A kemence a fazekasműhelyben van.

Because Hungarian uses the definite article before both noun phrases:

• a kemence = the kiln
• a fazekasműhelyben = in the pottery workshop

So both things are definite. This is normal in Hungarian.

Hungarian has two forms of the definite article:

• a before a consonant sound
• az before a vowel sound

Here:

• kemence starts with k, so a kemence
• fazekasműhelyben starts with f, so a fazekasműhelyben

If the next word started with a vowel, you would use az instead.

Because Hungarian very often builds compound nouns as a single word.

This one can be broken down like this:

• fazekas = potter
• műhely = workshop
• -ben = in

So fazekasműhelyben literally means something like in the potter-workshop.

English often uses separate words where Hungarian prefers one compound word.

-ban/-ben is the ending meaning in or inside.

Which form you use depends on vowel harmony:

• -ban after back-vowel words
• -ben after front-vowel words

Since műhely contains front vowels, the correct form is műhelyben.

Compare:

• házban = in the house
• műhelyben = in the workshop

That is a very common learner question, and the short answer is: yes, but not here.

In Hungarian, van is often omitted in third-person present tense sentences when you are simply describing or identifying something:

• A kemence nagy. = The kiln is big.
• Ez a kemence. = This is the kiln.

But with location or existence, van is usually kept:

• A kemence a műhelyben van. = The kiln is in the workshop.
• A műhelyben van egy kemence. = There is a kiln in the workshop.

So in this sentence, van is needed.

Yes, this is a very normal word order.

A neutral version is:

• A kemence = topic/what we are talking about
• a fazekasműhelyben = location
• van = is

Hungarian word order is more flexible than English word order, but changing it usually changes the emphasis.

For example:

• A kemence a fazekasműhelyben van. = neutral statement
• A fazekasműhelyben van a kemence. = stronger focus on where it is

So the sentence you were given is a standard, natural version.

Not really. This sentence is more naturally understood as The kiln is in the pottery workshop, because a kemence is definite: the kiln.

If you want There is a kiln in the pottery workshop, Hungarian would normally say:

• A fazekasműhelyben van egy kemence.

The difference is:

• a kemence = the kiln
• egy kemence = a kiln

So definiteness matters a lot here.

Kemence can mean a large oven or furnace-like structure, and in this context it most naturally means kiln.

So the pottery-workshop context is important. In a different context, kemence might suggest a traditional masonry oven rather than a pottery kiln.

It is not usually the ordinary everyday word for a standard kitchen oven.

A rough pronunciation guide:

• kemence ≈ KEH-men-tseh
• fazekasműhelyben ≈ FA-ze-kash-mű-hey-ben

A few useful pronunciation points:

• Stress is normally on the first syllable of each word.
• Hungarian c sounds like ts.
• Hungarian s sounds like sh.
• Hungarian sz sounds like English s.
• ű is a long front rounded vowel, similar to German ü, but held longer.
• In modern Hungarian, ly sounds like j/y.

So műhely is approximately mű-hey.

Then you would not use -ben. You would use -ba/-be, which means into.

Compare:

• a fazekasműhelyben = in the pottery workshop
• a fazekasműhelybe = into the pottery workshop

So:

• A kemence a fazekasműhelyben van. = The kiln is in the pottery workshop.
• Beviszik a kemencét a fazekasműhelybe. = They take the kiln into the pottery workshop.

This is an important Hungarian distinction:

• -ban/-ben = location inside
• -ba/-be = movement into