A chemical processing plant prepares a batch of solution by mixing two stock liquid compounds, Solution A and Solution B, to form an initial mixture with a total mass of . Solution A contains active compound by mass, and Solution B contains active compound by mass. Solution A and Solution B are combined in a mass ratio of , respectively.
To satisfy export specifications, technicians must raise the active compound concentration of the entire mixture to by mass by adding a quantity of pure active compound. How many kilograms of pure active compound must be added to the mixture?
Cevap: 32 kg
Cevap
32 kg of pure active compound must be added to reach a final concentration of 25% active compound by mass.
The initial mixture consists of 360 kg of Solution A and 120 kg of Solution B. This contains a total of 96 kg of active compound (90 kg from A and 6 kg from B). Adding 32 kg of pure active compound brings the total active compound to 128 kg and total mixture mass to 512 kg, yielding an exact concentration of 128 / 512 = 25%.
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Anahtar Kavram
Weighted average mixtures and algebraic optimization of concentration ratios