Question

When a piece of metal mass of 54.52 g is dropped into a graduated cylinder containing 23.44 mL of water, the water level rises to 28.85 mL. What is the density of the metal? Answer in units of g/cm3

Answer 1

Answer:

Density = 10.01 g/cm³

Explanation:

The density of a substance can be found by using the formula

$Density = \frac{mass}{volume}$

From the question

mass of metal = 54.52 g

Volume of metal = new volume - original volume of water in the cylinder

That's

new volume = 28.85 mL

original volume of water = 23.44 mL

Volume of metal

= 28.85 - 23.44 = 5.41 mL

Next we convert the volume from mL to cm³

1 mL = 1 cm³

5.41 mL = 5.41 cm³

Substitute the values into the above formula and solve

That's

$Density = \frac{54.52}{5 .41} \\ = 10.07763$

We have the final answer as

Density = 10.01 g/cm³

Hope this helps you