Uptake of sevoflurane during first minute is 50 mL. Between the 16th and 36th minutes, how much sevoflurane is taken up?

Uptake of sevoflurane during first minute is 50 mL. Between the 16th and 36th minutes, how much sevoflurane is taken up?

• A. 25 mL
• B. 50 mL
• C. 100 mL
• D. 200 mL

Answer: (C)

Uptake of inhaled anesthetics in the early phase follows a square-root time relationship, so the cumulative amount taken up by time t is proportional to sqrt(t). Let U(t) = k sqrt(t). The given uptake in the first minute is 50 mL, so k = 50 mL. The uptake between minutes 16 and 36 is U(36) − U(16) = k (sqrt(36) − sqrt(16)) = 50 (6 − 4) = 100 mL. Therefore, 100 mL is taken up in that interval.

Uptake of inhaled anesthetics in the early phase follows a square-root time relationship, so the cumulative amount taken up by time t is proportional to sqrt(t). Let U(t) = k sqrt(t). The given uptake in the first minute is 50 mL, so k = 50 mL. The uptake between minutes 16 and 36 is U(36) − U(16) = k (sqrt(36) − sqrt(16)) = 50 (6 − 4) = 100 mL. Therefore, 100 mL is taken up in that interval.