What is the ratio of mass of soap obtained to mass of fat used? Is it greater or less than one? why ?

Show that 3, by calculating the change in volume V of a cube with sides of length L.

Dry air is primarily composed of nitrogen. In a classroom demonstration, a physics instructor pours 2.00 L of liquid nitrogen into a beaker. After the nitrogen evaporates, how much volume does it occupy if its density is equal to that of the dry air at sea level? Liquid nitrogen has a density of 808 kg/m3.

The average human has a density of 945 kg/m3 after in haling and 1 020 kg/m3 after exhaling. (a) Without making any swimming movements, what percentage of the human body would be above the surface in the Dead Sea (a body of water with a density of about 1 230 kg/m3) in each of these cases? (b) Given that bone and muscle are denser than fat, what physical characteristics differentiate sinkers (those who tend to sink in water) from floaters (those who readily float)?