Molality is a measure of concentration that relates the moles of solute to the kilograms of solvent, it is described by the following equation:
[tex]Molality=\frac{molSolute}{kgSolvent}[/tex]We are given the molality(2.50m) and kilograms of solvent(0.500kg), so we solve for moles of solute from the equation:
[tex]molSolute=Molality\times kgSolvent[/tex][tex]\begin{gathered} molSolute=2.50m\times0.500kg \\ molSolute=1.25molSolute \end{gathered}[/tex]To make a 2.50molal NaOH solution would be needed 1.25moles of solute
Answer: 1.25 moles