Question

The student then emptied the flask and dried it once again. To the empty flask she added pieces of a metal until the flask was about three-fourths full. She weighed the stoppered flask and its metal contents and found that the mass was 144.076 g. She then filled the flask with water, stoppered it, and obtained a total mass of 162.292 g for the flask, stopper, metal, and water. Find the density of the metal. a. To find the density of the metal we need to know its mass and volume. We can easily obtain its mass by the method of differences: Mass of metal = ___ g − ____ g = ___g

Answer 1

To calculate the density of the metal, its mass is found by subtracting the mass of the empty stoppered flask from the mass of the flask with the metal. The volume of the metal is found by water displacement, and the density is then mass divided by volume.

Step-by-step explanation:

To find the density of the metal, first, we calculate its mass. The mass of the stoppered flask with the metal is 144.076 g, and the mass of the empty stoppered flask is a value that was not provided in the question but is needed to proceed. Assuming this value is given, subtract it from 144.076 g to get the mass of the metal alone. Next, we calculate the metal's volume using water displacement. The total mass of the flask with the stopper, metal, and water is 162.292 g. The mass of the flask and stopper with just the metal was 144.076 g. The difference between these two masses gives the mass of the water that has been displaced by the metal, from which we can calculate volume since the density of water is 1.00 g/mL (1 g of water = 1 mL of water). Finally, density is mass divided by volume, which can be found using these calculations.