<u>Answer:</u> The density of the quartz is 2.68 g/mL
<u>Explanation:</u>
We are given:
Volume of graduated cylinder = 50.3 mL
Volume of quartz + graduated cylinder = 64.8 mL
Volume of quartz = [64.8 - 50.3] mL = 14.5 mL
To calculate the density of substance, we use the equation:
![\text{Density of substance}=\frac{\text{Mass of substance}}{\text{Volume of substance}}](https://tex.z-dn.net/?f=%5Ctext%7BDensity%20of%20substance%7D%3D%5Cfrac%7B%5Ctext%7BMass%20of%20substance%7D%7D%7B%5Ctext%7BVolume%20of%20substance%7D%7D)
Mass of quartz = 38.9 g
Volume of quartz = 14.5 mL
Putting values in above equation, we get:
![\text{Density of quartz}=\frac{38.9g}{14.5mL}\\\\\text{Density of quartz}=2.68g/mL](https://tex.z-dn.net/?f=%5Ctext%7BDensity%20of%20quartz%7D%3D%5Cfrac%7B38.9g%7D%7B14.5mL%7D%5C%5C%5C%5C%5Ctext%7BDensity%20of%20quartz%7D%3D2.68g%2FmL)
Hence, the density of the quartz is 2.68 g/mL