Answer: The correct answer is Option 4.
Explanation:
To calculate volume of a substance, we use the equation:
[tex]\text{Density of a substance}=\frac{\text{Mass of a substance}}{\text{Volume of a substance}}[/tex]
We are given:
Mass of sample = 100.5 g
Volume of sample = [tex]7.42cm^3[/tex]
Putting values in above equation, we get:
[tex]\text{Density of sample}=\frac{100.5g}{7.42cm^3}\\\\\text{Density of sample}=13.6g/cm^3[/tex]
The known density of the given metals are:
Density of lead = [tex]11.34g/cm^3[/tex]
Density of iron = [tex]7.87g/cm^3[/tex]
Density of gold = [tex]19.32g/cm^3[/tex]
Density of mercury = [tex]13.6g/cm^3[/tex]
The calculated density matches the given density of mercury.
Hence, the correct answer is Option 4.
