Question

A cup of metal beads was measured to have a mass of 925 grams. By water displacement, the volume of the beads was calculated to be 48.0 cm^3. Calculate the density of the unknown metal (D = m/v) and type the answer below with CORRECT UNITS.

a) 19.27 g/cm^3
b) 0.051 g/cm^3
c) 2.04 g/cm^3
d) 0.002 g/cm^3

Answer 1

The density of the unknown metal is 19.27 g/cm^3.

Step-by-step explanation:

The density of an unknown metal can be calculated by dividing its mass by its volume. In this case, the mass of the metal beads is given as 925 grams and the volume is given as 48.0 cm^3.

To calculate the density, we use the formula: Density = Mass/Volume. Plugging in the given values, we get: Density = 925 g / 48.0 cm^3.

Dividing these values gives us a density of approximately 19.27 g/cm^3.

To calculate the density of the unknown metal, we use the formula D = m/v, where D is density, m is mass in grams, and v is volume in cubic centimeters (cm3). The mass of the metal beads is given as 925 grams, and the volume calculated by water displacement is 48.0 cm3. Dividing the mass by the volume gives a density of 19.27 g/cm3, which is choice (a).