A small quantity of powdered charcoal is placed in a 100cm^3 density bottle and the total mass is measured to be 255 g. if the mass of empty bottle is 20 g and when the bottle is filled with water, the total mass is 289 g. What is the density of powdered charcoal?

Answer 1

First, we need to find the mass of the charcoal by subtracting the mass of the empty bottle from the total mass:
255 g - 20 g = 235 g

Next, we need to find the volume of the charcoal using the density bottle and water. The volume of water displaced by the charcoal is equal to the volume of the charcoal itself. The difference in mass when the bottle is filled with water is due to the mass of the charcoal. The mass of water displaced is 289 g - 20 g = 269 g.

So, the volume of the charcoal is 100 cm^3.

Now, we can calculate the density of the charcoal:
Density = Mass / Volume
Density = 235 g / 100 cm^3
Density = 2.35 g/cm^3

Therefore, the density of the powdered charcoal is 2.35 g/cm^3.