Question

Ketamine is supplied in a solution of 100.mg/mL. If 3.6 mL of this solution is diluted to a volume of 10.0 mL, how much of the diluted solution should be administered to supply a dose of 52mg ?

Answer 1

To supply a dose of 52mg, approximately 1.44 mL of the diluted solution should be administered.

Step-by-step explanation:

To calculate the amount of the diluted solution that should be administered to supply a dose of 52mg, we can use the concept of dilution. 3.6 mL of the stock solution with a concentration of 100 mg/mL is diluted to a volume of 10.0 mL. This means that the concentration of the diluted solution is 36 mg/mL.

o find the volume of the diluted solution needed to supply a dose of 52mg, we can use the formula:

(volume of desired dose) = (desired dose) / (concentration of diluted solution)

Substituting the values:

(volume of desired dose) = 52 mg / 36 mg/mL

(volume of desired dose) ≈ 1.44 mL

Answer 2

69.23 mL of the diluted solution should be administered to supply a dose of 52 mg.

How to get what has to be administered

First, find the amount of ketamine in the 3.6 mL of the original solution:

Amount of ketamine in 3.6 mL

= concentration of ketamine × volume of solution

Amount = 100 mg/mL × 3.6 mL

= 360 mg

a dose of 52 mg

Let x represent the amount of diluted solution needed to supply 52 mg of ketamine.

Using the concept of a constant amount of drug:

we can set up a proportion:

Amount of ketamine in 3.6 mL / Volume of diluted solution = Amount of ketamine needed for the dose / Total volume after dilution

`\(360\, \text{mg} / x = 52\, \text{mg} / 10\, \text{mL}\)`

Now, solve for x:

`\(x = \frac{360\, \text{mg} * 10\, \text{mL}}{52\, \text{mg}}\)`

`\(x = 69.23\, \text{mL}\)`

Therefore, approximately 69.23 mL of the diluted solution should be administered to supply a dose of 52 mg.