Question

How do the products of the reaction relate to the phenol red test and the splint test?

Answer 1

The question is vague, so I am giving a general answer about phenol red and splint glow techniques.

The phenol red indicator and a glowing splint are used to identify the gases. 

High levels of oxygen or carbon dioxide can be detected with a glowing splint.  If a glowing splint is placed into a volume of oxygen gas, it will reignite. If the splint is placed into a volume of carbon dioxide,  it will be extinguished.  In the air of the room, the splint will continue to glow for some time, and then go out.

Carbon dioxide dissolves in water and forms carbonic acid (H2CO3). The more CO2 in solution, the lower is the pH. This can be detected with a pH indicator like phenol red, which is red when neutral or basic and yellow when acidic.

Carbon dioxide – Phenol red indicator gives yellow and the glowing splint extinguishes

Oxygen – Phenol red indicator gives red and the glowing splint reignites

Exhaled breath – Phenol red indicator gives yellow and the glowing splint continues to glow

Air in the room – Phenol red indicator gives red and the glowing splint continues to glow