Theory
The reaction is usually written as:

but this is an oversimplification. Some of the carbon is oxidised
to carbon dioxide and carbon monoxide and some of the sulphuric
acid is reduced to sulphur dioxide. There are probably other products.
Further Details
This demonstration is a spectacular warning of the danger of
handling concentrated sulphuric acid. Eye tissue is almost entirely
water.
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Extension
Glucose can be dehydrated in the same way, but it is a little
slower and there is a longer lag time before the reaction gets underway.
Safety
Wear eye protection.
Work in a fume cupboard because of the gases evolved.
The carbon 'sponge' can be a disposal problem. Place it in its beaker
in a large bowl of water and leave for some time to dilute any remaining
acid. Small quantities can be boken up with a gloved hand and flushed
down the sink. Larger amounts can be placed inside several sealed
plastic bags and placed in the dustbin.
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