A saline solution was made by mixing 11 ml of a 36% saline solution and 6 ml of a 53 % saline solution. How do I find the consentration of the new mixture?
solve
x(16) = 36(11) + 53(6)
I got 44.6%
7.14
To find the concentration of the new mixture, you need to calculate the amount of saline in the mixture and then divide it by the total volume of the mixture.
Step 1: Calculate the amount of saline in each solution:
For the 36% saline solution:
Amount of saline = 36% of 11 ml = 0.36 * 11 ml = 3.96 ml
For the 53% saline solution:
Amount of saline = 53% of 6 ml = 0.53 * 6 ml = 3.18 ml
Step 2: Calculate the total amount of saline in the mixture:
Total amount of saline = amount of saline in the 36% solution + amount of saline in the 53% solution
= 3.96 ml + 3.18 ml
= 7.14 ml
Step 3: Calculate the total volume of the mixture:
Total volume of the mixture = volume of the 36% solution + volume of the 53% solution
= 11 ml + 6 ml
= 17 ml
Step 4: Calculate the concentration of the new mixture:
Concentration = (Total amount of saline / Total volume of the mixture) * 100%
= (7.14 ml / 17 ml) * 100%
≈ 42.0 %
Therefore, the concentration of the new mixture is approximately 42.0%.