A solution was prepared by dissolving 27.0 of KCl in 225 g of water?

A solution was prepared by dissolving 27.0 of KCl in 225 g of water?
a) Calculate the mole fraction of KCl in the solution.
b) Calculate the molarity of KCl in the solution if the total volume of the solution is 239 mL.
c)Calculate the molality o KCl in the solution

Doctorwho2013-03-15T18:36:33Z

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It always helps us to know whether you tried to work the problem and where you ran into difficulty.

First, I will assume that when you typed "27.0 of KCl " that you meant "27.0 g of KCl".

a) Calculate the mole fraction of KCl in the solution.

First, calculate the moles of all substances present in the mixture.

KCl: (27.0 g of KCl)/(74.5513 g/mol) = 0.3622 mol of KCl
H2O: (225 g of water)/(18.0153 g/mol) =12.4894 mol of H2O

Second, calculate the mole fraction of KCl.

mole fraction KCl = (mol KCl)/(total moles) = (mol KCl)/(mol KCl + mol H2O)
mole fraction KCl = (0.3622 mol of KCl)/(0.3622 mol of KCl + 12.4894 mol of H2O) = 0.3622/12.8516
mole fraction KCl = 0.0282

b) Calculate the molarity of KCl in the solution if the total volume of the solution is 239 mL.

molarity = moles/volume in liters
molarity of KCl = (0.3622 mol of KCl)/((239 mL)*(1 L/1000 mL))
molarity of KCl = 1.515 M (1.52 M to three sig figs)

c)Calculate the molality o KCl in the solution

molality = moles of solute/kg of solvent
molality of KCl = (0.3622 mol of KCl)/((225 g)*(1 kg/1000 g))
molality of KCl = 1.6096 m (1.61 m to three sig figs)