To design a chemical reactor for the synthesis of ammonia via the Haber process, we need to consider the following factors:1. Reaction kinetics2. Reactor type3. Catalyst selection4. Reactor size1. Reaction kinetics:The Haber process involves the reaction between nitrogen N2 and hydrogen H2 to form ammonia NH3 as follows:N2 + 3H2 2NH3The reaction is reversible and exothermic. The forward reaction rate increases with increasing pressure and decreasing temperature. However, the equilibrium conversion of reactants to ammonia decreases with increasing temperature. Therefore, a compromise temperature of 450C is chosen to achieve a reasonable reaction rate and conversion.2. Reactor type:Since the reaction is reversible and involves gaseous reactants, a packed-bed reactor is a suitable choice for the Haber process. The packed-bed reactor allows for good contact between the reactants and the catalyst, promoting high conversion rates.3. Catalyst selection:A suitable catalyst for the Haber process is iron Fe with potassium hydroxide KOH as a promoter. The catalyst enhances the reaction rate without being consumed in the process. The promoter increases the activity and selectivity of the catalyst.4. Reactor size:To determine the size of the reactor, we need to calculate the volume of the packed-bed reactor required to achieve the desired conversion. We can use the following equation:V = F_in / k * X Where V is the reactor volume, F_in is the molar flow rate of the limiting reactant N2 , k is the reaction rate constant, and X is the desired conversion.Given a flow rate of 10 moles per minute and a N2:H2 ratio of 1:3, the molar flow rate of N2 F_in is 2.5 moles per minute.The reaction rate constant k can be determined using the Arrhenius equation:k = A * exp -Ea / R * T Where A is the pre-exponential factor, Ea is the activation energy, R is the gas constant, and T is the temperature in Kelvin. For the Haber process, A = 4.0 x 10^8 min^-1, Ea = 1.2 x 10^5 J/mol, and T = 450C = 723 K.k = 4.0 x 10^8 * exp -1.2 x 10^5 / 8.314 * 723 = 2.02 x 10^4 min^-1Assuming a desired conversion X of 15%, the reactor volume V can be calculated as:V = 2.5 / 2.02 x 10^4 * 0.15 = 8.22 x 10^-4 m^3Therefore, the required packed-bed reactor volume is approximately 8.22 x 10^-4 m^3. The actual reactor size may be larger to account for catalyst packing and pressure drop considerations.In summary, a packed-bed reactor with a volume of approximately 8.22 x 10^-4 m^3, operating at 200 atm and 450C, and containing an iron catalyst with potassium hydroxide promoter, is suitable for the synthesis of ammonia via the Haber process with a feed of nitrogen and hydrogen gases at a ratio of 1:3 and a flow rate of 10 moles per minute.