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A sample of 53I131, as iodide ion, was administered to a patient in a carrier consisting of 0.10 mg of stable iodide ion. After 4.00 days, 67.7% of the initial radioactivity was detected in the thyroid gland of the patient. What mass (in mg) of the stable iodide ion had migrated to the thyroid gland?
Given T1/2 I131 = 8 days. [rounded up to three decimal places]
Given T1/2 I131 = 8 days. [rounded up to three decimal places]
Correct answer is between '0.094,0.096'. Can you explain this answer?
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A sample of 53I131, as iodide ion, was administered to a patient in a ...
Given information:
- Sample of 53I131 administered to a patient in a carrier consisting of 0.10 mg of stable iodide ion.
- After 4.00 days, 67.7% of the initial radioactivity was detected in the thyroid gland of the patient.
- Half-life of I131 is 8 days.
To find:
Mass (in mg) of the stable iodide ion that had migrated to the thyroid gland.
Solution:
Step 1: Calculate the initial activity of the sample.
We know that after 4.00 days, 67.7% of the initial radioactivity was detected in the thyroid gland. Using this information, we can calculate the initial activity of the sample.
Let A0 be the initial activity and A4 be the activity after 4.00 days.
A4 = 67.7% of A0
A4 = (67.7/100) * A0
A0 = A4 / (67.7/100)
A0 = A4 / 0.677
Step 2: Calculate the half-life in seconds.
The half-life of I131 is given as 8 days. We need to convert it into seconds.
1 day = 24 hours
1 hour = 60 minutes
1 minute = 60 seconds
Half-life (t1/2) = 8 days
t1/2 = 8 * 24 * 60 * 60 seconds
Step 3: Calculate the decay constant (λ).
Decay constant (λ) = 0.693 / t1/2
Step 4: Calculate the activity after 4.00 days (A4) in terms of the initial activity (A0).
The decay equation is given by:
A = A0 * exp(-λt)
Where A is the activity at time t.
For t = 4.00 days, A = 67.7% of A0
67.7/100 = exp(-λ * 4.00 * 24 * 60 * 60)
exp(-λ * 4.00 * 24 * 60 * 60) = 67.7/100
λ = -ln(67.7/100) / (4.00 * 24 * 60 * 60)
Step 5: Calculate the mass of stable iodide ion that migrated to the thyroid gland.
We know that the carrier consisted of 0.10 mg of stable iodide ion.
Let m be the mass of stable iodide ion that migrated to the thyroid gland.
Using the decay equation, we can relate the activity to the mass:
A = λm
m = A / λ
Substituting the values, we get:
m = A4 / λ
Step 6: Calculate the final answer.
Substitute the values of A4 and λ into the equation to calculate the mass of stable iodide ion that migrated to the thyroid gland.
m = A4 / λ
m = A4 / (-ln(67.7/100) / (4.00 * 24 * 60 * 60))
Calculate the value to get the final answer. The correct answer should be between 0.094 and
- Sample of 53I131 administered to a patient in a carrier consisting of 0.10 mg of stable iodide ion.
- After 4.00 days, 67.7% of the initial radioactivity was detected in the thyroid gland of the patient.
- Half-life of I131 is 8 days.
To find:
Mass (in mg) of the stable iodide ion that had migrated to the thyroid gland.
Solution:
Step 1: Calculate the initial activity of the sample.
We know that after 4.00 days, 67.7% of the initial radioactivity was detected in the thyroid gland. Using this information, we can calculate the initial activity of the sample.
Let A0 be the initial activity and A4 be the activity after 4.00 days.
A4 = 67.7% of A0
A4 = (67.7/100) * A0
A0 = A4 / (67.7/100)
A0 = A4 / 0.677
Step 2: Calculate the half-life in seconds.
The half-life of I131 is given as 8 days. We need to convert it into seconds.
1 day = 24 hours
1 hour = 60 minutes
1 minute = 60 seconds
Half-life (t1/2) = 8 days
t1/2 = 8 * 24 * 60 * 60 seconds
Step 3: Calculate the decay constant (λ).
Decay constant (λ) = 0.693 / t1/2
Step 4: Calculate the activity after 4.00 days (A4) in terms of the initial activity (A0).
The decay equation is given by:
A = A0 * exp(-λt)
Where A is the activity at time t.
For t = 4.00 days, A = 67.7% of A0
67.7/100 = exp(-λ * 4.00 * 24 * 60 * 60)
exp(-λ * 4.00 * 24 * 60 * 60) = 67.7/100
λ = -ln(67.7/100) / (4.00 * 24 * 60 * 60)
Step 5: Calculate the mass of stable iodide ion that migrated to the thyroid gland.
We know that the carrier consisted of 0.10 mg of stable iodide ion.
Let m be the mass of stable iodide ion that migrated to the thyroid gland.
Using the decay equation, we can relate the activity to the mass:
A = λm
m = A / λ
Substituting the values, we get:
m = A4 / λ
Step 6: Calculate the final answer.
