Final answer:
The density of the metal is calculated by dividing its mass (195 grams) by the volume of water displaced (25.0 mL), resulting in a density of 7.8 g/mL.
Step-by-step explanation:
The density of the metal can be calculated using the mass of the metal and the volume of water it displaces. To find the volume of the irregular piece of metal, subtract the initial water level from the final water level after the metal is submerged. The formula for density is mass divided by volume.
The initial volume of the water was 13.5 mL, and after submerging the metal, the final volume was 38.5 mL. Therefore, the volume displaced is 38.5 mL - 13.5 mL = 25.0 mL. The mass of the metal is given as 195 grams. Using the formula for density (density = mass/volume), the calculation for the density of the metal is 195 g / 25.0 mL = 7.8 g/mL.