Receptionen öppnar halv åtta, men jag kan tidigast vara där kvart över åtta, så väntrummet är redan fullt.

In Swedish, halv åtta means halfway to eight, so it is 7:30.

This is a very common point of confusion for English speakers, because English half eight can mean 8:30 in some varieties of English. Swedish does not work that way.

A few examples:

• halv sju = 6:30
• halv åtta = 7:30
• halv nio = 8:30

So the Swedish system looks forward to the next hour.

Kvart över åtta means a quarter past eight or 8:15.

Breakdown:

• kvart = quarter
• över = over / past
• åtta = eight

Related time expressions:

• kvart över åtta = 8:15
• halv nio = 8:30
• kvart i nio = 8:45

Note that kvart i nio literally means quarter in/to nine, which is the Swedish way to say quarter to nine.

Swedish often uses the present tense to talk about scheduled or future events, just like English can do in sentences such as The train leaves at six.

So:

• Receptionen öppnar halv åtta = The reception opens at 7:30

This is natural Swedish. You could use a more explicit future form in some contexts, but here the simple present is the normal choice.

Receptionen is the definite form of reception, so it means the reception.

In context, it usually refers to the reception desk, the front desk, or the reception area/staff, depending on the situation.

Swedish nouns usually mark definiteness with a suffix:

• en reception = a reception
• receptionen = the reception

So instead of putting a separate word like the before the noun, Swedish often adds the definite ending directly to the noun.

Tidigast means at the earliest.

So jag kan tidigast vara där means I can be there at the earliest...

It comes from:

• tidig = early
• tidigare = earlier
• tidigast = earliest

In this sentence, tidigast works adverbially: it tells you the earliest possible time.

The word order is natural Swedish after the modal verb kan:

• jag kan vara där = I can be there
• jag kan tidigast vara där kvart över åtta = I can be there no earlier than 8:15

Because kan is a modal verb, and modal verbs in Swedish are followed by the bare infinitive.

So:

• kan vara = can be
• vill gå = want to go
• måste läsa = must read
• ska komma = will/is going to come

You do not say kan att vara.

This is similar to English, where we say can be, not can to be.

Because där means there as a place where someone is, while dit means to there / thereward, showing movement toward a destination.

Compare:

• Jag är där. = I am there.
• Jag kan vara där kvart över åtta. = I can be there at 8:15.
• Jag åker dit nu. = I’m going there now.

In the sentence, the speaker is talking about being at the place, not the motion of going there, so där is correct.

Here så means so or therefore.

It connects the result to what came before:

• the reception opens at 7:30
• I can only be there at the earliest at 8:15
• so the waiting room is already full

So så is acting as a connector showing consequence.

Väntrummet is the definite form, meaning the waiting room.

Breakdown:

• väntrum = waiting room
• väntrummet = the waiting room

The ending -et is the definite ending for many ett nouns.

So:

• ett väntrum = a waiting room
• väntrummet = the waiting room

Because fullt agrees with väntrummet, which is an ett noun.

In Swedish, adjectives often change form depending on the noun:

• en stol är full? — not natural with full, but as a grammar pattern: en-word adjectives often use the basic form
• ett rum är fullt = a room is full

Since väntrummet comes from ett väntrum, the adjective takes the -t form:

• väntrummet är fullt

So fullt is the correct neuter form of full here.

Redan means already, and in Swedish it often comes before the adjective or participle it modifies.

So:

• väntrummet är redan fullt = the waiting room is already full

This placement is very natural in Swedish. English does something similar:

• is already full

So the word order here is quite close to English.

Literally, fullt means full, but in this context it often implies full of people or crowded.

For a waiting room, väntrummet är fullt usually means there are no free seats or it is packed with people.

So while the literal meaning is full, the practical sense is often closer to:

• the waiting room is full
• the waiting room is crowded
• the waiting room is packed

Yes, this is normal. Swedish often links related ideas together with conjunctions like men and så.

Here the structure is:

• Receptionen öppnar halv åtta = first statement
• men = but
• jag kan tidigast vara där kvart över åtta = contrasting statement
• så = so
• väntrummet är redan fullt = result

So the sentence flows as a chain of connected ideas:

X happens, but Y is true, so Z is the result.

That kind of structure is very common in both Swedish and English.