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Zorluk: OrtaPharmacological Therapies

An adult client is prescribed cefazolin 0.75 g0.75\text{ g} intramuscularly for surgical prophylaxis. The medication is supplied as a 1 g1\text{ g} vial of dry powder. The manufacturer's instructions state to reconstitute the powder by adding 2.0 mL2.0\text{ mL} of sterile water for injection, yielding a total volume of 2.5 mL2.5\text{ mL} with a final concentration of 400 mg/mL400\text{ mg/mL}. How many mL\text{mL} should be administered to the client? (Record the answer to the nearest tenth. Do not include units in your answer.)

Cevap: 1.9 mL

Cevap

1.9
To determine the correct volume, the prescribed dose must first be converted to match the available unit: 0.75 g=750 mg0.75\text{ g} = 750\text{ mg}. When a final concentration is provided (400 mg/mL400\text{ mg/mL}), the diluent amount and total volume become extraneous information. Using the standard formula, divide the desired dose (750 mg750\text{ mg}) by the available concentration (400 mg400\text{ mg}) and multiply by the base volume (1 mL1\text{ mL}), which equals 1.875 mL1.875\text{ mL}. Rounding to the nearest tenth yields 1.9 mL1.9\text{ mL}.

Adım Adım Çözüm

1
Convert the prescribed dose from grams to milligrams.
0.75 g×1000 mg/g=750 mg0.75\text{ g} \times 1000\text{ mg/g} = 750\text{ mg}.
The available concentration is provided in milligrams, so the prescribed dose must be in the same unit of measurement.
2
Identify the final medication concentration from the provided instructions.
The final concentration is 400 mg/mL400\text{ mg/mL}.
Extraneous information such as the diluent volume (2.0 mL2.0\text{ mL}) and total reconstituted volume (2.5 mL2.5\text{ mL}) should be ignored when the final concentration is explicitly provided.
3
Calculate the volume to administer.
750 mg400 mg×1 mL=1.875 mL\frac{750\text{ mg}}{400\text{ mg}} \times 1\text{ mL} = 1.875\text{ mL}.
This formula determines the exact liquid volume containing the required dose.
4
Round the final answer to the nearest tenth.
1.875 mL1.875\text{ mL} rounds to 1.9 mL1.9\text{ mL}.
Standard rounding rules state that if the hundredths digit is 5 or greater, the tenths digit is rounded up.

Anahtar Kavram

Medication Reconstitution and Dosage Calculation
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