QuestionDecember 15, 2025

The half-life of Ativan is about 14 hours. How much of a 2 mg dose would remain in the body after 6 hours?

The half-life of Ativan is about 14 hours. How much of a 2 mg dose would remain in the body after 6 hours?
The half-life of Ativan is about 14 hours. How much of a 2 mg dose would remain in the body after 6 hours?

Solution
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Answer

1.49 mg Explanation 1. Use the half-life decay formula The remaining amount is A = A_0 \times (1/2)^{t/T_{1/2}}, where A_0 = 2 mg, t = 6 hr, T_{1/2} = 14 hr. 2. Calculate exponent t/T_{1/2} = 6/14 \approx 0.4286 3. Compute remaining fraction (1/2)^{0.4286} \approx 0.747 4. Find remaining amount A = 2 \times 0.747 = 1.494 mg

Explanation

1. Use the half-life decay formula<br /> The remaining amount is $A = A_0 \times (1/2)^{t/T_{1/2}}$, where $A_0 = 2$ mg, $t = 6$ hr, $T_{1/2} = 14$ hr.<br />2. Calculate exponent<br /> $t/T_{1/2} = 6/14 \approx 0.4286$<br />3. Compute remaining fraction<br /> $(1/2)^{0.4286} \approx 0.747$<br />4. Find remaining amount<br /> $A = 2 \times 0.747 = 1.494$ mg
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