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kirza4 [7]
3 years ago
7

As with any drug, aspirin (acetylsalicylic acid) must remain in the bloodstream long enough to be effective. Assume that the rem

oval of aspirin from the bloodstream into the urine is a first-order reaction, with a half-life of about 3 hours. The instructions on an aspirin bottle say to take 1 or 2 tablets every 4 hours. If a person takes 1 aspirin tablet, how much aspirin remains in the bloodstream when it is time for the second dose? (A standard tablet contains 400. mg of aspirin.)
Chemistry
1 answer:
Olenka [21]3 years ago
4 0

Answer:

180 mg

Explanation:

For a first-order reaction, we can calculate the amount of aspirine (A) at a certain time (t) using the following expression.

A=A_{0}.e^{-k.t}

where,

k: rate constant

A₀: initial amount

If we know the half-life (t_{1/2}) we can calculate the rate constant.

k=\frac{ln2}{t_{1/2}} =\frac{ln2}{3h} =0.2h^{-1}

When t = 4 h and A₀ = 400 mg, A is:

A=400mg.e^{-0.2h^{-1}\times 4h} =180mg

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