Find the required equivalence ratio in case a

Question

Problem

1. Methane, CH₄, is burned in a steady-state process with two different oxidizers: case A-pure oxygen, O₂, and case B-a mixture of O₂ + xA_r. The reactants are supplied at T₀, P₀, and the products are at 3600 R in both cases. Find the required equivalence ratio in case A and the amount of argon, x, for a stoichiometric ratio in case B.

2. A rigid vessel initially contains 2 lbm of carbon and 2 lbm of oxygen at 77 F, 30 lbf/in^.2. Combustion occurs, and the resulting products consist of 1 lbm of CO₂, 1 lbm of CO, and excess O₂ at a temperature of 1800 R. Determine the final pressure in the vessel and the heat transfer from the vessel during the process.

The response should include a reference list. Double-space, using Times New Roman 12 pnt font, one-inch margins, and APA style of writing and citations.