1. You are working in a chemistry laboratory with volume 6000ft3. The chemical reaction you are performing produces 0.05ft3/min of Hydrogen Sulfide (a noxious gas) as a byproduct. The gas is dangerous at concentrations greater than 0.0004ft3Hydrogen Sulfide/ /ft3 air A. Suppose intake fans at one end of the room bring in 4.95ft3/min of fresh air, while exhaust fans at the other end of the room expel 5ft3/min of the mixed air from the room. Assume the Hydrogen Sulfide and fresh air immediately distribute uniformly across the room. I. Write an IVP modeling the volume of Hydrogen Sulfide in the room at time t minutes after the start of the experiment. Assume the air is fresh when you start the experiment. II. Solve the IVP. III. Find the concentration of Hydrogen Sulfide in the room (volume of Hydrogen Sulfide / volume of mixed air) at time t. IV. At what time t does the concentration reach 0.0004ft3 Hydrogen Sulfide/ /ft3 air? B. Now suppose the intake fans bring in Q- 0.05ft3/min of fresh air, while exhaust fans at the other end of the room expel Qft3/min of the mixed air from the room. I. What is the lowest value of Q such that the concentration never reaches 0.0004ft3Hydrogen2 Sulfide/ /ft3 air