Question
How many ml of 1% solution do you need . If you need to prepare .75% solution using 1% and .5% stick solutions?
Answers
GPT 3.5
Let's assume that you need to prepare x mL of the .75% solution using 1% and .5% stock solutions.
To find the amount of the 1% solution needed, we can set up the following equation based on the concept of concentration:
(1% of x mL) + (.5% of y mL) = .75% of (x + y) mL
Since we only have one unknown, we can simplify the equation:
(0.01x) + (0.005y) = 0.0075(x + y)
From this equation, we can see that the number of mL of the .5% solution needed is (x + y) mL - x mL = y mL.
Substituting this back into the equation, we get:
0.01x + 0.005(x + y) = 0.0075(x + y)
0.015x + 0.005y = 0.0075x + 0.0075y
0.005x = 0.0025y
x = 0.5y
This means that for every mL of the 1% solution, you need half the amount of the .5% solution.
Thus, if you need to prepare x mL of the .75% solution using 1% and .5% stock solutions, you would need x mL of the 1% solution and 0.5x mL of the .5% solution.
To find the amount of the 1% solution needed, we can set up the following equation based on the concept of concentration:
(1% of x mL) + (.5% of y mL) = .75% of (x + y) mL
Since we only have one unknown, we can simplify the equation:
(0.01x) + (0.005y) = 0.0075(x + y)
From this equation, we can see that the number of mL of the .5% solution needed is (x + y) mL - x mL = y mL.
Substituting this back into the equation, we get:
0.01x + 0.005(x + y) = 0.0075(x + y)
0.015x + 0.005y = 0.0075x + 0.0075y
0.005x = 0.0025y
x = 0.5y
This means that for every mL of the 1% solution, you need half the amount of the .5% solution.
Thus, if you need to prepare x mL of the .75% solution using 1% and .5% stock solutions, you would need x mL of the 1% solution and 0.5x mL of the .5% solution.