chemistry

CHEMICAL KINETICS

1. aA + bB → cC + dD
   Rate of reaction = 
   dxdt
    = - 
   1a
    
   d[A]dt
    = - 
   1b
    
   d[B]dt
    = 
   1c
    
   d[C]dt
    = 
   1d
    
   d[D]dt
2. Rates Laws
   
   
   • Zero-Order reaction
     
     dxdt
      = k_o[A]^o     ∴ x = k_ot
   • First-Order reaction
     
     dxdt
      = k_o[A]¹     k₁ = 
     2.303t
      log₁₀ ( 
     aa - x
     )     ∴ [A] = [A]_o e^-kt
   • n^th-Order reaction
     
3. Half Life Period
   T_1/2 = 
   0.693k₁
    , for n = 1
   T_1/2 = 
   2^n-1 - 1( n - 1 ) k_n a^n-1
    , for n ≥ 2
4. Arhenius Equation
   k = A e ^{- E_a / RT}