Il y a encore un bocal à ranger et un paquet à ouvrir dans la cuisine.

Il y a is the fixed French expression for there is / there are.

It is impersonal:

• il does not refer to a real person or thing
• y roughly means there
• a comes from avoir

So French says il y a whether one thing or several things follow:

• Il y a un livre. = There is a book.
• Il y a deux livres. = There are two books.

That is why il y a stays the same in Il y a encore un bocal... et un paquet...

Here, encore means still or still left.

So the idea is that these are tasks that have not been done yet:

• un bocal à ranger = a jar still to put away
• un paquet à ouvrir = a package still to open

Be careful: encore can also mean again or another/more, depending on context. In this sentence, the most natural reading is still.

Because un is the masculine singular indefinite article, meaning a or an.

Both bocal and paquet are masculine singular nouns:

• un bocal
• un paquet

If you were talking about specific known items, you might use le instead:

• le bocal
• le paquet

So un here gives the idea of a jar and a package, not necessarily ones already clearly identified.

This is a very common French pattern:

noun + à + infinitive

It often means something to do with that noun or something that needs to be done to it.

So:

• un bocal à ranger = a jar to put away
• un paquet à ouvrir = a package to open

You can think of it as a shorter version of something like:

• un bocal qu'il faut ranger
• un paquet qu'il faut ouvrir

Other examples:

• une lettre à écrire = a letter to write
• du travail à finir = work to finish

Because à + infinitive here means to be dealt with / needing an action.

• un bocal à ranger = a jar to put away
• un paquet à ouvrir = a package to open

If you used pour, the meaning would usually change to for the purpose of:

• un bocal pour ranger des épices = a jar for storing spices

So:

• à ranger = that needs putting away
• pour ranger = used in order to store/tidy something

In this sentence, ranger most naturally means to put away or to put back in its proper place.

Depending on context, ranger can also mean:

• to tidy
• to arrange
• to organize

But here, with un bocal, the most natural idea is not to clean the jar, but to put it away somewhere in the kitchen.

Because each noun has its own infinitive phrase:

• un bocal à ranger
• un paquet à ouvrir

They are two separate mini-units joined by et.

This matters because the actions are different:

• the jar needs ranger
• the package needs ouvrir

If you said un bocal et un paquet à ouvrir, that would suggest that both the jar and the package are to open. So repeating à helps make the structure clear.

In normal reading, dans la cuisine most naturally gives the location for the whole situation, so it usually applies to both items.

In other words, the sentence is understood as:

• there is still a jar to put away and a package to open, and this is in the kitchen

That said, as in English, context can affect interpretation. If someone wanted to make the location extra clear, they could say:

• Dans la cuisine, il y a encore un bocal à ranger et un paquet à ouvrir.

That makes the kitchen clearly the setting for the whole sentence.

Because ranger and ouvrir are infinitives.

French infinitives do not agree for gender or number. They stay in the base form:

• ranger
• ouvrir

So even if the nouns changed, the infinitives would not:

• des bocaux à ranger
• des paquets à ouvrir

The noun can change, but the infinitive stays the same.

Yes, very often.

For example:

• Il reste un bocal à ranger et un paquet à ouvrir dans la cuisine.

This means something like There remains a jar to put away and a package to open in the kitchen.

The difference is mostly nuance:

• il y a encore = there is still...
• il reste = there remains...

Il reste can sound a little more focused on what is left to do, while il y a encore is a bit more neutral. Both are natural.