The molar mass of the hydrocarbon is 138 g/mol.
We know that;
ΔT = K m i
K = boiling constant of acetone
m = molality of the solution
i = Van't Hoff factor
ΔT = 56.60°C - 55.95°C = 0.65°C
m = ΔT/K i
m = 0.65°C/1.71 °C/m × 1
m = 0.38 m
Now;
m = Number of moles of solute/ mass of solvent in kilograms
0.38 = 5.35/MM/0.1022
0.38 = 5.35/MM × 0.1022
0.38 × MM × 0.1022 = 5.35
MM = 5.35/0.38 × 0.1022
MM = 138 g/mol
Learn more about boiling point elevation: https://brainly.com/question/1453109