Problem: Many drugs decompose in blood by a first-order process.(a) Two tablets of aspirin supply 0.60 g of the active compound. After 30 min, this compound reaches a maximum concentration of 2 mg/100 mL of blood. If the half-life for its breakdown is 90 min, what is its concentration (in mg/100 mL) 2.5 h after it reaches its maximum concentration? 

🤓 Based on our data, we think this question is relevant for Professor Wall's class at VT.

FREE Expert Solution

Step 1

k = ln 2t12k = 0.69390 min

k = 7.7x10-3 min-1


Step 2

ln[A] = -kt + ln[A]0ln[2 mg100 mL] = -(7.7×10-3 min-1)(30 min) + ln[A]0ln[A]0 =ln[2 mg100 mL] + (7.7×10-3 min-1)(30 min)ln[A]0 =-3.6810[A]0 =e-3.6810

[A] = 0.02520 mg/mL

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Problem Details

Many drugs decompose in blood by a first-order process.

(a) Two tablets of aspirin supply 0.60 g of the active compound. After 30 min, this compound reaches a maximum concentration of 2 mg/100 mL of blood. If the half-life for its breakdown is 90 min, what is its concentration (in mg/100 mL) 2.5 h after it reaches its maximum concentration? 

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Based on our data, we think this problem is relevant for Professor Wall's class at VT.

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Our data indicates that this problem or a close variation was asked in Chemistry: The Molecular Nature of Matter and Change - Silberberg 8th Edition. You can also practice Chemistry: The Molecular Nature of Matter and Change - Silberberg 8th Edition practice problems.