taylordeniserichards taylordeniserichards
  • 16-12-2019
  • Mathematics
contestada

14 L of a 25% acid to Lucian are to be mixed with water to create a 10% acid solution. how much water needs to be added

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rani01654 rani01654
  • 28-12-2019

Answer:

24.5 liters of water.

Step-by-step explanation:

14 liters of 25% acid solution contains [tex]\frac{14 \times 25}{100} = 3.5[/tex] liters of acid and (14 - 3.5) = 10.5 liters of water.

Let us assume that x liters of water are mixed to make it a 10% acid solution.

So, [tex]\frac{3.5}{10.5 + x} = \frac{10}{100} = 0.1[/tex]

⇒ 3.5 = 1.05 + 0.1x

⇒ 0.1x = 2.45

⇒ x = 24.5 liters. (Answer)

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