Considering the definition of molality, the molality of the solution is 0.248 [tex]\frac{moles}{kg}[/tex].
Molality is a measure of concentration that is defined as the amount of a substance dissolved in a given mass of solvent.
In other words, molality is the ratio of the number of moles of any dissolved solute to kilograms of solvent.
The Molality of a solution is determined by the expression:
[tex]Molality=\frac{number of moles of solute}{kilograms of solvent}[/tex]
Molality is expressed in units [tex]\frac{moles}{kg}[/tex].
In first place, it is necessary to calculate the number of moles of solute (glucose) in the solution. Then, since the molar mass of glucose is 180 [tex]\frac{g}{mole}[/tex], that is, the amount of mass that a substance contains in one mole, the number of moles that 22.4 grams of the compound contains is calculated as:
number of moles of solute= 22.4 grams ×[tex]\frac{1 mole}{180 grams}[/tex]
number of moles of solute= 0.124 moles
On the other hand, it is necessary to calculate the kilograms of solvent present in the solution. For this, the density of water is 1 [tex]\frac{g}{mL}[/tex], which is defined as a quantity that allows you to measure the amount of mass in a given volume of a substance. Then, the amount of kilograms of solvent in 0.500 L= 500 mL (being 1 L=1000 mL) is calculated as:
kilograms of solvent= 500 mL× 1 [tex]\frac{g}{mL}[/tex]× [tex]\frac{1 kg}{1000 g}[/tex]= 0.5 kg
So, the molality of the solution is calculated as:
[tex]Molality=\frac{0.124 moles}{0.5 kg}[/tex]
Molality= 0.248 [tex]\frac{moles}{kg}[/tex]
Finally, the molality of the solution is 0.248 [tex]\frac{moles}{kg}[/tex].
Learn more about:
density:
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molality:
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