(a) Solve the Schrödinger equation by using A sin(kx) as a trial solution to determine k and total energy E in terms of quantum number n. (10%)

6. For the reaction C2H4 + H2 → C2H6 in the presence of mercury vapor, a possible mechanism is:Hg + H2 → Hg + 2H (rate constant k₁)H + C2H4 → C2H5 (rate constant k₂)C2H5 + H2 → C2H6 + H (rate constant k3)H + H → H2 (rate constant k4)Determine the rate law for the production of C2H6 using the steady-state approximation. (12%)