Subjects pharmacology

Ceftriaxone Volume 6Cef17

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1. **State the problem:** We need to find the volume of ceftriaxone solution to administer to a child weighing 16 kg, given the dosage is 60 mg per kg and the solution concentration is 0.020 g/mL. 2. **Identify the formula:** The volume to administer can be found by dividing the total required dose by the concentration of the solution. 3. **Calculate the total dose:** Total dose $= 60\ \text{mg/kg} \times 16\ \text{kg}$. 4. **Convert units for concentration:** Concentration is $0.020\ \text{g/mL} = 20\ \text{mg/mL}$ (since $1\ \text{g} = 1000\ \text{mg}$). 5. **Set up the expression for volume:** $$\text{Volume} = \frac{60\ \text{mg/kg} \times 16\ \text{kg}}{20\ \text{mg/mL}}$$ This expression gives the volume in mL. 6. **Explanation:** Multiply the dosage per kg by the child's weight to get the total mg needed, then divide by the concentration in mg/mL to get the volume in mL. **Final answer:** $$\text{Volume} = \frac{60\ \text{mg/kg} \times 16\ \text{kg}}{20\ \text{mg/mL}}$$