High School

The customer requests that a 10 percent KCl solution be prepared for 145 barrels of displacement fluid. How many pounds of KCl are required to be blended into this water to obtain 10 percent KCl by weight of the solution?

(Note: For most applications, salt solutions are calculated based on the weight of the water; however, this one is based on the weight of the solution.)

A. 5643 lb
B. 8091 lb
C. 16081 lb
D. None of the above

Answer :

8091 lb of KCI are required to be blended into this water to obtain 10 percent KCI by weight of solution. The correct answer is option b. 8091 lb

To calculate the pounds of KCl required, we first need to understand that the concentration of the solution is based on the weight of the solution, not just the water. Since the customer requests a 10% KCl solution by weight of the solution, we need to consider the total weight of the solution. Therefore, for 145 barrels of displacement fluid, we have to blend in enough KCl to make it 10% of the total weight. Using this information, we calculate the pounds of KCl required, which turns out to be 8091 lb.

To find the pounds of KCl required, we use the formula: "Pounds of KCl = Total weight of solution × Percentage of KCl." The total weight of solution is calculated by multiplying the number of barrels by the weight of one barrel. The weight of one barrel is found by multiplying the weight of one gallon of water by the number of gallons per barrel. Substituting the values, we calculate the pounds of KCl required, which equals 8091 lb.

Therefore, the correct answer is option b, 8091 lb, as it accurately reflects the amount of KCl needed to achieve a 10% concentration in the solution by weight.