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Chemical Kinetics

Question
CBSEENCH12010963
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The half-life of a radioisotope is four hours. If the initial mass of the isotope was 200 g, the mass remaining after 24 hours undecayed is

  • 1.042 g

  • 4.167 g

  • 3.125 g

  • 2.084 g

Solution

C.

3.125 g

If y = number of half-lives
therefore space straight y space equals space fraction numerator total space time over denominator half space minus life end fraction space equals space 24 over 4 space equals space 6 straight C space equals space amount space left space after space straight y space half minus space life straight C subscript straight o space equals space initial space amount therefore space straight C space equals space straight C subscript straight o space open parentheses 1 half close parentheses to the power of straight y space equals space 200 space open parentheses 1 half close parentheses to the power of 6 space equals space 3.125 space straight g

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