We can see from the details below that, the value of the solution's molality is 1.14 mol/Kg.
The term solubility has to do with the quantity of solute that is able to dissolve in a given quantity of solvent. We have the solubility of the sodium hydrogen carbonate in water at 20 degrees as 9.6 g/100 g h2o.
Number of moles of sodium hydrogen carbonate = 9.6 g/84 g/mol = 0.114 moles
Number of moles water = 100 g /18 g/mol = 5.55 moles
Mole fraction of sodium hydrogen carbonate is obtainable by the use of the relation;
0.114 moles/0.114 moles + 5.55 moles
= 0.02
Molality of the solution = 0.114 moles/0.1 Kg = 1.14 mol/Kg
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