A solution is made by mixing 5 liters of a 10% acid solution with 15 liters of a 20% acid solution. What is the concentration of acid in the final mixture?
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A solution is made by mixing 5 liters of a 10% acid solution with 15 liters of a 20% acid solution. What is the concentration of acid in the final mixture?
Q: A solution is made by mixing 5 liters of a 10% acid solution with 15 liters of a 20% acid solution. What is the concentration of acid in the final mixture?
Step 1: Calculate the amount of acid in the 5 liters of 10% solution. This is done by multiplying 5 liters by 0.1 (10%). So, 5 * 0.1 = 0.5 liters of acid.
Step 2: Calculate the amount of acid in the 15 liters of 20% solution. This is done by multiplying 15 liters by 0.2 (20%). So, 15 * 0.2 = 3 liters of acid.
Step 3: Add the amounts of acid from both solutions together. So, 0.5 liters + 3 liters = 3.5 liters of acid in total.
Step 4: Calculate the total volume of the mixture. This is done by adding the volumes of both solutions together. So, 5 liters + 15 liters = 20 liters total volume.
Step 5: Calculate the concentration of acid in the final mixture. This is done by dividing the total amount of acid (3.5 liters) by the total volume (20 liters) and then multiplying by 100 to get a percentage. So, (3.5 / 20) * 100 = 17.5%.
