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Assume that algae need carbon, nitrogen and phosphorus in the atomic ratio 106:16:1

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Assume that algae need carbon, nitrogen and phosphorus in the atomic ratio 106:16:1. What is the limiting nutrient in the lake that contains the following concentrations: total carbon = 20 mg/L, total N = 0.80 mg/L and total P = 0.16 mg/L? If it is known that half the phosphorus in the lake originates from the use of phosphate detergents, will banning phosphate builders slow down eutrophication?