Answer
59 g
Work Step by Step
Given: Molality= 1.0 mol/kg and
Mass of the solvent=950. g = 0.950 kg
Recall: Molality=$\frac{moles\, of\,solute}{mass\, of\, solvent\,in\,kg}$
$\implies$ moles of ethylene glycol=
Molality$\times$ mass of solvent in kg
$=1.0\,mol/kg\times 0.950\,kg=0.950\,mol$
Mass of ethylene glycol needed =
number of moles$\times$ molar mass
$=0.950\,mol\times 62.07\,g/mol=59\,g$