If a solution is made by mixing 50.0 moles of KOH to 3.4 kilograms of water, what is the solutions molality?
M = # moles KOH / # kg solvent
M = 50.0 moles KOH / 3.4 kg
m = #mols solute/Kg solvent
To find the molality of a solution, you need to know the number of moles of the solute (in this case, KOH) and the mass of the solvent (in this case, water). The molality (m) is defined as the number of moles of solute per kilogram of solvent.
Given:
Number of moles of KOH (solute): 50.0 moles
Mass of water (solvent): 3.4 kilograms
To find the molality, you need to calculate the moles of solute per kilogram of solvent.
Step 1: Convert the mass of water from kilograms to grams.
3.4 kilograms = 3400 grams
Step 2: Calculate the molality.
molality (m) = moles of solute / mass of solvent (in kilograms)
m = 50.0 moles / 3.4 kilograms
m ≈ 14.71 mol/kg
Therefore, the molality of the solution is approximately 14.71 mol/kg.