15L OF 36% Alcohol solution is mixed with 30L of 45% alcohol solution.what is concentration of resultant solution??? (ans 42% how???)
Look at total volume of solution:
Mixing 15 L of first solution and 30 L of second solution gives 45 L of final solution.
(i.e., 15 + 30 = 45)
Now look at total volume of alcohol portion only:
36% of 15 + 45% of 30 = x% of 45
In other words,
0.36(15) + 0.45(30) = 45x
Solve for x to get 0.42, which is 42%
To find the concentration of the resultant solution, you can use a weighted average formula. Here are the steps to calculate it:
Step 1: Determine the amount of alcohol in the first solution:
15L of a 36% alcohol solution contains (36/100) * 15 = 5.4L of alcohol.
Step 2: Determine the amount of alcohol in the second solution:
30L of a 45% alcohol solution contains (45/100) * 30 = 13.5L of alcohol.
Step 3: Calculate the total amount of alcohol in the mixture:
Total amount of alcohol = 5.4L + 13.5L = 18.9L
Step 4: Calculate the total volume of the mixture:
Total volume of the mixture = 15L + 30L = 45L
Step 5: Calculate the concentration of the resultant solution:
(18.9L / 45L) * 100 = 42%
Therefore, the concentration of the resultant solution is 42%.