Please write the steps clearly, thanksQ_QQuestion 1(25 marks) At a water treatment facility, a large settling tank contains 10,000 gallons of water with 150 pounds of chlorine initially dissolved. To maintain disinfection levels, water containing 0.5 pounds of chlorine per gallon is pumped into the tank at a rate of 100 gallons per minute. The well-mixed solution is pumped out at a rate of 110 gallons per minute. (i) Derive an ordinary differential equation to express the change of chlorine amount in the tank at time \( t \).(11 marks)(ii) Determine the equation for the amount of chlorine in the tank at time \( t \).(10 marks)(iii) Find the amount of chlorine in the tank 20 minutes after the start of the pumping process. (4 marks)