The elementary gas reaction 2A + B → C is carried out isothermally in a PFR with no pressure drop. The feed is equal molar in A and B, and the entering concentration of A is 0.1 mol/dm³. Set up a stoichiometric table and then determine the following.
a. What is the entering concentration (mol/dm³) of B?
b. What are the concentrations of A and C (mol/dm³) at 25% conversion of A?
c. What is the concentration of B (mol/dm³) at 25% conversion of A?
d. What is the concentration of B (mol/dm³) at 100% conversion of A?
e. If at a particular conversion the rate of formation of C is 2 mol/min/dm³, what is the rate of formation of A at the same conversion?
f. Write =r_A solely as a function of conversion (i.e., evaluating all symbols) when the reaction is an elementary, irreversible, gas-phase, isothermal reaction with no pressure drop with an equal molar feed and with C_A0 = 2.0 mol/dm³ at, k_A = 2 dm⁶/mol•s.
g. What is the rate of reaction at X = 0.5?