A 11.7 m solution of the solute C2H5OH dissolved in the solvent chloroform is available. Calculate the mass ( kg ) of the solution that must be taken to obtain 2552 g of C2H5OH.
moles = grams/molar mass.
You have grams and molar mass. Calculate moles.
Then use m = moles/kg solvent. You know moles and m, calculate kg solvent.
To calculate the mass of the solution, you need to determine the mass of both the solute (C2H5OH) and solvent (chloroform) in the given concentration.
First, let's determine the mass of C2H5OH required to obtain 2552 g.
Given:
Mass of C2H5OH = 2552 g
Next, you need to find the mass of the solution required. The concentration of the solution is given as 11.7 m, which means there are 11.7 moles of C2H5OH per liter of solution.
To find the mass of C2H5OH in the given solution, you need to convert the moles of C2H5OH to grams using its molar mass. The molar mass of C2H5OH is calculated as follows:
C = 2 * Atomic mass of carbon (12.01 g/mol)
H = 6 * Atomic mass of hydrogen (1.01 g/mol)
O = 1 * Atomic mass of oxygen (16.00 g/mol)
Molar mass of C2H5OH = (2 * 12.01 g/mol) + (6 * 1.01 g/mol) + (1 * 16.00 g/mol)
= 46.07 g/mol
Now, you can calculate the mass of the solution using the formula:
Mass of solution = (Mass of C2H5OH / concentration of C2H5OH in solution)
Substituting the given values:
Mass of solution = (2552 g / 11.7 mol/L)
To complete the calculation, you need to convert liters to kilograms. The density of chloroform is about 1.49 g/mL. Since 1 L = 1000 mL:
Mass of solution = ((2552 g / 11.7 mol/L) * 1000 mL/L * 1.49 g/mL) / 1000
Now, you can calculate the mass of the solution required.