Biogas is produced as in an anaerobic digester that treats farm wastes or energy crops. During the process, an air-tight tank transforms biomass waste into methane, producing renewable energy that can be used for heating, to generate electricity, and or fuel for a gas engines and turbines. The composition of biogas from one such plant has been reported, by volume, to be 62% methane, 8% nitrogen and 30% carbon dioxide. 

a. Compute the heat that would be produced per 100 m³ of biogas if it was isothermally combusted with a stoichiometric amount of pure oxygen at 298 K.

b. Compute the maximum amount of work that could be produced if the biogas was isothermally combusted in fuel cell with a stoichiometric amount of pure oxygen at 298 K. 

c. Compute the maximum amount of work that could be produced if the biogas was isothermally combusted in a fuel cell with a stoichiometric amount of air (21 mole % oxygen and 79 mole % nitrogen) at 298 K.