by its volume. Here are the steps to calculate it:
Step 1: Determine the mass of the metal
The given weight of the metal is 20.32 grams.
Step 2: Determine the volume of the metal
The volume of the metal is the same as the volume of water added to fill the flask, which is 18.52 grams.
Now we have both the mass and the volume of the metal, we can proceed to calculate the density.
Step 3: Calculate the density
Density is calculated by dividing the mass by the volume. Therefore, the density (D) is given by the formula:
Density = Mass / Volume
Plugging in the values we obtained:
Density = 20.32 grams / 24.5 cm^3
Finally, we can calculate the density by dividing 20.32 grams by 24.5 cm^3.
Density = 0.83 grams/cm^3
Therefore, the density of the metal is 0.83 grams/cm^3.