The mass of a length of metal wire is 45 g. When the wire is placed in a graduated
cylinder with water, it displaces 5 mL of water. What is the density of the metal?
A. 0.1 g/cm3
B. 9 g/cm3
C. 40 g/cm3
D. 225 g/cm3

Respuesta :

Answer:

The answer to your question is 9 g/ml or 9 g/cm³

Explanation:

Data

mass = 45 g

volume = 5 ml

density = ?

Process

1.- Consider that the volume displaced is equal to the volume of the wire.

2.- Write the formula to calculate the density

density = mass/volume

3.- Substitution

density = 45/5

consider milliliters and cubic centimeters are the same.

4.- Result

density = 9 g/ml or 9 g/cm³  

The mass of a length of metal wire is 45 g, when the wire is placed in a graduated cylinder with water it displaces 5 mL of water then the density of the metal is 9g/cm³.

How do we calculate density?

Density of any material will be calculated as:

Density = mass / volume

Given mass of wire = 45g

Volume of displaced water = 5mL

Volume of this displaced water is equal to the volume of wire, so the density will be calculated as:

Density = 45/5 = 9g/mL = 9g/cm³

Hence, option (B) is correct i.e. 9g/cm³.

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