A sample of metal has a mass of 23.4 g and a volume of 3.0 cm^. What is the sample’s most likely identify?
A. Aluminum (2.8 g/cm^3)
B. Gold (19.3 g/cm^3
C. Iron (7.8 g/cm^3)
D. Copper (8.9 g/cm^3)
To determine the sample's most likely identity, we need to calculate its density first.
Density is defined as the mass divided by the volume: Density = Mass/Volume.
Given:
Mass = 23.4 g
Volume = 3.0 cm^3
Using the formula, we can calculate the density of the sample:
Density = 23.4 g / 3.0 cm^3 = 7.8 g/cm^3
Now, we compare the calculated density with the listed densities for each metal.
The metal with a density closest to the calculated density of 7.8 g/cm^3 is option C, Iron (7.8 g/cm^3).
Therefore, the most likely identity of the sample is Iron. Answer choice C is the correct answer.
To answer this question, we need to calculate the density of the metal sample using the formula:
Density = Mass / Volume
First, we'll input the given mass of the sample, which is 23.4 g. Then, we'll input the given volume, which is 3.0 cm^3. Finally, we'll divide the mass by the volume to find the density.
Density = 23.4 g / 3.0 cm^3
Simplifying the calculation, we get:
Density = 7.8 g/cm^3
Now, let's compare this calculated density with the densities of the given metals.
- Aluminum has a density of 2.8 g/cm^3, which is lower than the calculated density.
- Gold has a density of 19.3 g/cm^3, which is higher than the calculated density.
- Iron has a density of 7.8 g/cm^3, which is the same as the calculated density.
- Copper has a density of 8.9 g/cm^3, which is higher than the calculated density.
Since the calculated density matches the density of iron, the sample's most likely identity is C. Iron.