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183_notes:examples:an_electric_heater [2014/10/28 04:39] – created pwirving | 183_notes:examples:an_electric_heater [2014/10/28 13:59] (current) – pwirving | ||
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=== Lacking === | === Lacking === | ||
- | {\Delta E_{thermal} for the heater. | + | ${\Delta E_{thermal}}$ for the heater. |
Q, the energy transfer between the heater' | Q, the energy transfer between the heater' | ||
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=== Approximations & Assumptions === | === Approximations & Assumptions === | ||
- | + | Assume no other energy transfers. | |
=== Representations === | === Representations === | ||
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Surroundings: | Surroundings: | ||
- | Energy Principle: ${\Delta E_{sys}} = W + Q + other energy transfers$ | + | Energy Principle: ${\Delta E_{sys}} = W + Q$ + other energy transfers |
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ΔEthermal=ΔEsys=0 | ΔEthermal=ΔEsys=0 | ||
- | This is a steady-state situation. | + | This is a steady-state situation. This means that Esys = 0 and W = 0. |
- | ${\Delta E_{sys}} = W + Q + electric energy input$ | + | ${\Delta E_{sys}} = W + Q$ + electric energy input |
+ | |||
+ | Therefore, 0 is equal to the amount of energy that flows from the surroundings into the system, due to a temperature difference between the system and surroundings plus other energy transfers. | ||
0=Q+5000J | 0=Q+5000J | ||
+ | |||
+ | Solve for Q | ||
Q=−5000J | Q=−5000J | ||