Thermodynamics

Estimate the temperature inside a cylinder of an internal combustion engine just after the spark has ignited the fuel. You are provided with the following list of assumptions. Assume the cylinder has a volume of 10 liters. Assume that the oxidant is air containing 20% oxygen. Assume that the fuel is octane (C9H18, molar mass = 114 g/mol) with an energy content of 47.7 kJ/g. Assume that the combustion is complete and uses all of the oxygen in the cylinder based on an intake temperature of 298 K and an intake pressure of 1 atmosphere. Assume that the constant-volume heat capacities of carbon dioxide, water, and nitrogen are respecively 45, 35, and 25 J/mol/K.