Water is placed in a graduated cylinder and the volume is recorded as 43.5 ml. a homogeneous sample of metal pellets with a mass of 10.88 g is added and the volume of the water now reads 49.4 ml. what is the density of the metal in g/ml.?

To find the density of the metal in g/mL, you'll need to use the formula for density, which is:

Density = Mass / Volume

Step 1: Determine the volume of the metal. To do this, subtract the initial volume of the water from the final volume of the water after the metal pellets are added: Volume of metal = Final volume - Initial volume Volume of metal = 49.4 mL - 43.5 mL Volume of metal = 5.9 mL

Step 2: Use the mass of the metal pellets provided (10.88 g) and the volume of the metal you just calculated to find the density: Density of metal = Mass of metal / Volume of metal Density of metal = 10.88 g / 5.9 mL Density of metal ≈ 1.84 g/mL

The density of the metal is approximately 1.84 grams per milliliter.

Extra: Density is an important property of materials and tells us how much mass is contained in a unit volume of the material. It's a fundamental concept in physics and chemistry, and it is particularly useful in identifying substances and understanding their properties.

For example, the density of water is 1 g/mL at 4°C, which is a standard reference used in many calculations. Objects with a density greater than 1 g/mL will typically sink in water, while those with a lower density will float. The concept of density also plays a crucial role in fields such as fluid mechanics, material science, and engineering.