Answer:
2.26g/mL
Explanation:
Given parameters:
Volume of CHCl₃ = 7.3mL
Density of CHCl₃ = 1.492g/mL
Volume of CHBT₃ = 8.9mL
Density of CHBT₃ = 2.89g/mL
Unkown:
Density of the mixture = ?
Solution
Density can be defined as the mass per unit volume of substance. It is usually expressed using the equation below:
Density = [tex]\frac{mass}{volume}[/tex]
For the given liquids, the volumes are known but we do not know their masses:
To derive the mass, we simply make mass the subject of the formula in the density equation.
Mass of the liquid = Density of liquid x volume
mass of CHCl₃ = 7.3 x 1.492 = 10.89g
mass of CHBT₃ = 8.9 x 2.89 = 25.72g
Now to calculate the density of the mixture:
Density = [tex]\frac{mass of CHCl_{3} + mass of CHBT_{3} }{Volume of CHCl_{3} + volume of CHBT_{3} }[/tex]
Density of mixture = [tex]\frac{10.89 + 25.72}{7.3 + 8.9}[/tex] = 2.26g/mL