Calculating Molality and Mole Fraction for a 10% (by wt) Solution of KNO3

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SUMMARY

A 10% (by weight) solution of KNO3 has a calculated molality of 1.1 mol/kg and a mole fraction of 0.0194. The calculations were based on 1 g of KNO3 in a total solution weight of 10 g, leading to the determination of moles of KNO3 and water. The molality formula used was moles of KNO3 divided by the mass of water in kilograms, while the mole fraction was derived from the ratio of moles of KNO3 to the total moles in the solution.

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Homework Statement


A 10% (by wt) solution of KNO3 would have what molality and what mole fraction


Homework Equations


mole fraction = moles of KNO3/total moles
wt % = # g of solute/total g
molality = # moles KNO3/kg H2O


The Attempt at a Solution


1 g KNO3/10 g total
1 g KNO3/101.1 g/mol = .00989
9 g H2O/18 g/mol = .5 H20

.00989 mol KNO3 / (.00989+.5) = .0194 mole fraction
.00989 moles of KNO3 / .009 kg H20 = 1.1 M
 
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