What happens to the energy when the universe dies out?

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What happens to energy when the universe dies out? I understand how the law of conversation on energy works within a closed system(somewhat) but what about on the universal scale? If dark energy is accelerating planets outward isn't energy increasing or just staying proportionate?
 
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If you consider the universe as a closed system and consider the second and third laws of thermodynamics it will tend to go from a higher energy state to a lower one then I suspect the energy will be dissipated across the total expanse of spacetime.
 

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