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The half-life of a radioactive isotope is three hours. If the initial mass of the isotope were 256 g,the mass of it remaining undecayed after 18 hours would be
- a)4.0 g
- b)8.0 g
- c)12.0 g
- d)16.0
Correct answer is option 'A'. Can you explain this answer?
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The half-life of a radioactive isotope is three hours. If the initial ...
Half-life of radioactive isotope:
The half-life of a radioactive isotope is the time taken for half of the original number of atoms to decay. Half-life is a characteristic property of each radioactive isotope.
Given information:
Half-life of a radioactive isotope = 3 hours
Initial mass of the isotope = 256 g
Time elapsed = 18 hours
To find:
Mass of the isotope remaining undecayed after 18 hours
Solution:
1. Number of half-lives:
Number of half-lives elapsed = (time elapsed) / (half-life)
Number of half-lives elapsed = 18 / 3 = 6
2. Fraction of the original mass remaining:
Fraction of the original mass remaining = (1/2)^(number of half-lives)
Fraction of the original mass remaining = (1/2)^6 = 1/64
3. Mass remaining:
Mass remaining = (fraction of the original mass remaining) x (initial mass)
Mass remaining = (1/64) x 256 = 4 g
Therefore, the mass of the isotope remaining undecayed after 18 hours would be 4 g. The correct answer is option A.
The half-life of a radioactive isotope is the time taken for half of the original number of atoms to decay. Half-life is a characteristic property of each radioactive isotope.
Given information:
Half-life of a radioactive isotope = 3 hours
Initial mass of the isotope = 256 g
Time elapsed = 18 hours
To find:
Mass of the isotope remaining undecayed after 18 hours
Solution:
1. Number of half-lives:
Number of half-lives elapsed = (time elapsed) / (half-life)
Number of half-lives elapsed = 18 / 3 = 6
2. Fraction of the original mass remaining:
Fraction of the original mass remaining = (1/2)^(number of half-lives)
Fraction of the original mass remaining = (1/2)^6 = 1/64
3. Mass remaining:
Mass remaining = (fraction of the original mass remaining) x (initial mass)
Mass remaining = (1/64) x 256 = 4 g
Therefore, the mass of the isotope remaining undecayed after 18 hours would be 4 g. The correct answer is option A.
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Community Answer
The half-life of a radioactive isotope is three hours. If the initial ...
Nt = No{(1/2)^n}
Here, No=256g
n=(18/3)=6
So, Nt comes to (256/{1/2)^6}) = 256/64 = 4g (A)
Here, No=256g
n=(18/3)=6
So, Nt comes to (256/{1/2)^6}) = 256/64 = 4g (A)
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The half-life of a radioactive isotope is three hours. If the initial mass of the isotope were 256 g,the mass of it remaining undecayed after 18 hours would bea)4.0 gb)8.0 gc)12.0 gd)16.0Correct answer is option 'A'. Can you explain this answer?
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The half-life of a radioactive isotope is three hours. If the initial mass of the isotope were 256 g,the mass of it remaining undecayed after 18 hours would bea)4.0 gb)8.0 gc)12.0 gd)16.0Correct answer is option 'A'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The half-life of a radioactive isotope is three hours. If the initial mass of the isotope were 256 g,the mass of it remaining undecayed after 18 hours would bea)4.0 gb)8.0 gc)12.0 gd)16.0Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The half-life of a radioactive isotope is three hours. If the initial mass of the isotope were 256 g,the mass of it remaining undecayed after 18 hours would bea)4.0 gb)8.0 gc)12.0 gd)16.0Correct answer is option 'A'. Can you explain this answer?.
The half-life of a radioactive isotope is three hours. If the initial mass of the isotope were 256 g,the mass of it remaining undecayed after 18 hours would bea)4.0 gb)8.0 gc)12.0 gd)16.0Correct answer is option 'A'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The half-life of a radioactive isotope is three hours. If the initial mass of the isotope were 256 g,the mass of it remaining undecayed after 18 hours would bea)4.0 gb)8.0 gc)12.0 gd)16.0Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The half-life of a radioactive isotope is three hours. If the initial mass of the isotope were 256 g,the mass of it remaining undecayed after 18 hours would bea)4.0 gb)8.0 gc)12.0 gd)16.0Correct answer is option 'A'. Can you explain this answer?.
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The half-life of a radioactive isotope is three hours. If the initial mass of the isotope were 256 g,the mass of it remaining undecayed after 18 hours would bea)4.0 gb)8.0 gc)12.0 gd)16.0Correct answer is option 'A'. Can you explain this answer?, a detailed solution for The half-life of a radioactive isotope is three hours. If the initial mass of the isotope were 256 g,the mass of it remaining undecayed after 18 hours would bea)4.0 gb)8.0 gc)12.0 gd)16.0Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of The half-life of a radioactive isotope is three hours. If the initial mass of the isotope were 256 g,the mass of it remaining undecayed after 18 hours would bea)4.0 gb)8.0 gc)12.0 gd)16.0Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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