Answer:
278 ml of lidocaine and 222 ml of water are needed to make the solution.
Step-by-step explanation:
Given that I have been asked to make 500 mL of 50% dexamethasone solution from a 90% dexamethasone stock solution, to determine what volume of the stock lidocaine and what volume of water do I need, I need to perform the following calculation:
100 x 0.90 + 0 x 0 = 90
90 x 0.90 + 10 x 0 = 81
80 x 0.90 + 20 x 0 = 72
60 x 0.90 + 40 x 0 = 54
55 x 0.90 + 45 x 0 = 49.5
56 x 0.90 + 44 x 0 = 50.4
55.5 x 0.90 + 44.5 x 0 = 49.95
55.6 x 0.90 + 44.4 x 0 = 50.04
500 x 0.556 = 278
Thus, 278 ml of lidocaine and 222 ml of water are needed to make the solution.