The metal in cylinder A is iron
The metal in cylinder B is nickel
The metal in cylinder C is zinc
The question as well as the diagram that completes the question is given in the attachment below
To identify the metals in each cylinder,
First, we will determine the volume of each of the metals.
(NOTE: A submerged object displaces a volume of liquid equal to the volume of the object)
∴ The volume of each metal will be the volume the metal displaces.
From the diagram,
The final volume in cylinder A = 28.2 mL
Initial volume = 25 mL
Volume of metal = 28.2 mL - 25 mL
Volume of metal = 3.2 mL
The final volume in cylinder B = 27.8 mL
Initial volume = 25 mL
Volume of metal = 27.8 mL - 25 mL
Volume of metal = 2.8 mL
The final volume in cylinder C = 28.5 mL
Initial volume = 25 mL
Volume of metal = 28.5 mL - 25 mL
Volume of metal = 3.5 mL
Now, we will determine the respective densities of the metals in each of the cylinders
From the formula,
[tex]Density = \frac{Mass }{Volume}[/tex]
From the question, the mass of each of the three unknown metals is 25.0 g
Mass of metal = 25.0 g
Volume of metal = 3.2 mL
∴ [tex]Density =\frac{25.0}{3.2}[/tex]
Density of the metal = 7.81 g/mL
Mass of metal = 25.0 g
Volume of metal = 2.8 mL
[tex]Density = \frac{25.0}{2.8}[/tex]
Density of the metal = 8.93 g/mL
Mass of metal = 25.0 g
Volume of metal = 3.5 mL
[tex]Density = \frac{25.0}{3.5 }[/tex]
Density of the metal = 7.14 g/mL
Now, to identify the metals in each cylinder, we will compare the given densities to the respective calculated densities of the metals in each cylinder.
From the question,
- zinc (7.14 g/ml)
∴ The metal in cylinder C is Zinc
-iron (7.87 g/ml) [relatively close to the density of the metal in cylinder A]
∴The metal in cylinder A is iron
- nickel (8.91 g/ml) [relatively close to the density of the metal in cylinder B]
∴The metal in cylinder B is nickel
Hence,
The metal in cylinder A is iron
The metal in cylinder B is nickel
The metal in cylinder C is zinc
Learn more here: https://brainly.com/question/12029244
