How do we call a reaction where a substance burns in oxygen?

It's a combustion.

Combustions are part of what class of chemical reactions?

Combustions are oxidations

This reaction produces heat. It is an ... reaction.

exothermic

The white solid is Phosphorus (V) oxide. Formula?

In theory P2O5 ( In reality P4O10 ).

What is the meaning of the yellow color of bromothymol?

It means that P4O10 reacts with water to form an acid.

What is the formula of that acid? Describe it!

Phosphoric acid H3PO4. It is a colorless and water-soluble substance.

Write down the equations of the two observed reactions!

P4+5O2→ P4O10 P4O10+6H2O→ 4H3PO4