Thermochemistry Formula Sheet:
1st Law of Thermodynamics:          Internal Energy:
Endothermic: 𝑞 = +                                            ∆𝑼 = 𝑞 + 𝑊
Exothermic: 𝑞 = −
Work Done By/On a Gas:
                                                              𝑾 = −𝑃∆𝑉
Work done by the system: 𝑊 = −
Work done on the system: 𝑊 = +                         1 𝐿 ∗ 1 𝑎𝑡𝑚 = 101.3 𝐽𝑜𝑢𝑙𝑒𝑠
Specific Heat Capacity: 𝑱⁄(𝒈 ℃)
                                                                       𝑞
                                                               𝑪𝑺 =
                                                                      𝑚∆𝑇
Molar Heat Capacity: 𝑱⁄(𝒎𝒐𝒍 ℃)
                                                                        𝑞
                                                               𝑪𝑴 =
                                                                       𝑛∆𝑇
Heat Capacity: 𝑱⁄℃
                                                                        𝑞
                                                                𝑪𝑯 =
                                                                       ∆𝑇
Calorimetry – Temperature Change:
                                                               𝒒 = 𝑚𝑐∆𝑇
                                                      𝐽                    𝐽                     𝐽
                                      𝐶𝐻2𝑂 = 4.184          𝐶𝐼𝑐𝑒 = 2.09         𝐶𝑆𝑡𝑒𝑎𝑚 = 2.03
                                                     𝑔℃                   𝑔℃                    𝑔℃
Calorimetry – Phase Change:
                                                  𝒒 = 𝑚∆𝐻                      𝒒 = 𝑛∆𝐻
                                    H2O:     ∆𝐻𝑓𝑢𝑠 = 334 𝐽⁄𝑔              ∆𝐻𝑓𝑢𝑠 = 6.01 𝑘𝐽⁄𝑚𝑜𝑙
                                    H2O:     ∆𝐻𝑣𝑎𝑝 = 2260 𝐽⁄𝑔             ∆𝐻𝑣𝑎𝑝 = 40.7 𝑘𝐽⁄𝑚𝑜𝑙
Final Temperature of a Mixture:
                                                               −𝑞𝐴 = 𝑞𝐵
TA → Initial Temp. of Substance A
TB → Initial Temp. of Substance B                −𝑚𝐴 𝐶𝐴 (𝑇𝐹 − 𝑇𝐴 ) = 𝑚𝐵 𝐶𝐵 (𝑇𝐹 − 𝑇𝐵 )
                                    Note: This equation will work if there are no phase changes.
Coffee Cup Calorimeter:
                                                              𝑞𝑟𝑥𝑛
                                                  ∆𝑯𝒐 𝒓𝒙𝒏 =               𝑞𝑟𝑥𝑛 = −𝑞𝐻2𝑂
                                                               𝑛
Enthalpy Change:
                                       ∆𝑯𝒐 𝒓𝒙𝒏 = ∑ 𝑛 𝐻 𝑜𝑓 (𝑝𝑟𝑜𝑑𝑢𝑐𝑡𝑠) − ∑ 𝑛 𝐻 𝑜𝑓 (𝑟𝑒𝑎𝑐𝑡𝑎𝑛𝑡𝑠)
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