Govt. Exams
Entrance Exams
Conversion X = (C_A0 - C_A)/C_A0 = (2 - 0.5)/2 = 0.75 or 75%.
Space-time τ = V/v₀ = 100/10 = 10 min.
In adiabatic reactors, Q = 0, so ΔT depends on heat of reaction (ΔH_r) and heat capacity of reactants.
At equilibrium, the net rate is zero because forward and reverse reaction rates are equal.
Overall order = sum of individual orders = 2 + 1 = 3.
For first-order reactions, t₁/₂ = 0.693/k, which is independent of initial concentration C₀.
Reaction order is determined by experimental data, not stoichiometry. The given orders are 2nd in A and 1st in B, so rate law is r = k[A]²[B].
For first-order: t₁/₂ = ln(2)/k = 0.693/k, which is independent of C₀ and inversely proportional to k.
Da = (residence time)/(characteristic reaction time) = kτC^(n-1). When Da >> 1, reaction is fast; Da << 1, reaction is slow.
RTD characterizes how long different fluid elements spend in a reactor and is fundamental to reactor design, independent of whether flow is laminar or turbulent.