An aqueous solution contains three solutes. One liter contains: 0.200 moles of calcium chloride, 0.150 moles of magnesium chloride, and 0.750 moles of sodium chloride. How many grams of Cl are there per liter of this solution? a. 39.0 g b. 51.4 g c. 78.0 g d. 80.3 g e.103 g

mols CaCl2 = 0.2

mols Cl in CaCl2 = 2x that.

mols MgCl2 = 0.15
mols Cl in MgCl2 = 2x that.

mols NaCl = 0.75
mols Cl in NaCl = 1 x that.

total mols Cl = sum of Cl.

Then grams = mols x atomic mass.

To determine the grams of Cl in the solution, we need to find the molar mass of each solute and then calculate the total mass of Cl in the solution.

The molar mass of calcium chloride (CaCl2):
Calcium (Ca) = 40.08 g/mol
Chlorine (Cl) = 35.45 g/mol x 2 = 70.9 g/mol
Calcium chloride (CaCl2) = 40.08 g/mol + 70.9 g/mol = 111.98 g/mol

To convert moles of calcium chloride to grams of Cl:
0.200 moles CaCl2 x (2 moles Cl / 1 mole CaCl2) x (70.9 g Cl / 1 mole Cl) = 28.36 g Cl

The molar mass of magnesium chloride (MgCl2):
Magnesium (Mg) = 24.31 g/mol
Chlorine (Cl) = 35.45 g/mol x 2 = 70.9 g/mol
Magnesium chloride (MgCl2) = 24.31 g/mol + 70.9 g/mol = 95.21 g/mol

To convert moles of magnesium chloride to grams of Cl:
0.150 moles MgCl2 x (2 moles Cl / 1 mole MgCl2) x (70.9 g Cl / 1 mole Cl) = 21.27 g Cl

The molar mass of sodium chloride (NaCl):
Sodium (Na) = 22.99 g/mol
Chlorine (Cl) = 35.45 g/mol
Sodium chloride (NaCl) = 22.99 g/mol + 35.45 g/mol = 58.44 g/mol

To convert moles of sodium chloride to grams of Cl:
0.750 moles NaCl x (1 mole Cl / 1 mole NaCl) x (35.45 g Cl / 1 mole Cl) = 26.58 g Cl

Total grams of Cl in the solution:
28.36 g Cl + 21.27 g Cl + 26.58 g Cl = 76.21 g Cl

Therefore, there are approximately 76.21 grams of Cl per liter in this solution. None of the options provided match this value, so none of the given options are correct.

To determine the grams of Cl in the solution, we need to consider the molar mass of each compound and the number of moles of Cl in each compound.

First, let's calculate the moles of Cl in each compound:
- Calcium chloride (CaCl2) has one Cl atom per formula unit, so the moles of Cl in calcium chloride is 0.200 moles.
- Magnesium chloride (MgCl2) also has one Cl atom per formula unit, so the moles of Cl in magnesium chloride is 0.150 moles.
- Sodium chloride (NaCl) has one Cl atom per formula unit, so the moles of Cl in sodium chloride is 0.750 moles.

Next, let's calculate the molar mass of Cl:
- The molar mass of Cl is 35.45 g/mol.

To calculate the grams of Cl in the solution, we add up the grams of Cl from each compound:
Grams of Cl = (moles of Cl in calcium chloride x molar mass of Cl) + (moles of Cl in magnesium chloride x molar mass of Cl) + (moles of Cl in sodium chloride x molar mass of Cl)

Grams of Cl = (0.200 moles x 35.45 g/mol) + (0.150 moles x 35.45 g/mol) + (0.750 moles x 35.45 g/mol)

Grams of Cl = 7.09 g + 5.32 g + 26.59 g

Grams of Cl = 38.00 g

Therefore, there are 38.00 grams of Cl per liter of this solution.

So, the correct option is a. 39.0 g.