In a first –order reaction, suppose that a quantity X of a reactant is added at regular intervalsof time, Δt. At first the amount of reactant in the system builds up; eventually, however, it levelsoff at a saturation value given by the expressionSaturation value = x / (1 -10-a) where a = 0.30 Δt/t1/2This analysis applies to prescription drugs, of which you take a certain amount each day. Supposethat you take 0.100 g of a drug three times a day and that the half-life for elimination is 2.0 days.Using this equation, calculate the mass of the drug in the body at saturation. Suppose furtherthat side effects show up when 0.500 g of the drug accumulates in the body. As a pharmacist,what is the maximum dosage you could assign to a patient for an 8-h period without causing sideeffects? 104. In a first-order reaction, suppose that a quantity X of a reactant is addedat regular intervals of time, At. At first the amount of reactant in the systembuilds up; eventually, however, it levels off at a saturation value given by theexpressionAtwhere a = 0.30Xsaturation value110This analysis applies to prescription drugs, of which you take a certainamount each day. Suppose that you take 0.100 g of a drug three times a dayand that the half-life for elimination is 2.0 days. Using this equation, calculatethe mass of the drug in the body at saturation. Suppose further that side ef-fects show up when 0.500 g of the drug accumulates in the body. As a phar-macist, what is the maximum dosage you could assign to a patient for an 8-hperiod without causing side effects?

Amount of drugs taken = 0.1g Drug is taken 3 times a day. 1day = 24hr Mass of drug accumulated =…

Answered: In a first –order reaction, suppose…

Chemistry: Principles and Reactions

8th Edition

ISBN:9781305079373

Author:William L. Masterton, Cecile N. Hurley

Publisher:William L. Masterton, Cecile N. Hurley

Chapter11: Rate Of Reaction

Section: Chapter Questions

Problem 104QAP: In a first-order reaction, suppose that a quantity X of a reactant is added at regular intervals of...

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In a first –order reaction, suppose that a quantity X of a reactant is added at regular intervals
of time, Δt. At first the amount of reactant in the system builds up; eventually, however, it levels
off at a saturation value given by the expression

Saturation value = x / (1 -10-a) where a = 0.30 Δt/t1/2

This analysis applies to prescription drugs, of which you take a certain amount each day. Suppose
that you take 0.100 g of a drug three times a day and that the half-life for elimination is 2.0 days.
Using this equation, calculate the mass of the drug in the body at saturation. Suppose further
that side effects show up when 0.500 g of the drug accumulates in the body. As a pharmacist,
what is the maximum dosage you could assign to a patient for an 8-h period without causing side
effects?

104. In a first-order reaction, suppose that a quantity X of a reactant is added
at regular intervals of time, At. At first the amount of reactant in the system
builds up; eventually, however, it levels off at a saturation value given by the
expression
At
where a = 0.30
X
saturation value
1
10
This analysis applies to prescription drugs, of which you take a certain
amount each day. Suppose that you take 0.100 g of a drug three times a day
and that the half-life for elimination is 2.0 days. Using this equation, calculate
the mass of the drug in the body at saturation. Suppose further that side ef-
fects show up when 0.500 g of the drug accumulates in the body. As a phar-
macist, what is the maximum dosage you could assign to a patient for an 8-h
period without causing side effects?

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