If a solution is made by mixing 50.0 moles of KOH to 3.4 kilograms of water, what is the solutions molality?

To find the molality of a solution, you need to know the moles of solute (in this case, KOH) and the mass of the solvent (in this case, water). The molality (m) is defined as the moles of solute per kilogram of solvent.

In this case, you are given that there are 50.0 moles of KOH and 3.4 kilograms of water. So, the moles of solute (KOH) is 50.0 mol and the mass of the solvent (water) is 3.4 kg.

To calculate the molality, you can use the formula:

molality (m) = moles of solute (KOH) / mass of solvent (water) in kg

Plugging in the values, you get:

molality (m) = 50.0 mol / 3.4 kg

Now, divide the moles by the mass to find the molality:

m ≈ 14.71 mol/kg

Therefore, the molality of the solution is approximately 14.71 mol/kg.