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The count rate of a 10 ml radioactive liquid is C. Some of the liquid is now discarded. The count rate of the remaining liquid is found to be C/10 after three half-lives. Calculate the volume of the remaining liquid (in-ml)

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Detailed Solution

for 10 ml sample −dNdt=aFor 10 ml sample −dNdtafter three Half life = a8Suppose the amount of liquid left after removing some liquid = x mlFor x ml sample the activity after three half lives =ax80=a10X= 8 ml

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The count rate of a 10 ml radioactive liquid is C. Some of the liquid is now discarded. The count rate of the remaining liquid is found to be C/10 after three half-lives. Calculate the volume of the remaining liquid (in-ml)