mass of an unknown sample is 0.240 kg in air and 0.208 kg when in oil of density=800 kg/m^3. Determine volume and density.

Is the density 0.240/800?

To determine the volume and density of the unknown sample, we need to use the concept of buoyancy.

First, let's determine the volume of the sample:
1. The mass of the sample in air is given as 0.240 kg.
2. Now, we need to find the mass of the sample when submerged in oil. The mass in oil is given as 0.208 kg.
3. The difference in mass between the sample in air and in oil is due to the buoyant force acting on the sample. This buoyant force is equal to the weight of the displaced oil.
4. The buoyant force can be calculated using the formula Fb = ρoil * g * V, where Fb is the buoyant force, ρoil is the density of oil, g is the acceleration due to gravity (approximately 9.8 m/s^2), and V is the volume of the sample submerged in oil.
5. To find the volume of the sample, we rearrange the formula: V = (mair - moil) / (ρoil * g), where mair is the mass of the sample in air and moil is the mass of the sample in oil.
V = (0.240 kg - 0.208 kg) / (800 kg/m^3 * 9.8 m/s^2)
V = 0.032 kg / (7840 kg*m^2/s^2)
V ≈ 0.000004082 m^3

Now, let's determine the density of the sample:
1. The density of an object is defined as the mass divided by the volume. Therefore, the density of the unknown sample can be calculated as:
Density = Mass / Volume
Density = 0.240 kg / 0.000004082 m^3
Density ≈ 58813 kg/m^3

So, the volume of the unknown sample is approximately 0.000004082 m^3 and the density is approximately 58813 kg/m^3.

Regarding your question, the density is not equal to 0.240/800. The formula you mentioned is for calculating the volume of an object using the relationship between density, mass, and volume (Density = Mass / Volume). To calculate the volume, we need to rearrange the formula (Volume = Mass / Density), as shown in the explanation above.