Question

A piece of an unknown metal has a volume of 16.6 mL and a mass of 190.1 grams. The density of the metal is g/mL A piece of the same metal with a mass of 94.6 grams would have a volume of ml. Submit Answer

Answer 1

Answer: The density of the metal is 11.45 g/mL and the volume occupied by 94.6 grams is 8.26 mL

Step-by-step explanation:

To calculate the density of unknown metal, we use the equation:

`\text{Density of substance}=\frac{\text{Mass of substance}}{\text{Volume of substance}}` ......(1)

Volume of unknown metal = 16.6 mL

Mass of unknown metal = 190.1 g

Putting values in equation 1, we get:

`\text{Density of unknown metal}=(190.1g)/(16.6mL)\\\\\text{Density of unknown metal}=11.45g/mL`

The density of the metal remains the same.

Now, calculating the volume of unknown metal, using equation 1, we get:

Density of unknown metal = 11.45 /mL

Mass of unknown metal = 94.6 g

Putting values in above equation, we get:

`11.45g/mL=\frac{94.6g}{\text{Volume of unknown metal}}\\\\\text{Volume of unknown metal}=8.26mL`

Hence, the density of the metal is 11.45 g/mL and the volume occupied by 94.6 grams is 8.26 mL