One kilogram of pure ice starts at its melting point, about 0 degrees Celsius at one atmosphere. During ideal equilibrium melting, added heat changes the solid fraction into liquid without increasing temperature. With latent heat of fusion approximately 334 kJ/kg, Q=m_melted Lf; melting the full kilogram requires about 334 kJ. Tiles represent equal mass portions, not molecules or volume. The flat graph covers melting only: after all ice melts, further heat can raise liquid temperature. Heat losses, temperature gradients and kinetic effects are excluded. Original quantitative schematic, not an experiment.
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