Answer: The molality of solution is 0.66 mole/kg
Explanation:
Molality of a solution is defined as the number of moles of solute dissolved per kg of the solvent.
[tex]Molarity=\frac{n\times 1000}{W_s}[/tex]
where,
n = moles of solute
[tex]W_s[/tex] = weight of solvent in g
moles of [tex]K_2SO_4[/tex] = [tex]\frac{\text {given mass}}{\text {Molar Mass}}=\frac{58.0g}{174g/mol}=0.33mol[/tex]
Now put all the given values in the formula of molality, we get
[tex]Molality=\frac{0.33\times 1000}{500g}=0.66mole/kg[/tex]
Therefore, the molality of solution is 0.66 mole/kg