What is the conversion - smaller catalyst particles are

Question

1. The elementary reaction A → B ↔ C is carried out isothermally at constant volume. The initial charge to the reactor is (C_A0 + C_B0) where C_B0 has the value of the equilibrium concentration (C_B0)eq, at time t = ∞ and at which C_A0 = 0. Thus, B starts and ends with the same concentration.

(a) What is the value of C_B0 IN TERMS OF REACTION RATE CONSTANTS AND C in order for the concentration of B to be the same at the beginning and end of the reaction,

(b) What is the condition relating the rate constants if C_B were to remain a constant throughout the course of the reaction? Consider k₁,and k₂ to be the sequence of forward rate constants, and k₃ to be the single reverse rate constant.

2. The reaction A → B + C is carried out in a packed bed reactor at 10 atm pressure with large catalyst particles(and thus negligible pressure drop) at a flow of 0.1 mol/s. The feed concentration is 10 mol/dm. The rate constant is 0.1111dm³s^-1kg^-1 at the at the reaction temperature.

(a) What is the conversion?

(b)Smaller catalyst particles are used such that the pressure drop becomes significant and can be modeled by the expression

d(P/Po)/dW = α(1 + ∈X)/2(P/P₀)

where alpha is 0.0011, what is the conversion and exit pressured this PBR?