Paragraph: Reactions which take place in two or more steps are called as sequential or consecutive reactions. Consider the reaction given below X K₁ Y K₂ Z where K ₁ K ₂ . The initial concentration of X is [ X ₀ ] and after time t the concentrations of X, Y and Z are respectively X_t, Y_t and Z_t . Initially only X is present in the reaction vessel and all reactions are elementary (use 5=0.7 and e=2.7 ) Question: If

Step-by-step solution

aligned & [ X _ t ]= [ X ₀ ] e ^ - K ₁ t & [ Y _ t ]= [ X ₀ ] ( K ₁ ~K ₂- K ₁ ) ( e ^ - K ₁ t - e ^ - K ₂ t ) & [ Z _ t ]= [ X ₀ ] 1- 1 ( ~K ₂- K ₁ ) ( K ₂ e^ - K ₁ t - K ₁ e^ - K ₂ t ) & t _ = K ₂- _ K ₁ ~K ₂- K ₁ for (14) & 5 0.4 =4 & t _ = ( K ₂ ~K ₁ ) K ₂- K ₁ for (15) aligned aligned & t _ =4 ~min & dY dt = K ₁[X]- K ₂[ Y ]=0 & [ Y _ ]= K ₁ ~K ₂ [ X _ t ]=5 [ X _ t ]= [ X ₀ ] e ^ - K ₁ t & =5[1] e ^ -0.5 4 & =0.67 M aligned