Substitute the values of A4 and λ into the equation to calculate the mass of stable iodide ion that migrated to the thyroid gland.
m = A4 / λ
m = A4 / (-ln(67.7/100) / (4.00 * 24 * 60 * 60))
Calculate the value to get the final answer. The correct answer should be between 0.094 and
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A sample of 53I131, as iodide ion, was administered to a patient in a carrier consisting of 0.10 mg of stable iodide ion. After 4.00 days, 67.7% of the initial radioactivity was detected in the thyroid glandof the patient. What mass (in mg) of the stable iodide ion had migrated to the thyroid gland?Given T1/2 I131 = 8 days. [rounded up to three decimal places]Correct answer is between '0.094,0.096'. Can you explain this answer?
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A sample of 53I131, as iodide ion, was administered to a patient in a carrier consisting of 0.10 mg of stable iodide ion. After 4.00 days, 67.7% of the initial radioactivity was detected in the thyroid glandof the patient. What mass (in mg) of the stable iodide ion had migrated to the thyroid gland?Given T1/2 I131 = 8 days. [rounded up to three decimal places]Correct answer is between '0.094,0.096'. Can you explain this answer? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about A sample of 53I131, as iodide ion, was administered to a patient in a carrier consisting of 0.10 mg of stable iodide ion. After 4.00 days, 67.7% of the initial radioactivity was detected in the thyroid glandof the patient. What mass (in mg) of the stable iodide ion had migrated to the thyroid gland?Given T1/2 I131 = 8 days. [rounded up to three decimal places]Correct answer is between '0.094,0.096'. Can you explain this answer? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sample of 53I131, as iodide ion, was administered to a patient in a carrier consisting of 0.10 mg of stable iodide ion. After 4.00 days, 67.7% of the initial radioactivity was detected in the thyroid glandof the patient. What mass (in mg) of the stable iodide ion had migrated to the thyroid gland?Given T1/2 I131 = 8 days. [rounded up to three decimal places]Correct answer is between '0.094,0.096'. Can you explain this answer?.
A sample of 53I131, as iodide ion, was administered to a patient in a carrier consisting of 0.10 mg of stable iodide ion. After 4.00 days, 67.7% of the initial radioactivity was detected in the thyroid glandof the patient. What mass (in mg) of the stable iodide ion had migrated to the thyroid gland?Given T1/2 I131 = 8 days. [rounded up to three decimal places]Correct answer is between '0.094,0.096'. Can you explain this answer? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about A sample of 53I131, as iodide ion, was administered to a patient in a carrier consisting of 0.10 mg of stable iodide ion. After 4.00 days, 67.7% of the initial radioactivity was detected in the thyroid glandof the patient. What mass (in mg) of the stable iodide ion had migrated to the thyroid gland?Given T1/2 I131 = 8 days. [rounded up to three decimal places]Correct answer is between '0.094,0.096'. Can you explain this answer? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sample of 53I131, as iodide ion, was administered to a patient in a carrier consisting of 0.10 mg of stable iodide ion. After 4.00 days, 67.7% of the initial radioactivity was detected in the thyroid glandof the patient. What mass (in mg) of the stable iodide ion had migrated to the thyroid gland?Given T1/2 I131 = 8 days. [rounded up to three decimal places]Correct answer is between '0.094,0.096'. Can you explain this answer?.
Solutions for A sample of 53I131, as iodide ion, was administered to a patient in a carrier consisting of 0.10 mg of stable iodide ion. After 4.00 days, 67.7% of the initial radioactivity was detected in the thyroid glandof the patient. What mass (in mg) of the stable iodide ion had migrated to the thyroid gland?Given T1/2 I131 = 8 days. [rounded up to three decimal places]Correct answer is between '0.094,0.096'. Can you explain this answer? in English & in Hindi are available as part of our courses for Chemistry.
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A sample of 53I131, as iodide ion, was administered to a patient in a carrier consisting of 0.10 mg of stable iodide ion. After 4.00 days, 67.7% of the initial radioactivity was detected in the thyroid glandof the patient. What mass (in mg) of the stable iodide ion had migrated to the thyroid gland?Given T1/2 I131 = 8 days. [rounded up to three decimal places]Correct answer is between '0.094,0.096'. Can you explain this answer?, a detailed solution for A sample of 53I131, as iodide ion, was administered to a patient in a carrier consisting of 0.10 mg of stable iodide ion. After 4.00 days, 67.7% of the initial radioactivity was detected in the thyroid glandof the patient. What mass (in mg) of the stable iodide ion had migrated to the thyroid gland?Given T1/2 I131 = 8 days. [rounded up to three decimal places]Correct answer is between '0.094,0.096'. Can you explain this answer? has been provided alongside types of A sample of 53I131, as iodide ion, was administered to a patient in a carrier consisting of 0.10 mg of stable iodide ion. After 4.00 days, 67.7% of the initial radioactivity was detected in the thyroid glandof the patient. What mass (in mg) of the stable iodide ion had migrated to the thyroid gland?Given T1/2 I131 = 8 days. [rounded up to three decimal places]Correct answer is between '0.094,0.096'. Can you explain this answer? theory, EduRev gives you an
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