Swimming pool manufacturers recommend thatthe concentration of chlorine be kept between

Chapter 1, Problem 16

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Swimming pool manufacturers recommend thatthe concentration of chlorine be kept between 1and 2 parts per million (ppm). They also warnthat if the concentration exceeds 3 ppm,swimmers experience burning eyes. If theconcentration drops below 1 ppm, the water willbecome cloudy. If it drops below 0.5 ppm, algaewill begin to grow. During a period of one day15% of the chlorine present in the pool dissipates,mainly due to evaporation.a. If the chlorine content is currently 2.5 ppm andno additional chlorine is added, how long willit be before the water becomes cloudy?b. If the chlorine content is currently 2.5 ppm and0.5 ppm of chlorine is added daily, what willthe concentration eventually become?c. If the chlorine content is currently 2.5 ppm and0.1 ppm of chlorine is added daily, what willthe concentration eventually become?d. How much chlorine must be added daily forthe chlorine level to stabilize at 1.8 ppm?

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