Question

Find the density if the volume is 15 mL and the mass is 8.6 g. (5 pts)

Find the volume if the density is 2.6 g/mL and the mass is 9.7 g.(5 pts)
Find the mass if the density is 1.6 g/cm3 and the volume is 4.1 cm3 (5 pts)
Find the density if the initial volume of water is 12.8 mL, the final volume is 24.6 mL and the mass of the object is 4.3 g. Make a drawing to show the water displacement using a graduated cylinder. (gdoc, gdraw)

Answer 1

`\large \boxed{\text{0.57 g/mL; 3.7 mL; 6.6 g; 0.366 g/mL}}`

Step-by-step explanation:

1. Density from mass and volume

`\text{Density} = \frac{\text{mass}}{\text{volume}}\\\\\rho = (m)/(V)\\\\\rho = \frac{\text{8.6 g}}{\text{15 mL}} = \text{0.57 g/mL}\\\text{The density is $\large \boxed{\textbf{0.57 g/mL}}$}`

2. Volume from density and mass

`V = \text{9.7 g}*\frac{\text{1 mL}}{\text{2.6 g}} = \text{3.7 mL}\\\\\text{The volume is $\large \boxed{\textbf{3.7 mL}}$}`

3. Mass from density and volume

`\text{Mass} = \text{4.1 cm}^(3) * \frac{\text{1.6 g}}{\text{1 cm}^(3)} = \textbf{6.6 g}\\\\\text{The mass is $\large \boxed{\textbf{6.6 g}}$}`

4. Density by displacement

Volume of water + object = 24.6 mL

Volume of water = 12.8 mL

Volume of object = 11.8 mL

`\rho = \frac{\text{4.3 g}}{\text{11.8 mL}} = \text{0.36 g/mL}\\\text{The density is $\large \boxed{\textbf{0.36 g/mL}}$}`

Your drawing showing water displacement using a graduated cylinder should resemble the figure below.