Question

Prior to a bronchoscopy a client is prescribed diazepam (Valium) 7.5 mg IM on call to the endoscopy lab. You have diazepam 5 mg/mL. How many mL will you administer? (Place your answer in the 10th decimal and place only the numerical value in the space provided.)

Answer 1

To administer 7.5 mg of diazepam, you would need to administer 1.5 mL of the 5 mg/mL diazepam solution.

Step-by-step explanation:

To calculate the number of milliliters (mL) of diazepam to administer, we can use the formula: C₁V₁ = C₂V₂, where C₁ is the concentration of the diazepam solution, V₁ is the volume to be administered, C₂ is the desired concentration, and V₂ is the desired volume. In this case, we have a diazepam solution with a concentration of 5 mg/mL and we want to administer 7.5 mg. Therefore:

C₁ = 5 mg/mL, V₁ = ?, C₂ = 7.5 mg, V₂ = 1 mL

Using the formula, we can calculate:

5 mg/mL * V₁ = 7.5 mg * 1 mL

V₁ = (7.5 mg * 1 mL) / 5 mg/mL

V₁ = 7.5 mL / 5 mg/mL

V₁ = 1.5 mL

Therefore, you would administer 1.5 mL of the diazepam solution.