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Laws of Thermodynamics and Equilibria. Each object wishes to reach equilibrium with atmosphere. One gives off heat, the other absorbs it (until both objects and the atmosphere in the vacuum are the same temperature). Process of heat transfer achieved through Radiation.

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Q: Which method of heat transfer can take if two object at different temperatures are placed without touching each other in a vacuum?
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Which method of heat transfer can take place if two objects at different temperatures are placed without touching each other in a vaccum placed?

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