Explosion - A Reaction between Oxygen and Hydrogen

In this experiment you will study the kinetics of explosion reactions using a simulator.

Preparation

Questions

  1. Draw schematically the explosion diagram for the reaction of hydrogen with oxygen. Take two points with coordinates (T, $P_1$) and (T, $P_2$) near the upper limit in the region of the isothermal explosion. Here P1 is greater than $P_2$. At which of these points is the net branching factor larger?
  2. Consider the following reaction mechanism:

    $$ Fe^{+2} + H_2O_2 \quad \rightarrow \quad Fe^{+3}+OH^-+R_1 \quad ; k_1 $$

    $$ Fe^{+2} + R_1 \quad \rightarrow \quad Fe^{+3}+HO^- \quad ; k_2 $$

    $$ R_1 + H_2O_2 \quad \rightarrow \quad H_2O + R_2 \quad ; k_3 $$

    Derive the expression for the concentration of the free radical $R_1$ as a function of the concentrations of the species Fe+2, Fe+3, and H2O2 using the steady-state approximation.

  3. Calculate the ratio of pressures $P_1$/$P_2$ corresponding to the upper limit of hydrogen and oxygen (at 1:1 stoichiometry) at different temperatures: T1=400 °C and T2=600 °C (the effective activation energy of the upper limit is 22 kcal\mol).