You’ve never clutched hold of your morning coffee and found it hotter than when you poured it. That’s because heat flows only from higher temperature to lower temperature, and so your hot coffee transfers some of its heat to the cooler environment, causing the coffee’s temperature to decrease.12 For our large cloud of gas, heat also flows from the hot central core to the cooler surrounding shell. Now, I can’t fault you for thinking that this flow of heat will cool the core and warm the shell, bringing their temperatures closer together, much as heat transferred from your coffee to the air
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