To design a chemical reactor with a capacity of 100 liters and achieve a 95% yield of product X, we will use a Continuous Stirred Tank Reactor CSTR for this first-order irreversible reaction. The design equation for a CSTR with a first-order reaction is: = C_A0 - C_A / k * C_A where is the residence time min , C_A0 is the initial concentration of reactant A 2 mol/L , C_A is the final concentration of reactant A, k is the reaction rate constant 0.1/min , and C_A is the concentration of reactant A at 95% yield.First, we need to determine the final concentration of reactant A C_A at 95% yield:C_A = 1 - 0.95 * C_A0C_A = 0.05 * 2 mol/LC_A = 0.1 mol/LNow, we can calculate the residence time using the design equation: = 2 mol/L - 0.1 mol/L / 0.1/min * 0.1 mol/L = 1.9 mol/L / 0.01 mol/L/min = 190 minNow that we have the residence time, we can calculate the flow rate Q using the reactor volume V and residence time:Q = V / Q = 100 L / 190 minQ = 0.526 L/minThe operating conditions for the chemical reactor are as follows:1. Reactor type: Continuous Stirred Tank Reactor CSTR 2. Reactor volume: 100 L3. Residence time: 190 min4. Flow rate: 0.526 L/minNote that the temperature and pressure are not provided in the problem statement. These conditions would depend on the specific reaction and the optimal conditions for the reaction to proceed. In practice, you would need to consult the literature or perform experiments to determine the optimal temperature and pressure for the reaction to achieve the desired yield.