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We investigate the heating of an erupting prominence and loops associatedwith a coronal mass ejection and X-class flare. The prominence is seen inabsorption in EUV at the beginning of its eruption. Later the prominencechanges to emission, which indicates heating of the erupting plasma. We findthe densities of the erupting prominence using the absorption properties ofhydrogen and helium in different passbands. We estimate the temperatures anddensities of the erupting prominence and loops seen as emission features usingthe differential emission measure method, which uses both EUV and X-rayobservations from the Atmospheric Imaging Assembly on board Solar DynamicsObservatory and the X-ray Telescope on board Hinode. We consider syntheticspectra using both photospheric and coronal abundances in these calculations.We verify the methods for the estimation of temperatures and densities for theerupting plasmas. Then we estimate the thermal, kinetic, radiative loss,thermal conduction, and heating energies of the erupting prominence and loops.We find that the heating of the erupting prominence and loop occurs strongly atearly times in the eruption. This event shows a writhing motion of the eruptingprominence, which may indicate a hot flux rope heated by thermal energy releaseduring magnetic reconnection.

Heating of an erupting prominence associated with a solar coronal mass ejection on 2012 January 27