The invention relates to a method for heating and cooling a working fluid (2) using at least one thermochemical heat accumulator medium (3), wherein the working fluid (2) is conducted through at least one thermochemical heat accumulator (6) comprising the heat accumulator medium (3), wherein the working fluid (2) is conducted in a non-contact manner to the heat accumulator medium (3), wherein upon charging of the heat accumulator medium (3) a heat flow (Q) is transferred from the working fluid (2) to the heat accumulator medium (3) and at least one substance (15) is released from the heat accumulator medium (3) and discharged from the heat accumulator (6), and wherein upon discharging of the heat accumulator medium (3) the substance (15) is fed with release of heat to the heat accumulator medium (3) or at least to a reaction product of the heat accumulator mediums (3) that was produced during charging of the heat accumulator mediums (3), and a heat flow (Q) is transferred to the working fluid (2).