96. Water pollution. The use of iodine crystals is a popular way of making small quantities of water safe to drink. Crystals placed in a 1-ounce bottle of water will dissolve until the solution is saturated. After saturation, half of the solution is poured into a quart container of water, and after about an hour, the water is usually safe to drink. The half-empty 1-ounce bottle is then refilled, to be used again in the same way. Suppose that the concentration of iodine in the 1-ounce bottle t minutes after the crystals are introduced can be approximated by C(t) = 250(1-e) t≥ 0 where C(t) is the concentration of iodine in micrograms per milliliter. (A) What is the rate of change of the concentration after 1 minute? After 4 minutes? (B) Graph C for 0 ≤t ≤ 5.
96. Water pollution. The use of iodine crystals is a popular way of making small quantities of water safe to drink. Crystals placed in a 1-ounce bottle of water will dissolve until the solution is saturated. After saturation, half of the solution is poured into a quart container of water, and after about an hour, the water is usually safe to drink. The half-empty 1-ounce bottle is then refilled, to be used again in the same way. Suppose that the concentration of iodine in the 1-ounce bottle t minutes after the crystals are introduced can be approximated by C(t) = 250(1-e) t≥ 0 where C(t) is the concentration of iodine in micrograms per milliliter. (A) What is the rate of change of the concentration after 1 minute? After 4 minutes? (B) Graph C for 0 ≤t ≤ 5.
Introductory Chemistry: An Active Learning Approach
6th Edition
ISBN:9781305079250
Author:Mark S. Cracolice, Ed Peters
Publisher:Mark S. Cracolice, Ed Peters
Chapter16: Solutions
Section: Chapter Questions
Problem 32E
Related questions
Question
![96. Water pollution. The use of iodine crystals is a popular way
of making small quantities of water safe to drink. Crystals
placed in a 1-ounce bottle of water will dissolve until the
solution is saturated. After saturation, half of the solution
is poured into a quart container of water, and after about
an hour, the water is usually safe to drink. The half-empty
1-ounce bottle is then refilled, to be used again in the same
way. Suppose that the concentration of iodine in the 1-ounce
bottle t minutes after the crystals are introduced can be
approximated by
C(t) = 250(1-e)
t≥ 0
where C(t) is the concentration of iodine in micrograms
per milliliter.
(A) What is the rate of change of the concentration after
1 minute? After 4 minutes?
(B) Graph C for 0 ≤t ≤ 5.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F31713cb1-4623-482d-b36a-4cdfd63e0933%2F811cbf82-9e1d-4312-ae58-f1a3fa409e15%2F6w92mzl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:96. Water pollution. The use of iodine crystals is a popular way
of making small quantities of water safe to drink. Crystals
placed in a 1-ounce bottle of water will dissolve until the
solution is saturated. After saturation, half of the solution
is poured into a quart container of water, and after about
an hour, the water is usually safe to drink. The half-empty
1-ounce bottle is then refilled, to be used again in the same
way. Suppose that the concentration of iodine in the 1-ounce
bottle t minutes after the crystals are introduced can be
approximated by
C(t) = 250(1-e)
t≥ 0
where C(t) is the concentration of iodine in micrograms
per milliliter.
(A) What is the rate of change of the concentration after
1 minute? After 4 minutes?
(B) Graph C for 0 ≤t ≤ 5.
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