Question

Why more serious burns are caused by steam than water at same temperature

Answer 1

Steam will produce more severe burns than boiling water because steam has more heat energy than water due to its latent heat of vaporisation. Steam and boiling water can exist at varying temperatures but it is only correct to assume here that both are at the same temperature .
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Answer 2

because steam has more heat energy than water due to its latent heat of vaporisation. 
steam comes into contact with skin at a lower temperature will undergo a phase change from vapour to liquid and this phase releases heat into the skin. then the steam which is now liquid cools down with additional heat transfer to the skin.

i hope this will help you dear