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 make use of the buoyancy principle and the given information.
1. Calculate the buoyant force on the sample in oil:
The buoyant force on an object submerged in a fluid is equal to the weight of the fluid it displaces. In this case, the weight of the fluid displaced is equal to the weight difference between the sample in air and the sample in oil.
Buoyant force = Weight in air - Weight in oil
Weight in air = mass in air * acceleration due to gravity = 0.240 kg * 9.8 m/s^2
Weight in oil = mass in oil * acceleration due to gravity = 0.208 kg * 9.8 m/s^2
Buoyant force = (0.240 kg * 9.8 m/s^2) - (0.208 kg * 9.8 m/s^2)
2. Calculate the volume of the sample:
The volume of the sample can be calculated using the relationship between buoyant force, volume, and density:
Buoyant force = Volume * Density of the fluid * acceleration due to gravity
Solving for volume:
Volume = Buoyant force / (Density of the fluid * acceleration due to gravity)
Substituting the given values:
Volume = Buoyant force / (800 kg/m^3 * 9.8 m/s^2)
3. Calculate the density of the sample:
Density = Mass / Volume
Substituting the given mass in air and the volume calculated in the previous step:
Density = 0.240 kg / Volume
To summarize, you need to calculate the volume using the buoyant force formula and then use the given mass in air and the calculated volume to find the density of the unknown sample. The density you mentioned, 0.240/800, is not the correct calculation for the density.