Question

A student has samples of five different types of metal. She measures the mass and volume of each sample. The measurements she took are in the table.

Type of Metal Mass (g) Volume (cm3)
aluminum 14.6 5.4
iron 33.1 4.2
lead 35.2 3.1
magnesium 10.6 6.1
silver 47.2 4.5
The student also has another piece of metal. She knows it is the same type of metal as one of her other samples, but she doesn’t know which one it is. She finds that its mass is 33.5 grams and its volume is 3.2 centimeters3. What type of metal is the unknown sample?

A.
aluminum 2.70
B.
iron 7.87
C.
lead 11.34
D.
magnesium 1.74
E.
silver 10.49

Answer 1

Answer: The correct option is E.

Explanation: We are given few metals with their masses and volume.

Density is defined as the amount of mass that can be occupied in a given volume.

Mathematically,

$Density=\frac{Mass}{Volume}$

For any metal, the density will remain same.

• For Aluminium:

Mass = 14g

$Volume=5.4cm^3$

$Density=\frac{14.6}{5.4}=2.70g/cm^3$

• For Iron:

Mass = 33.1g

$Volume=4.2cm^3$

$Density=\frac{33.1}{4.2}=7.88g/cm^3$

• For Lead:

Mass = 35.2g

$Volume=3.1cm^3$

$Density=\frac{35.2}{3.1}=11.34g/cm^3$

• For Magnesium:

Mass = 10.6g

$Volume=6.1cm^3$

$Density=\frac{10.6}{6.1}=1.74g/cm^3$

• For Silver:

Mass = 47.2g

$Volume=4.5cm^3$

$Density=\frac{47.2}{4.5}=10.49g/cm^3$

• For Unknown metal:

Mass = 33.5g

$Volume=3.2cm^3$

$Density=\frac{33.5}{3.2}=10.47g/cm^3$

As the density of unknown metal matches the density of Silver metal. Hence, the unknown metal is the Silver metal.

So, the correct option is E.

Answer 2

Answer:

e

Explanation: