Final answer:
To determine the masses of solute and solvent in a 0.530 m KBr solution with a total mass of 61.0 g, calculate the moles of KBr using molality, convert to grams, and subtract from the total mass.
Step-by-step explanation:
To find the masses of solute and solvent in a 0.530 m aqueous solution of KBr with a total mass of 61.0 g, you first need to understand the definition of molality (m), which is moles of solute per kilogram of solvent. The formula is given by:
molality (m) = moles of solute / mass of solvent in kg
Here, we have the molality (0.530 m) and the total mass of the solution (61.0 g). According to the formula:
0.530 m = moles of KBr / (mass of solvent in kg)
Molar mass of KBr = 119.0 g/mol
To find the moles of KBr:
moles of KBr = molality × mass of solvent in kg
To find the mass of solvent (water in this case):
mass of solvent in kg = total mass of solution - mass of KBr
First, you need to calculate the moles of KBr using the molality and then convert those moles to grams using the molar mass of KBr. Afterwards, subtract the mass of KBr from the total mass to find the mass of the solvent.