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CH7003 – Practice Problem Set 1

1. Q1. The following parallel reactions are known to occur (C _A is the concentration of A):

{" "} A  R r ₁ 10C _A ^0.5 Mole/ Lmin

{" "} A  S r ₂  5C _A Mole/ Lmin

{" "} A T r ₃  C _A ² Mole/ Lmin

Q2.The feed concentration is C_A0=10 mole/L. The volumetric flow rate is 1000L/min. T is the desired product.

• Find the optimum selectivity and the{" "} conversion at that point. What is the preferred reactor (PF or CSTR)?{" "}
• Find the optimum yield and the conversion at that yield. (Please use a graph paper){" "}
• Express r in terms of C_A and describe{" "} how you can graphically determine the volume of reactor needed.

2. Q3. CSTR and PFTR reactors are used in series for the reaction A 4B, r = kC_A ². The feed consists of 90 mol% A and 10mol% inert gas. A, B, and the inert gas can be regarded as ideal gases. v₀ = 5 liter/min, k = 1 liter/mole min, and C_A0 = 2 moles/liter. If the conversion after the first reactor is set at 50% and after the second reactor is set at 80%, how should you arrange the reactors to minimize the reactors’ total volume, and what should be the sizes of these two reactors?{" "}

3. A 100‐Litre CSTR is used for a reaction that follows a 2nd‐order rate law:

{" "} ‐r_a = kC_A0 ²(1‐X)²{" "}

where X is the conversion and C_A0 is the inlet concentration of the limiting reactant. A conversion of 75% is achieved in the CSTR. A PFR of the same volume is added in series to the CSTR to increase the conversion. Should it be added before or after the CSTR? What is the final conversion?{" "}

4. Three reactions occur in an isothermal batch reactor:

A —> B r₁=k₁C_A k ₁=0.40 h^‐1

A —> C + D r₂=k₂C_A k ₂=0.15 h^‐1

2A —> E r₃=k₃C_A k ₃=0.35 h^‐1{" "}

Given the following initial concentrations, what is reaction time needed for 90% conversion?

{" "} C_A0= 10 mol/L C_B0= 0 mol/L Cc ₀= 0.8 mol/L C_D0= 0.8 mol/L C _E0= 0.5 mol/L

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