You want to determine the density of a compound but have only tiny crystal, and it would be difficult to measure mass and volume accurately. There is another way to determine density, however called the flotation method. If you placed the crystal in a liquid whose density is precisely that of the substance, it would be suspended in the liquid, neither sinking to the bottom of the beaker nor floating to the surface. However, for such an experiment, you would need to have a liquid with the precise density of the crystal. You can accomplish this by mixing two liquids of different densities to create a liquid having the desired density a a Consider the following: you mix 7.30 mL of CHCI3 (d = 1.492 g/mL) and 8.90 mL of CHBT3 (d = 2.890 g/mL) giving 16.2 mL of solution. What is the density of this mixture? Density = g/mL

Respuesta :

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