Answer to Question #168227 in Mechanics | Relativity for JM.C

Question

What is the resulting density when you mix 5.0 L of ethyl alcohol and 12.0 L of water?

Answer 1

Density of ethyl alcohol = 0.789 g/mL

Density of water = 1.0 g/mL

$V_{e.a.} = 5000 \;mL \\ V_w = 12000 \;mL \\ V_{total} = 17000 \;mL \\ m_{e.a.} = 0.789 \times 5000 = 3945 \;g \\ m_w = 1.0 \times 12000 = 12000\; g \\ m_{total} = 3945 + 12000 = 15945 \;g$

The resulting density $= \frac{15945}{17000} = 0.938 \;g/mL$

Answer: 0.938 g/mL