Question

When a piece of metal with a mass of 67.16 g is dropped into a graduated cylinder containing 22.09 mL of water, the water level rises to 29.09 mL. What is the density of the metal? Answer in units of g/cm³.

a) 2.44 g/cm³
b) 2.70 g/cm³
c) 3.15 g/cm³
d) 3.50 g/cm³

Answer 1

To find the density of the metal, the formula used is density = mass / volume. The metal's mass is 67.16 g and the volume displaced is 7 mL. The calculated density is 9.594 g/mL, which does not match the given options, indicating a potential error.

Step-by-step explanation:

To determine the density of a piece of metal, we can use the formula density (p) = mass (m) / volume (V). In the case of the metal dropped into a graduated cylinder, we take the mass of the metal and divide it by the change in water level, which is the volume of the metal. Given the mass of the metal is 67.16 g and the volume of water displacement is 29.09 mL - 22.09 mL = 7.00 mL, the density of the metal is calculated as follows:

Density = Mass / Volume

Density = 67.16 g / 7.00 mL

Density = 9.594 g/mL

Note: The aforementioned value appears to be inconsistent with the options given (a through d), suggesting a possible error in the provided values or options.