<u>Answer:</u> The density of the metal is 10.60 g/mL and the volume occupied by 86.0 grams is 8.11 mL
<u>Explanation:</u>
To calculate the density of unknown metal, we use the equation:
......(1)
Volume of unknown metal = 19.8 mL
Mass of unknown metal = 210.0 g
Putting values in equation 1, we get:
![\text{Density of unknown metal}=\frac{210.0g}{19.8mL}\\\\\text{Density of unknown metal}=10.60g/mL](https://tex.z-dn.net/?f=%5Ctext%7BDensity%20of%20unknown%20metal%7D%3D%5Cfrac%7B210.0g%7D%7B19.8mL%7D%5C%5C%5C%5C%5Ctext%7BDensity%20of%20unknown%20metal%7D%3D10.60g%2FmL)
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 = 86.0 g
Putting values in above equation, we get:
![10.60g/mL=\frac{86.0g}{\text{Volume of unknown metal}}\\\\\text{Volume of unknown metal}=8.11mL](https://tex.z-dn.net/?f=10.60g%2FmL%3D%5Cfrac%7B86.0g%7D%7B%5Ctext%7BVolume%20of%20unknown%20metal%7D%7D%5C%5C%5C%5C%5Ctext%7BVolume%20of%20unknown%20metal%7D%3D8.11mL)
Hence, the density of the metal is 10.60 g/mL and the volume occupied by 86.0 grams is 8.11 mL