A 4.14 m solution of the solute methylene chloride dissolved in the solvent ethanol is available. Calculate the mass ( kg ) of the solution that must be taken to obtain 1487 g of methylene chloride.
CH2Cl2-1327 (kg/m^3)
C2H5OH-789.3 (kg/m^3)
m = molality = moles solute/kg solvent.
If we want 1487 g CH2Cl2, that is
1487 g x (1 mole/molar mass CH2Cl2) = ?? moles.
So how many kg must take of the solution to obtain ?? moles? I get something like 4 kg. I don't know why you have the density given.
To calculate the mass of the solution needed to obtain a specific amount of methylene chloride, we need to determine the volume of the solution and then convert it into mass.
1. Determine the volume of the solution:
We know that the concentration of methylene chloride in the solution is 4.14 m, which means there are 4.14 moles of methylene chloride dissolved in 1 liter of solution. To find the volume of the solution required to obtain a specific amount of methylene chloride, we use the equation:
volume (L) = amount of solute (mol) / concentration (mol/L)
Given that the amount of methylene chloride we want is 1487 g, we need to convert it to moles:
amount of solute (mol) = mass of methylene chloride (g) / molar mass of methylene chloride (g/mol)
The molar mass of methylene chloride (CH2Cl2) is the sum of the atomic masses of carbon (C), hydrogen (H), and two chlorine (Cl) atoms:
molar mass of CH2Cl2 = 12.01 g/mol + 2(1.01 g/mol) + 2(35.45 g/mol)
2. Calculate the moles of CH2Cl2:
moles of CH2Cl2 = 1487 g / molar mass of CH2Cl2 (g/mol)
3. Calculate the volume of the solution needed:
volume (L) = moles of CH2Cl2 / concentration (mol/L)
4. Convert the volume to mass:
To determine the mass of the solution, we multiply the volume by the density of the solution. The density of a solution is given by the formula:
density (kg/m^3) = mass of solution (kg) / volume of solution (m^3)
We can rearrange this equation to solve for the mass of the solution:
mass of solution (kg) = density (kg/m^3) * volume of solution (m^3)
First, we need to convert the volume (L) to the volume of the solution in cubic meters (m^3).
5. Convert volume to m^3 and calculate the mass of the solution:
volume (m^3) = volume (L) / 1000
mass of solution (kg) = density of solution CH2Cl2 + C2H5OH (kg/m^3) * volume (m^3)
Now, you can substitute the given values for the densities of methylene chloride and ethanol, and solve for the mass of the solution.