A body of mass 20g
appears to have a mass of
13g in oil and 12g in water
what is the relative
density of oil.
it is getting 8 grams of bouyant force, so it must have a volume of 8ml in water.
In oil, it is getting 7 grams bouyant force, so
denity of oil=7/8 g/ml
relative density oil=7/8
Plz The Solution
To find the relative density of oil, we need to compare the density of oil to the density of water.
The formula for relative density is:
Relative Density = Density of Substance / Density of Reference Substance
In this case, the reference substance is water.
First, we need to find the density of the body in oil using the given information.
The mass of the body in oil is 13g.
Density = Mass / Volume
To find the volume, we need to know the density of the oil. Unfortunately, the information provided does not directly give us the density of oil. We can, however, find it indirectly by using the relationship between mass, volume, and density.
The mass of the body in oil is 13g, and the mass of the body is 20g. We can subtract the mass of the body in oil from the total mass to find the mass of the displaced oil.
Mass of Displaced Oil = Total Mass - Mass in Oil
Mass of Displaced Oil = 20g - 13g = 7g
Now, we can calculate the volume of the oil.
Density = Mass / Volume rearranges to Volume = Mass / Density
Volume of Oil = Mass of Displaced Oil / Density of Oil
Next, we need to find the density of water.
The mass of the body in water is 12g.
Using the same approach as before, we can find the volume of the water.
Volume of Water = Mass of Displaced Water / Density of Water
Since the body is fully submerged in both oil and water, the volume of the oil and the volume of the water should be the same.
Thus, we can equate the two volume equations:
Volume of Oil = Volume of Water
Mass of Displaced Oil / Density of Oil = Mass of Displaced Water / Density of Water
Now, we can rearrange the equation to solve for the density of the oil.
Density of Oil = (Mass of Displaced Oil / Mass of Displaced Water) x Density of Water
Density of Oil = (7g / 12g) x Density of Water
Finally, we can substitute the values given in the problem to find the relative density of oil.
Relative Density of Oil = Density of Oil / Density of Water
Therefore, to find the relative density of oil, we need to know the density of water, which is usually given as a known value.