A piece of metal weighs 9.25 g in air, 8.20 g in water, and 8.36 g when immersed in gasoline.b) What is the density of the gasoline?

To find the density of the gasoline, we first need to find the volume of the metal and then use that to find the density of the gasoline.

Step 1: Find the volume of the metal The volume of the metal can be found using Archimedes' principle, which states that the buoyant force on an object is equal to the weight of the fluid displaced by the object. In this case, the weight of the water displaced by the metal is equal to the difference in the weight of the metal in air and in water.

Weight of water displaced = Weight of metal in air - Weight of metal in water = 9.25 g - 8.20 g = 1.05 g

Since the density of water is 1 g/cm^3, the volume of the water displaced (which is also the volume of the metal) is equal to the weight of the water displaced.

Volume of metal = Weight of water displaced / Density of water = 1.05 g / 1 g/cm^3 = 1.05 cm^3

Step 2: Find the density of the gasoline The density of the gasoline can be found using the formula:

Density = Mass / Volume

The mass of the gasoline displaced by the metal is equal to the difference in the weight of the metal in air and in gasoline.

Mass of gasoline displaced = Weight of metal in air - Weight of metal in gasoline = 9.25 g - 8.36 g = 0.89 g

So, the density of the gasoline is:

Density of gasoline = Mass of gasoline displaced / Volume of metal = 0.89 g / 1.05 cm^3 = 0.85 g/cm^3

So, the density of the gasoline is 0.85 g/cm^3.