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A lab technician has 40 gallons of a 15% iodine solution. How many

gallons of a 40% iodine solution must he add to make a 20% iodine solution?


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Respuesta :

adioabiola

The quantity of a 40% iodine solution that must be added to 40 gallons of a 15% iodine solution to make a 20% iodine solution is: 10 gallons.

According to the question;

  • We are required to determine how many gallons of a 40% iodine solution must he add to make a 20% iodine solution.

Let gallons of a 40% iodine solution to be added be; x gallons.

Therefore, the total gallons of a 20% iodine solution obtained is; (40+x) gallons.

By mass balance of iodine in each solution;

  • (15% of 40) + (40% of x) = (20% of (40 + x))

  • (0.15 × 40) + 0.4x = 0.2x + 8

  • 0.2x = 2

  • x = 10 gallons.

In essence; 10 gallons of a 40% iodine solution must be added to make a 20% iodine solution.

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