How much Carindacillin Sodium (C26H25N2O6SNa, MW = 516.6) is required to infuse an 81.5 kg man at the rate of 0.50 mg/kg body weight/min of Carindacillin (MW = 493.6) over a 12 hour period?

Question

BlackTom AI · Accepted Answer

Dose rate 0.50 mg/kg/min × body weight × infusion time gives the total mass of the active carindacillin required; then convert that mass to the sodium salt using the ratio of molecular weights (MWsalt/MWfree).

1) Relevant concepts
- Infusion dose = (mg/kg/min) × (kg) × (minutes).
- When a drug is given as a salt, required mass = mass of free base × (MW(salt)/MW(free)).
- Unit consistency (minutes, mg → g).

2) Step-by-step calculation
- Rate per minute for this patient: 0.50 mg/kg/min × 81.5 kg = 40.75 mg/min.
- Total infusion time: 12 h = 12 × 60 = 720 min.
- Total carindacillin (free) required: 40.75 mg/min × 720 min = 29,340 mg.
- Convert to grams: 29,340 mg = 29.34 g (carindacillin, MW = 493.6).

3) Convert to Carindacillin Sodium (MW = 516.6)
- Mass(salt) = mass(free) × (MWsalt / MWfree) = 29.34 g × (516.6 / 493.6).
- Compute ratio: 516.6 / 493.6 = 1.046662 (approx).
- Mass(salt) = 29.34 × 1.046662 ≈ 30.709 g ≈ 30.71 g.

4) Why this is correct
The infusion rate and patient weight determine the amount of active carindacillin needed (29.34 g). Because the supplied form is the sodium salt, more mass is required proportionally to the MW increase; applying the MW ratio yields 30.71 g of Carindacillin Sodium.

5) Why other options are incorrect
- (a) 2.56 g and (b) 0.512 g are orders of magnitude too small (likely from forgetting kg, minutes, or misplacing decimal).
- (c) 29.34 g equals the free acid amount, not adjusted for the sodium salt.
- (e) 28.03 g is lower than the free-acid mass and inconsistent with the required MW correction.

Final confirmation: The correct answer is d. 30.71 g.

How much Carindacillin Sodium (C26H25N2O6SNa, MW = 516.6) is required to infuse an 81.5 kg man at the rate of 0.50 mg/kg body weight/min of Carindacillin (MW = 493.6) over a 12 hour period?Single choice

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