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Ceftriaxone 1 needs to be mixed with lidocaine 1% to a final volume of 250mg / mL If the patient is to get 350 mg IM, how many milliliters should be injected?

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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.

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