What is the difference between the heat transfer in the air and in the water?

I am terribly sorry for the late update.

It was my father's birthday.
We went the Baskin' Robbins 31 to order a bucket of ice cream.
Inside the bag, we found some solid carbon dioxide.
Such material sparked our curiosity.
We began our experiment right away.
Tools: Solid Carbon Dioxide, Cup, Water, Spoon

Procedure:
1. Get a cup of water and a spoon.
2. Add a block of solid carbon dioxide into the water.
3. Observe the evaporation.

Discussion:
What is the difference between the sublimation with water and the sublimation with air?
The sublimation in the water is very vigorous or strong compared to the sublimation in the air.
The sublimation in the air can be regarded as a heat transfer from the solid to gas.
However, the evaporation in the water can be regarded as a heat transfer from the solid to liquid.

The molecular density of in the air is less dense than that of the molecular density in the water. Here, the molecules can be regarded as a media for heat transfer.

I heard that the above heat transfer called as a convection heat transfer among 3 modes of heat transfer, conduction, convection and radiation.

Can you imagine yourself in a public bathtub?
If you see the thermometer in the Sauna room, it would be 80 deg Celsius or 170F.
However, you can endure the heat of the water.
This time, imagine yourself in a tub of water with temperature of 80 deg Celsius or 170F, (This condition is really dangerous, really dangerous so that you may be killed or hurt. It is really dangerous)

What is the difference between the two phenomena above?
The first one is similar with the situation the dry ice in the air and the second one is similar with the dry ice in the water.

Extra Experiment:
Can you make Sprite at home?

Tools: Previous Mixture, Sugar

Procedure:
1. Add a proper amount of sugar to the previously created mixture of solid carbon dioxide with water. 2. Take a little sip to the chemical. (The origin and the usage of the solid carbon dioxide was unknown. There are possibilities of it being poisonous.)

It did not taste as good as commercial Sprite at Wal-mart!