Octane is combusted with air in a cars engine. A ratio control scheme is to be implemented to ensure that the air to octane fuel ratio entering the engine is held at the stoichiometric ratio. The electronic flow transmitters for the two gases have spans of 200 L/min for air and 10 L/min for octane. Assuming ideal gases: a. What is the stoichiometric ratio of oxygen to octane for perfect combustion? b. What is the stoichiometric ratio of air to octane for perfect combustion, assuming normal air composition? c. Calculate the gain for the ratio station, KR. Hint: Consider air flow rate to be the disturbance variable.