What is the likely identity of a substance (see Table 10-1) if a sample has a mass of 16.0 g when measured in air and an apparent mass of 15.2 g when submerged in water?
Which of the following is it?
-copper
-gold
-lead
-aluminum
-iron or steal
-concrete
(Note: Can only select one)
i nutted
I assume table 10-1 lists the density of the materials in the list of possible metals.
density = mass in air/(mass in air-mass in H2O)= ?
Compare with the numbers in table 10-1
To determine the likely identity of the substance, we can use Archimedes' principle, which states that the buoyant force experienced by an object submerged in a fluid is equal to the weight of the fluid displaced by the object.
In this case, the apparent mass of the sample when submerged in water is 15.2 g. Therefore, the difference between the sample's mass in air and its apparent mass in water gives us the weight of water displaced.
The difference in mass is:
16.0 g - 15.2 g = 0.8 g
Since the density of water is 1 g/cm³, the volume of water displaced is 0.8 cm³.
To determine the likely identity of the substance, we can compare the volume of water displaced to the densities of the given substances in Table 10-1:
-copper: 8.92 g/cm³
-gold: 19.32 g/cm³
-lead: 11.34 g/cm³
-aluminum: 2.70 g/cm³
-iron or steel: 7.87 g/cm³
-concrete: varies depending on the composition
Since the volume of water displaced is 0.8 cm³, we can compare it to the densities of the substances in the table.
Based on the densities, the most likely identity of the substance is Aluminum. The density of aluminum is closest to the volume of water displaced (0.8 cm³).
To identify the likely identity of the substance, we can use the concept of buoyancy. When an object is submerged in a fluid, it experiences an upward force called buoyant force due to the difference in density between the object and the fluid.
To determine the identity of the substance, we need to compare the densities of the given options with the density of water. Density is defined as the mass of an object divided by its volume.
In this question, the sample has a mass of 16.0 g when measured in air and an apparent mass of 15.2 g when submerged in water. The difference in mass is due to the buoyant force acting on the sample.
Let's calculate the density of the sample using the following formula:
Density = Mass / Volume
Since we're comparing the mass in air with the mass in water, the volume remains the same. Therefore, we only need to compare the masses.
Density in air = Mass in air / Volume
Density in water = Mass in water / Volume
Now, let's compare the densities to identify the substance:
Copper: Density of copper is 8.96 g/cm^3.
Gold: Density of gold is 19.3 g/cm^3.
Lead: Density of lead is 11.3 g/cm^3.
Aluminum: Density of aluminum is 2.7 g/cm^3.
Iron or Steel: Density of iron or steel is around 7.9 g/cm^3.
Concrete: Density of concrete can vary, but generally, it is between 2.3 and 2.5 g/cm^3.
By comparing the densities with the measured mass in water, we can determine which substance is likely to be the answer.
You should calculate the density of the sample using the mass in air and the mass in water. Then compare this density to the densities of the given substances. The substance with the closest density to the calculated value is likely to be the answer.