Rx: Prostaglandin E 10mcg/mL

If the stock container of prostaglandin E is 100 mg/mL, how many 9-mL dilutions are required to prepare the ordered concentration?

You are diluting 100m/10mc times, or 100/.01 = 10000 times. I am not familiar with a procedure called 9 ml dilutions. IF YOU MEAN 9ml water to 1ml of stock, then to get 10,000 you need to do it..

first time: 10:1
second time: 100:1
third time:1000:1
fourth time:10 000 :1 you are done.

Same procedure as above, except first you need to convert the stock container of 100 mg/ml to the mcg/ml you need to satisfy the prescription. So to do that you do a ratio like that listed above, except you start off with 100,000 mcg (after converting 100 mg to micrograms). Then from there you do as follows:

100,000:1
10,000 :1
1,000 :1
100 :1

And there's your answer, it takes 4 times to get to the desired dilution.

To find the number of 9-mL dilutions required to prepare the ordered concentration of Prostaglandin E at 10mcg/mL, we need to calculate the amount of stock solution needed and then divide it by 9 mL per dilution.

First, let's determine the amount of the active ingredient (Prostaglandin E) needed for the desired concentration of 10mcg/mL.
The desired concentration is 10 mcg/mL, which means in each mL of the final solution, we need to have 10 mcg of Prostaglandin E.

Next, we need to calculate the amount of stock solution required to provide 10 mcg of Prostaglandin E in each final mL. The stock solution concentration is given as 100 mg/mL, which is equivalent to 100,000 mcg/mL.

To create the desired 10mcg/mL concentration, we can set up the following equation:
(10 mcg/mL) / (100,000 mcg/mL) = x mL / (9 mL * N)

Simplifying the equation, we get:
(10/100,000) = (x/9N)

Cross-multiplying, we have:
10 * 9N = 100,000 * x

Rearranging the equation:
(x) = (10 * 9N) / 100,000

To calculate the number of 9-mL dilutions needed (N), we need to divide the total volume (x) by 9 mL per dilution:
N = x / 9

Substituting the value of x:
N = (10 * 9N) / 100,000 / 9

Simplifying further:
1 = 10N / 100,000

Cross-multiplying:
100,000 = 10N

Dividing both sides by 10, we can find N:
N = 100,000 / 10

N = 10,000 / 10

N = 1000

Therefore, you would need 1000 9-mL dilutions to prepare the ordered concentration of Prostaglandin E at 10mcg/mL.