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Entropy
based on notes
Term | Definition |
---|---|
state function | a mathematical function that depends only on the initial and final states of the system |
energy (equation) | ∆E = Ef - Ei |
∆E | change in energy of the system |
Ef | final energy of the system |
Ei | initial energy of the system |
enthalpy (equation) | ∆H = Hf - Hi |
∆H | change in enthalpy of the system |
Hf | final enthalpy of the system |
Hi | initial enthalpy of the system |
entropy (equation) | ∆S = Sf - Si |
∆S | change in entropy of the system |
Sf | final entropy of the system |
Si | initial entropy of the system |
Entropy | the measure of disorder (dispersal) present in a system, the extent of randomness in a system |
the Third Law of Thermodynamics | the entropy of a pure crystalline substance at absolute zero is zero; no disorder and no movement means no entropy |
the Second Law of Thermodynamics | for any spontaneous process, the entropy of the universe will increase; ∆S universe > 0 |
entropy of a phase change (equation) | ∆S phase change (in J/K) = ∆H phase change (in J) / T (in K) |
spontaneous change | a change that can occur without work being done to bring it about; can occur on its own; is irreversible |
nonspontaneous change | a change that can only be brought about by doing work |
∆S positive | entropy of system increased; ∆S > 0; Sf > Si |
∆S negative | entropy of system decreased; ∆S < 0; Sf < Si |
Gibbs Free Energy (equation) | ∆G = ∆H - T∆S |
∆G | change in Gibbs Free Energy of the system |
∆G<0 | ∆G is negative, reaction is spontaneous |
∆G=0 | reaction is at equilibrium |
∆G>0 | ∆G is positive, reaction is nonspontaneous |
temperature in Kelvins | always positive |
∆H>0 | ∆H is positive, reaction is endothermic |
∆H<0 | ∆H is negative, reaction is exothermic |
∆S>0 | ∆S is positive, entropy is increasing |
∆S<0 | ∆S is negative, entropy is decreasing |
⁻∆H, ⁺∆S | reaction is spontaneous at all temperatures |
⁻∆H, ⁻∆S | reaction is spontaneous only at low temperatures |
⁺∆H, ⁺∆S | reaction is spontaneous only at high temperatures |
⁺∆H, ⁻∆S | reaction is nonspontaneous at all temperatures |
When ∆G=0 | ∆S = ∆H/T |