
die Wärme
warmth / heat
The physical property that is felt as temperature; a state of high temperature as opposed to cold.
Die Wärme der Sonne auf der Haut fühlt sich gut an.
The warmth of the sun on your skin feels good.
warmth / heat
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warmth / heat
The physical property that is felt as temperature; a state of high temperature as opposed to cold.
Die Wärme der Sonne auf der Haut fühlt sich gut an.
The warmth of the sun on your skin feels good.

warmth
A feeling of affection, friendliness, and security in interpersonal interaction.
Sie wurde mit großer Herzlichkeit und Wärme in der Familie aufgenommen.
She was welcomed into the family with great cordiality and warmth.

heat
The energy produced by a heating system and released into a room for heating.
Im Winter müssen wir für die Wärme deutlich mehr bezahlen.
In winter, we have to pay significantly more for heat.
'Die Wärme' (warmth/heat) is the noun that belongs to the adjective 'warm' (warm). If something is warm, it has Wärme.
Ich mag die Wärme im Sommer, aber nur, wenn es nicht zu heiß ist.
I like the warmth in summer, but only when it isn't too hot.
'Wärme' (warmth/heat) is usually an uncountable noun. It is used in the singular, often without an article, to describe the general concept. The plural is very rare and is used only in technical contexts.
Der Mantel speichert die Wärme sehr gut.
The coat stores heat very well.
A distinction is made between physical and emotional Wärme (warmth). If the sentence refers to the sun, a stove, or heating, physical warmth/heat is meant. If it is about feelings, friendliness, or a person, the figurative, emotional meaning is intended.
Die Wärme des Kamins machte den Raum gemütlich.
The warmth of the fireplace made the room cozy.
In the emotional meaning, 'Wärme' (warmth) is often combined with adjectives such as 'menschlich' (human) or 'herzlich' (warm/cordial). Typical verbs are 'ausstrahlen' (to radiate), 'spüren' (to feel), or 'geben' (to give).
In schwierigen Zeiten braucht man menschliche Wärme.
In difficult times, people need human warmth.
temperature
Temperatur refers to the measurable value of a room, while Wärme describes a physically felt quality or pleasant effect. Both words can refer to the same room, but they emphasize different things. Use „Temperatur“ for the measured value and „Wärme“ for the feeling or effect.

Die Wärme im Wohnzimmer ist nach dem Einschalten der Heizung angenehm.
The warmth in the living room is pleasant after the heating is turned on.
Die Temperatur im Wohnzimmer liegt laut Thermometer bei 22 Grad.
According to the thermometer, the temperature in the living room is 22 degrees.