Answer :
The molality of the solution is 4.5 mol/Kg.
How can one determine molality?
M = moles of solute/kg of solvent is the formula for calculating molality. There are times when we need to apply additional formulas to reach the answer to a molality-related problem. We need to be aware of the density formula, which is d = m / v, where d stands for density, m for mass, and v for volume.
Molality is a method of calculating the concentration of a solution by comparing the moles of solute to the kilograms of solvent in which the solute is dissolved.
[tex]m=\frac{mol of solute}{Kg solvent}[/tex]
We first need to convert the given density of the solution from g/ml to kg/L by multiplying it with the conversion factors: [tex]$\frac{1 \mathrm{~kg}}{1000 \mathrm{~g}}$[/tex] and [tex]\frac{1000mL}{1L}[/tex]
[tex]\frac{1.34g}{1 mL}\times\frac{1 kg}{1000 g}\times \frac{1000 mL}{1 L}\\=1.34 kg/L[/tex]
If the molarity and density of a solution are given, we can calculate the molality (m) by dividing the molarity (M) by the density ρ.
[tex]$\begin{aligned}m &=\frac{\mathrm{M}}{\rho} \\m &=\frac{\frac{6.0 \mathrm{~mol}}{1 \mathrm{~L}}}{1.34 \mathrm{~kg} / \mathrm{L}} \\m &=4.5 \mathrm{~mol} / \mathrm{kg}\end{aligned}$[/tex]
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