Calculate the mass ( kg ) of the solute C4H8O and the volume ( mL ) of the solvent C6H6 that should be combined to generate 6450 g of a solution that is 2.07 m C4H8O.
Density (kg/l)
C4H8O 0.8892
C6H6 0.8786
I wonder if you know the implications of this problem? A solution that is 2.07 m in the solute in which the SOLVENT is 6450 g is easy enough to do. But if you want the total solution (solvent + solute) to weigh 6.45 kg, that's another ball game.
m = moles/kg solvent
2.07 = moles/6.45
moles = 2.07 x 6.45 = 13.35 moles, then
moles x molar mass C4H8O = grams of the solute needed. You can go through the densities to calculate the volume. But this gives a mass of the solvent equal to 6.45 kg and not a total mass of 6.45 kg.
To calculate the mass of the solute C4H8O and the volume of the solvent C6H6 needed to generate the given solution, we can use the formula:
Mass of solute = Volume of solution * Molarity of solute * Molar mass of solute
Volume of solvent = Volume of solution - Volume of solute
First, let's find the mass of the solute C4H8O:
Given:
Molarity of C4H8O = 2.07 m
Mass of solution = 6450 g
We need to convert the concentration from molarity (mol/L) to moles per kilogram (mol/kg). To do this, we need to know the density of the solvent C6H6.
Given:
Density of C6H6 = 0.8786 kg/L
Molarity is defined as the number of moles of solute divided by the volume of solution in liters. So, the concentration in moles per kilogram is found by multiplying the molarity by the density of the solvent:
Concentration of C4H8O = Molarity of C4H8O * Density of C6H6
Concentration of C4H8O = 2.07 mol/L * 0.8786 kg/L
Now we have the concentration of C4H8O in moles per kilogram. We can use this concentration, along with the mass of the solution, to calculate the mass of the solute:
Mass of solute = Mass of solution * Concentration of C4H8O
Mass of solute = 6450 g * (2.07 mol/L * 0.8786 kg/L)
Now, let's find the volume of the solvent C6H6:
Volume of solution = Mass of solution / Density of solution
Since the density of the solution is not given, we can assume it is equal to the density of the solvent.
Density of solution = Density of C6H6 = 0.8786 kg/L
Volume of solution = 6450 g / 0.8786 kg/L
Finally, to calculate the volume of the solvent:
Volume of solvent = Volume of solution - Volume of solute
Now you can substitute the values into the equations above to find the mass of the solute C4H8O and the volume of the solvent C6H6.