If 5 liters of a 20% solution is mixed with 15 liters of a 30% solution, what is

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Question: If 5 liters of a 20% solution is mixed with 15 liters of a 30% solution, what is the percentage concentration of the resulting mixture?

Options:

Correct Answer: 24%

Solution:

Total salt = (0.2*5) + (0.3*15) = 1 + 4.5 = 5.5 liters. Total volume = 5 + 15 = 20 liters. Concentration = (5.5/20)*100 = 27.5%.

If 5 liters of a 20% solution is mixed with 15 liters of a 30% solution, what is the percentage concentration of the resulting mixture?

If 5 liters of a 20% solution is mixed with 15 liters of a 30% solution, what is the percentage concentration of the resulting mixture?

Step 1: Calculate the amount of salt in the 20% solution. Multiply 5 liters by 0.2 (20%). This gives you 1 liter of salt.
Step 2: Calculate the amount of salt in the 30% solution. Multiply 15 liters by 0.3 (30%). This gives you 4.5 liters of salt.
Step 3: Add the amounts of salt from both solutions together. 1 liter + 4.5 liters = 5.5 liters of salt.
Step 4: Calculate the total volume of the mixture. Add the volumes of both solutions together. 5 liters + 15 liters = 20 liters.
Step 5: Calculate the concentration of the resulting mixture. Divide the total amount of salt (5.5 liters) by the total volume (20 liters) and multiply by 100 to get the percentage. (5.5 / 20) * 100 = 27.5%.

Concentration Calculation – Understanding how to calculate the concentration of a solution by combining different solutions and determining the total amount of solute and total volume.
Percentage and Volume Relationships – Applying the relationship between volume and percentage concentration to find the overall concentration of a mixture.