Answer: 0.44 mol/kg
Explanation:
Molality of a solution is defined as the number of moles of solute dissolved per kg of the solvent.
[tex]Molality=\frac{n\times 1000}{W_s}[/tex]
where,
n = moles of solute
[tex]W_s[/tex] = weight of solvent in g
Mass of solute [tex]CCl_4=Volume\times density=4.45ml\times 1.59g/ml=7.08g[/tex]
moles of solute =[tex]\frac{\text {given mass}}{\text {molar mass}}=\frac{7.08g}{153.82g/mol}=0.05moles[/tex]
Mass of solvent [tex]CH_2Cl_2=Volume\times density=85.1ml\times 1.33g/ml=113.2g[/tex]
Molality =[tex]\frac{0.05\times 1000}{113.2g}=0.44mol/kg[/tex]
Thus molality of solution will be 0.44 mol/kg.