Ég hlusta á hlaðvarp á leiðinni í vinnu, því nýr þáttur kemur út á hverjum þriðjudegi.

Because að hlusta á is the normal Icelandic pattern for to listen to. The preposition á belongs with the verb here, so you cannot usually leave it out.

A lot of Icelandic verbs work this way: the verb and its preposition go together, and that preposition also helps determine the case of the following noun.

It is in the accusative singular because hlusta á takes an accusative object.

But hlaðvarp is a neuter noun, and for many neuter nouns the nominative and accusative singular look exactly the same. So even though the case has changed, the form stays hlaðvarp.

There is no separate word for the indefinite article a/an in Icelandic.

So:

• hlaðvarp can mean a podcast
• nýr þáttur can mean a new episode

Icelandic usually leaves indefinite nouns bare like this. Definiteness is often shown with a suffixed article instead.

Literally, it means something like on the way into work.

Idiomatic English says on the way to work, and that is the natural translation. In Icelandic, á leiðinni is a very common fixed expression for on the way.

Because leiðinni is the dative singular definite form of leið.

So:

• leið = way / route
• leiðinni = the way / the route in the dative

After á in this expression, Icelandic uses the dative, and the phrase is normally definite: á leiðinni = on the way.

í vinnu is a very common idiomatic expression meaning to work or to one’s workplace.

Here í expresses motion toward something, so it takes the accusative. The accusative singular of vinna is vinnu.

The differences are roughly:

• í vinnu = to work / to the workplace as a routine idea
• í vinnunni = at work
• í vinnuna can be used, but it sounds more like going into a specific, definite workplace rather than using the common general expression

Here því means because or for, introducing the reason.

It is not the dative pronoun því here, even though it looks the same. In this sentence, it functions as a conjunction.

Because this því behaves like a conjunction meaning because / for, and the clause after it keeps normal main-clause word order:

nýr þáttur + kemur út

So the subject comes before the verb, just as in an ordinary statement.

Because þáttur is:

• masculine
• singular
• nominative

The adjective has to match that, so nýr is the correct form.

It is also the strong adjective form, because the noun is indefinite:

• nýr þáttur = a new episode
• compare definite forms such as nýi þátturinn = the new episode

koma út literally means to come out, but with media it commonly means to be released, to be published, or to go live.

So:

• nýr þáttur kemur út = a new episode comes out
• very naturally: a new episode is released

This is the standard pattern for saying every Tuesday.

The structure is:

á hverjum + dative singular

So both words are in the dative:

• hverjum
• þriðjudegi

The whole phrase means on every Tuesday or more naturally every Tuesday.

Þriðjudagur is the dictionary form, the nominative singular.

In this sentence, the word is in the dative singular, so it becomes þriðjudegi.

That is required by the phrase á hverjum ..., which uses the dative.

Because Icelandic uses the simple present for habitual actions and regular events, just like English can.

So:

• Ég hlusta á hlaðvarp... = something the speaker regularly does
• nýr þáttur kemur út á hverjum þriðjudegi = something that happens repeatedly

If you wanted to emphasize something happening right now, Icelandic often uses vera að + infinitive, but that is not what this sentence is doing.