Melting or boiling absorbs energy without any temperature rise — the latent heat. It often dwarfs the sensible heat on either side.
The latent heat is Q = m·L. where m is the mass and L the specific latent heat of the transition.
Multiply mass by the specific latent heat.
Boiling 5 kg of water takes far more energy than heating it — latent heat is why steam carries so much energy and why sweat cools so effectively.
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