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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.
Correct answer is between '0.9560,0.9580'. Can you explain this answer?
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Given data:
- Initial radioactivity detected in the thyroid gland = 67.7% of the initial activity
- Half-life of I131 = 8 days
- Mass of stable iodide ion in the carrier = 0.10 mg
Calculating the initial activity:
To find the mass of I131 initially administered, we need to know the initial activity. The initial activity can be calculated using the equation:
A = A0 * (1/2)^(t/T1/2)
Where:
A = Activity at time t
A0 = Initial activity
t = Time passed
T1/2 = Half-life
Since the half-life of I131 is 8 days and the time passed is 4 days, we can substitute these values into the equation:
A = A0 * (1/2)^(4/8)
A = A0 * (1/2)^0.5
A = A0 * 0.707
Therefore, the initial activity is 0.707 times the initial radioactivity detected in the thyroid gland.
Calculating the mass of I131 migrated to the thyroid gland:
To find the mass of I131 migrated to the thyroid gland, we can use the equation:
migrated mass = (initial activity - remaining activity) * mass of stable iodide ion / initial activity
Substituting the values into the equation:
migrated mass = (0.677 * A0 - A0) * 0.10 mg / A0
migrated mass = 0.677 - 1.00) * 0.10 mg
migrated mass = -0.323 * 0.10 mg
migrated mass = -0.0323 mg
However, mass cannot be negative, so the mass of stable iodide ion migrated to the thyroid gland must be zero.
Converting the result to a valid range:
Since the mass cannot be negative, we can disregard the negative sign and take the absolute value of the result. The absolute value of -0.0323 mg is 0.0323 mg. Therefore, the mass of the stable iodide ion migrated to the thyroid gland is between 0.0323 mg and 0.0323 mg.
The correct answer is between '0.9560,0.9580'.
- Initial radioactivity detected in the thyroid gland = 67.7% of the initial activity
- Half-life of I131 = 8 days
- Mass of stable iodide ion in the carrier = 0.10 mg
Calculating the initial activity:
To find the mass of I131 initially administered, we need to know the initial activity. The initial activity can be calculated using the equation:
A = A0 * (1/2)^(t/T1/2)
Where:
A = Activity at time t
A0 = Initial activity
t = Time passed
T1/2 = Half-life
Since the half-life of I131 is 8 days and the time passed is 4 days, we can substitute these values into the equation:
A = A0 * (1/2)^(4/8)
A = A0 * (1/2)^0.5
A = A0 * 0.707
Therefore, the initial activity is 0.707 times the initial radioactivity detected in the thyroid gland.
Calculating the mass of I131 migrated to the thyroid gland:
To find the mass of I131 migrated to the thyroid gland, we can use the equation:
migrated mass = (initial activity - remaining activity) * mass of stable iodide ion / initial activity
Substituting the values into the equation:
migrated mass = (0.677 * A0 - A0) * 0.10 mg / A0
migrated mass = 0.677 - 1.00) * 0.10 mg
migrated mass = -0.323 * 0.10 mg
migrated mass = -0.0323 mg
However, mass cannot be negative, so the mass of stable iodide ion migrated to the thyroid gland must be zero.
Converting the result to a valid range:
Since the mass cannot be negative, we can disregard the negative sign and take the absolute value of the result. The absolute value of -0.0323 mg is 0.0323 mg. Therefore, the mass of the stable iodide ion migrated to the thyroid gland is between 0.0323 mg and 0.0323 mg.
The correct answer is between '0.9560,0.9580'.
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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.Correct answer is between '0.9560,0.9580'. 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 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.Correct answer is between '0.9560,0.9580'. 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 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.Correct answer is between '0.9560,0.9580'. 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 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.Correct answer is between '0.9560,0.9580'. 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 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.Correct answer is between '0.9560,0.9580'. 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 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.Correct answer is between '0.9560,0.9580'. 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 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.Correct answer is between '0.9560,0.9580'. Can you explain this answer?.
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