The density of aluminum is 2.70g/cm3 and the density of chromium is 7.19g/cm3. If eual masses of aluminum and chromium are transferred to equal volumes of water in separate cylinders, which cylinder would have the greates volume change.

The easiest way to solve this problem is to assume some convenient mass, say 5 grams.

density = mass x volume and rearrange to
volume = mass/density.
volume Al = 5/2.70
volume Cr = 5/7.19
Draw conclusions from these data.

the Aluminum would have the greater change in volume because it is less dense

To determine which cylinder would have the greatest volume change, we need to compare the volumes of water displaced by equal masses of aluminum and chromium.

To calculate the volume change for each metal, we can use the formula:

Volume change = Mass of metal / Density of metal

1. Aluminum:
Given that the density of aluminum is 2.70 g/cm3, we can assume a mass of 1 gram (equal masses of aluminum and chromium). Plugging these values into the formula, we get:

Volume change for aluminum = 1 g / 2.70 g/cm3 = 0.37 cm3

2. Chromium:
Given that the density of chromium is 7.19 g/cm3, we can assume a mass of 1 gram (equal masses of aluminum and chromium). Plugging these values into the formula, we get:

Volume change for chromium = 1 g / 7.19 g/cm3 = 0.14 cm3

Comparing the volume changes, we can see that the volume change for aluminum (0.37 cm3) is greater than the volume change for chromium (0.14 cm3). Therefore, the cylinder with aluminum would have the greatest volume change.