Molality #("m")# is a way of indicating the concentration of a solute dissolved in a solution. It is calculated by dividing the moles of solute by the mass of the solvent in kg.
#"molality"=("moles solute")/("kg solvent")#
You have been given the masses of both the solute and the the solvent in grams. You will need to convert the mass of #"C"_6"H"_12"O"_6# to moles using its molar mass, and you will need to convert the mass of water from grams to kilograms.
Molar mass of #"C"_6"H"_12"O"_6# is #"180.15588 g/mol"#.
https://pubchem.ncbi.nlm.nih.gov/compound/5793#section=Top
Determine moles of #"C"_6"H"_12"O"_6"#:
#"mol solute"=150.0"g C"_6"H"_12"O"_6xx(1"mol C"_6"H"_12"O"_6)/(180.15588"g C"_6"H"_12"O"_6)=color(blue)("0.8326 mol C"_6"H"_12"O"_6")#
Convert mass of solvent from g to kg.
#600.0"g H"_2"O"xx(1"kg H"_2"O")/(1000"g H"_2"O")=color(red)("0.6000 kg H"_2"O")#
Calculate molality:
#"molality"=("moles solute")/("kg solvent")#
#"molality"=(color(blue)(0.8326"mol"))/(color(red)(0.6000"kg"))=color(purple)("1.388 mol/kg=1.388 m")#
