Final answer:
To administer a 350 mg dose of ceftriaxone mixed with lidocaine at a concentration of 250 mg/mL, the patient requires an injection of 1.4 mL of the solution.
Step-by-step explanation:
To calculate the volume of ceftriaxone-lidocaine solution to be injected intramuscularly (IM) to deliver a dose of 350 mg, one must consider the concentration of the final mixed solution. Given that the final concentration is 250 mg/mL, the volume (V) required to achieve the desired dose (D) of 350 mg can be calculated using the formula:
D = V × C
where:
- D is the dose in mg
- V is the volume in mL
- C is the concentration in mg/mL
Rearranging the formula to solve for volume (V):
V = D / C
Plugging in the values:
V = 350 mg / 250 mg/mL = 1.4 mL
Therefore, to administer a dose of 350 mg with a solution concentration of 250 mg/mL, the patient should be injected with 1.4 mL of the solution.