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̅̅̅° + ℎ̅ − ℎ̅° ) = 𝑄̇ + 𝑊̇ ̅̅̅° ̅ ̅° 𝑄̇𝑒𝑛𝑡 + 𝑊̇𝑒𝑛𝑡 + ∑ 𝑛̇ 𝑟 (ℎ 𝑠𝑎𝑙 𝑠𝑎𝑙 + ∑ 𝑛̇ 𝑝 (ℎ𝑓 + ℎ − ℎ ) 𝑓 𝑟

𝑝

̅̅̅° + ℎ̅ − ℎ̅° ) = 𝑄 + 𝑊 + ∑ 𝑁 (ℎ ̅̅̅° + ℎ̅ − ℎ̅° ) 𝑄𝑒𝑛𝑡 + 𝑊𝑒𝑛𝑡 + ∑ 𝑁𝑟 (ℎ 𝑠𝑎𝑙 𝑠𝑎𝑙 𝑝 𝑓 𝑓 𝑟

𝑝

𝑄 − 𝑊 = ̅̅̅ ℎ𝑐° + ∑ 𝑁𝑝 (ℎ̅ − ℎ̅° )𝑝 − ∑ 𝑁𝑟 (ℎ̅ − ℎ̅° )𝑟 𝑄 − 𝑊 = 𝐻𝑝𝑟𝑜𝑑𝑢𝑐𝑡𝑜𝑠 − 𝐻𝑟𝑒𝑎𝑐𝑡𝑖𝑣𝑜𝑠 ̅̅̅° + ℎ̅ − ℎ̅° ) 𝐻𝑝𝑟𝑜𝑑𝑢𝑐𝑡𝑜𝑠 = ∑ 𝑁𝑝 (ℎ 𝑓

𝑝

̅̅̅° + ℎ̅ − ℎ̅° ) 𝐻𝑟𝑒𝑎𝑐𝑡𝑖𝑣𝑜𝑠 = ∑ 𝑁𝑟 (ℎ 𝑓

𝑟

̅̅̅° + ℎ̅ − ℎ̅° ) − ∑ 𝑁 (ℎ ̅̅̅° + ℎ̅ − ℎ̅° ) 𝑄𝑠𝑎𝑙 = ∑ 𝑁𝑟 (ℎ 𝑝 𝑓 𝑓 𝑟

𝑝

Sistemas cerrados ∆𝐸𝑠𝑖𝑠𝑡𝑒𝑚𝑎 = 𝐸𝑒𝑛𝑡𝑟𝑎𝑑𝑎 − 𝐸𝑠𝑎𝑙𝑖𝑑𝑎 Químicamente reactivo (𝑄𝑒𝑛𝑡𝑟𝑎𝑑𝑎 − 𝑄𝑠𝑎𝑙𝑖𝑑𝑎 ) + (𝑊𝑒𝑛𝑡𝑟𝑎𝑑𝑎 − 𝑊𝑠𝑎𝑙𝑖𝑑𝑎 ) = 𝑈𝑝𝑟𝑜𝑑𝑢𝑐𝑡𝑜𝑐𝑠 − 𝑈𝑟𝑒𝑎𝑐𝑡𝑖𝑣𝑜𝑠 𝑢̅ = ℎ̅ − 𝑃𝑣̅ ̅̅̅ 𝑢𝑓° + 𝑢̅ − 𝑢̅° = ̅̅̅ ℎ𝑓° + ℎ̅ − ℎ̅° − 𝑃𝑣̅ ̅̅̅° + ℎ̅ − ℎ̅° − 𝑃𝑣̅ ) − ∑ 𝑁 (ℎ ̅̅̅° + ℎ̅ − ℎ̅° − 𝑃𝑣̅ ) 𝑄 − 𝑊 = ∑ 𝑁𝑝 (ℎ 𝑟 𝑓 𝑓 𝑝

∆𝐻 = ∆𝑈 + 𝑊𝑏

𝑟

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