For every mole of potassium metal that reacts with two moles of water, approximately 359 kJ of heat are produced. This number was derived from a stoichiometric combustion analysis where 1 mole of K reacts with 2 moles of O2 from air to produce 1 mole of K2O and half a mole of water which has an enthalpy change of -864kJ/mol.
You may find other sources claiming different values but keep in mind they are not using the same conditions for their calculations such as different amounts of substances involved or environmental factors affecting the reaction like temperature and pressure at STP vs standard state conditions, etc... So I would stick with my answer unless otherwise stated under similar circumstances to ensure accuracy! If interested feel free ask me anything else related topic :D
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