
entweichen
to leak
For gases, liquids, or air: to come out or flow out of a container or an enclosed space.
Aus dem undichten Reifen ist langsam die Luft entwichen.
Air slowly leaked out of the punctured tire.
to escape / to leak
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to leak
For gases, liquids, or air: to come out or flow out of a container or an enclosed space.
Aus dem undichten Reifen ist langsam die Luft entwichen.
Air slowly leaked out of the punctured tire.

to escape
For people or animals: to leave a place secretly or unnoticed; to flee. This usage is rather elevated or literary.
Dem Gefangenen gelang es, in der Nacht unbemerkt aus seiner Zelle zu entweichen.
The prisoner managed to escape from his cell unnoticed during the night.
'Entweichen' (to escape / to leak) is an inseparable verb with the prefix 'ent-'. The prefix remains firmly attached to the verb 'weichen' (to yield / give way) in all sentence forms and indicates movement 'away from something'.
Er bemerkte, dass Gas aus dem Ofen entwich.
He noticed that gas was escaping from the stove.
Since 'entweichen' (to escape / to leak) describes movement or a change of state, the perfect tense is always formed with the auxiliary verb 'sein' (to be). The past participle is 'entwichen'.
Die ganze Luft ist aus dem Ballon entwichen.
All the air has leaked out of the balloon.
To indicate the place of origin from which something escapes or leaks, the preposition 'aus' (from / out of) with the dative is almost always used.
Rauch entwich aus dem Schornstein.
Smoke escaped from the chimney.
The meaning can easily be recognized from the subject. If it refers to gases, liquids, or air, it means flowing out or leaking. If it refers to people or animals, it means escape.
Aus der Flasche entwich ein seltsamer Geruch.
A strange smell escaped from the bottle.
When 'entweichen' (to escape) is used for people or animals, it often sounds elevated, literary, or official. It emphasizes secretly disappearing unnoticed.
Der Dieb entwich durch ein offenes Fenster in der Dunkelheit.
The thief escaped through an open window into the darkness.
to spread
Both words can be used for a smell that moves from a source into a room. „Entweichen“ emphasizes escaping from a container or enclosed space, while „verbreiten“ describes the smell's effect and distribution in the surrounding area. Choose the word according to which process is being emphasized.

Aus dem undichten Behälter entwich ein unangenehmer Geruch.
An unpleasant smell escaped from the leaky container.
Der Geruch der Suppe verbreitet sich schnell in der ganzen Wohnung.
The smell of the soup quickly spread throughout the apartment.