På biblioteket er der mere arbejdsro, og derfor mister jeg ikke fokus så hurtigt.

Danish often moves a time or place phrase to the front when it wants to set the scene or emphasize it.

So:

På biblioteket er der mere arbejdsro ...

puts the focus on at the library first.

This is very natural in Danish. If you started more neutrally, you could also say:

Der er mere arbejdsro på biblioteket ...

Both are correct, but the original version gives extra attention to the location.

With places like biblioteket, Danish often uses på when talking about being at that institution as a place or setting.

So på biblioteket is the most natural choice for:

• at the library
• in the library context
• while being at the library

I biblioteket can also exist, but it sounds more literally physical, as in inside the building.

So the difference is often:

• på biblioteket = at the library, as a place/activity
• i biblioteket = inside the library building

This is the Danish way to say there is / there are.

So:

der er mere arbejdsro = there is more peace and quiet for working

In this sentence, the place phrase comes first:

På biblioteket er der ...

Because Danish is a verb-second language, the finite verb er must come before der when something else is placed first.

Compare:

• Der er mere arbejdsro på biblioteket.
• På biblioteket er der mere arbejdsro.

Both mean roughly the same thing.

Also, der here does not mean a real location like English there. It is a grammatical placeholder.

Because arbejdsro is an uncountable noun.

In Danish:

• mere = more, with uncountable things
• flere = more, with countable plural nouns

So:

• mere arbejdsro = more peace and quiet for working
• flere bøger = more books

Since arbejdsro is treated like a mass/abstract idea, mere is the correct word.

Arbejdsro is a compound noun:

• arbejde = work
• ro = calm, peace, quiet

Together, arbejdsro means something like:

• peace and quiet for working
• a calm environment to work in
• few distractions while working

It does not necessarily mean total silence. It is more about having the right calm atmosphere to concentrate.

Because Danish usually writes compound nouns as one word.

So:

• arbejdsro
• bibliotekskort
• arbejdsplads
• sommerferie

This is very common in Danish and often feels different to English learners, because English may write similar ideas as two words or with a hyphen.

Because Danish main clauses follow the verb-second rule.

When derfor is placed first, the finite verb must come next:

• Derfor mister jeg ikke fokus så hurtigt.

The order is:

1. derfor
2. mister
3. jeg

You cannot say:

• derfor jeg mister ... in a normal main clause

That would break the usual Danish word order.

In a Danish main clause, ikke usually comes after the finite verb and the subject.

So:

• Jeg mister ikke fokus.
• Derfor mister jeg ikke fokus.

In the second example, derfor comes first, so the verb moves before the subject:

• Derfor
  • mister
    • jeg
      • ikke

A useful comparison:

• Main clause: Jeg mister ikke fokus.
• Subordinate clause: ... fordi jeg ikke mister fokus.

So the position of ikke changes depending on clause type.

Because miste fokus is a very common abstract expression, much like English lose focus.

So Danish naturally says:

• miste fokus
• have fokus
• holde fokus

without an article.

If you added an article, it would usually sound more specific or less idiomatic.

Literally, så hurtigt means so quickly.

But in a negative sentence like this:

jeg mister ikke fokus så hurtigt

it often matches English:

• I do not lose focus as quickly
• I do not lose focus that quickly

So så is part of a very natural pattern with comparisons and degree.

Also, hurtigt means quickly, not soon.
If you used snart, the meaning would change.

Yes, absolutely.

That version is also correct and sounds natural.

The difference is mainly one of emphasis:

• På biblioteket er der mere arbejdsro ...
  emphasizes the library first

• Der er mere arbejdsro på biblioteket ...
  sounds a bit more neutral

Danish often changes word order like this to highlight different parts of the sentence while keeping the meaning almost the same.