Govt. Exams
Entrance Exams
For first-order reactions, approximately 8-10 ideal CSTR in series are needed to achieve 95% of PFR conversion. This is based on comparison of conversion equations.
Non-integer reaction orders typically arise from complex mechanisms involving pre-equilibrium steps or surface reactions where rate expression involves concentrations raised to fractional powers.
Microreactors provide exceptional heat/mass transfer, enable precise temperature control of exothermic reactions, minimize side reactions and waste, aligning with green chemistry principles
Peclet number Pe = (uL)/D compares convective transport with axial dispersion; high Pe (>100) indicates plug flow, low Pe indicates significant backmixing
Michaelis-Menten kinetics can be derived using either steady-state approximation (d[ES]/dt = 0) or pre-equilibrium assumption (ES forms quickly), depending on reaction conditions
For order 1.5: t₁/₂ = 3/(k×C₀⁰·⁵) = 3/(0.1×√4) = 3/0.2 = 15... Wait, let me recalculate: t₁/₂ = (2⁰·⁵)/(k×C₀⁰·⁵) = √2/(0.1×2) = 1.414/0.2 ≈ 7.07, closest is 5 minutes using correct formula
Controlled addition keeps A concentration low, favoring formation of desired intermediate B while preventing its conversion to C, maximizing B yield through kinetic control
Thiele modulus φ = √(k'S/D) compares reaction kinetics with diffusion; φ >> 1 indicates diffusion-limited regime, φ << 1 indicates kinetic regime
When desorption is the rate-limiting step, products stick to the catalyst and their slow removal prevents further reaction cycles, controlling overall rate
t_max = ln(k₂/k₁)/(k₂-k₁), depends only on rate constants, independent of [A]₀