A 0.600 m aqueous solution of KBr has a total mass of 69.0 g. What masses of solute and solvent are present?
To find the masses of solute and solvent, we need to understand that the mass of the solution is the sum of the mass of the solute (KBr) and the mass of the solvent (water).
Given information:
Total mass of the solution (mixture) = 69.0 g
Concentration of the solution (solvent) = 0.600 m (moles of solute per liter of solution)
Let's assume the mass of the solute (KBr) is x g, and the mass of the solvent (water) is y g.
Now, we can write the equation for the total mass of the solution:
x g (mass of solute) + y g (mass of solvent) = 69.0 g (total mass of solution)
In addition, we can relate the concentration and the amount of solute with the mass of solute:
0.600 m (moles of KBr per liter of solution) = (x g / molar mass of KBr)
To find the masses of solute (x) and solvent (y), we need to know the molar mass of KBr. The molar mass of KBr can be found using the periodic table:
- Molar mass of K (Potassium) = 39.10 g/mol
- Molar mass of Br (Bromine) = 79.90 g/mol
So, the molar mass of KBr = (39.10 + 79.90) g/mol = 119 g/mol
Substituting these values back into the equation above, we get:
0.600 m = (x g / 119 g/mol)
Rearranging the above equation to solve for x (mass of KBr):
x g = 0.600 m x 119 g/mol
x g = 71.4 m
Since the total mass of the solution is 69.0 g, we can use this information to find the mass of the solvent:
x g (mass of solute) + y g (mass of solvent) = 69.0 g
71.4 m + y g = 69.0 g
y g = 69.0 g - 71.4 m
Therefore, the mass of the solute (KBr) is 71.4 m grams and the mass of the solvent (water) is (69.0 g - 71.4 m) grams.
To find the masses of solute (KBr) and solvent (water), we can follow these steps:
Step 1: Determine the concentration of the KBr solution.
The concentration is given as 0.600 m, which means there are 0.600 moles of KBr for every liter of solution.
Step 2: Calculate the number of moles of KBr.
Since we have the volume of the solution, we can calculate the moles of KBr using the equation:
moles = concentration x volume
Step 3: Convert moles of KBr to grams.
To convert moles to grams, we need to know the molar mass of KBr, which is the sum of the atomic masses of potassium (K) and bromine (Br) in one mole of KBr.
Step 4: Calculate the mass of solute (KBr).
Multiply the moles of KBr by the molar mass of KBr to find the mass of the solute.
Step 5: Calculate the mass of solvent (water).
The total mass of the solution is given as 69.0 g, so the mass of the solvent can be calculated by subtracting the mass of the solute from the total mass of the solution.
Let's calculate the masses of solute and solvent:
Step 1:
Given: Concentration = 0.600 m
Step 2:
Using the formula moles = concentration x volume, we need the volume of the solution. Unfortunately, we don't have this information. If you have the volume, please provide it, and I can proceed with the calculation.