# FORMULARI CINÈTICA QUÍMICA (2016)

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 Universidad Universidad de Girona (UdG) Grado Biotecnología - 3º curso Asignatura Kinetics Profesor M.D. Año del apunte 2016 Páginas 3 Fecha de subida 27/10/2017 Descargas 1 Puntuación media Subido por cbc

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REACTION RATES Elementary reaction A ν = k [A]υ Complex reaction B C [B] υ [C]υ A 1 d [A] v =− u A dt ν=k FIRST ORDER REACTION dt Mean lifetime t1 = =   − k [A] 1 [A] = [A]0 e 2 4 Mean lifetime =   − k [A] 2 [A] = t1 = 2 [A]0 4 SECOND ORDER REACTION dt If 2 Mean lifetime  [A] =  [B]0 0 t1 = [A]0 2 1 + kt[A] 0 [A]0 ([A]0 − [B]0) [A]0 − k [B] A t [B]0 e ( 0[ ]0) 1 k[A] 0 t 3 = 3 t 1 4  [A] >  [B]0 or  [A] <  [B]0 0 0 [A] = 0 d [B] = − k [A][B] dt [B] = [A] = If k[A] A+B!P Reaction rate = 1 t 3 = 3 t 1 1 + k t[A] 0 d [A] 2 A!P Reaction rate dt ln2 k t 3 = 2 t 1 −kt SECOND ORDER REACTION d [A] B C n [C] [B]n A!P Reaction rate d [A] [A]n [A] = 2 2 [A]0 ([A]0 − [B]0) [A]0 − [B]0 e k([B]0[A] )t 1   0 2 ZEROTH ORDER REACTION !" = −& ' !# ! = ! # − % #& DEPENDANCE ON TEMPERATURE Arrehnius equation Ea k = Ae − RT Ea = E′ + m RT E′ k =  aT me − RT COMPLEX REACTIONS Reversible reactions d[A] dt =   − k1[A] + k−1([A] − [A]) 0 d[B] =  k1[A] − k−1([B]) dt [A] = k1[A] 0 k1 − K−1 + [B]∞ [A]∞ Equilibrium constant k−1[A] 0 k1 − K−1 =  e −(K1 + K−1)t K1 = keq K−1 − K +K t [A] = [A]∞ + ([A]0 − [A]∞)e ( 1 −1) Parallel reactions d[A] dt d[B] =  k1[A] dt d[C] dt − K +K t [A] = [A]0e ( 1 2) =   − k1[A] − k 2[A] [B] = [C] = =  k 2[A] k1[A] 0 k1 + k 2 k 2[A] 0 k1 + k 2 −(K1 + K2)t (1 − e ) −(K1 + K2)t (1 − e ) Consecutive reaction d[A] dt d[B] =  k1[A] − k 2[B] dt d[C] dt −K t [A] = [A]0e 1 =   − k1[A] =  k 2[B] [B] = k1[A] 0 K2 − K1 [C] = [A]0 − [A]0  (e −K1t −  e −K2t ) K2 − K1 (K2e −k1t −  K1e −K2t ) To determinate reaction order (unimolecular reaction) − d[A] 1 n 1−n 1−n = k [A]      →                 A − A = kt [ ] [ ] n ) dt n − 1( Dividing n = log t3 4 t1 2 t 3  / t 1 4 2 −1 +1 ...

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