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Q.

A certain radioisotope X (T50 =10 days) decays to give A4Z2Y If one g atom of  ZAX is kept in a sealed vessel, how much helium will accumulate in 20 days at STP?

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a

22.4 L

b

11.2 L

c

16.8 L

d

44.8 L

answer is C.

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Detailed Solution

 ZAXZ2A4Y+24He

 ZAX left after 20 days (two half-lives)

C=C012y=1122=14

Thus, He formed =ZAX decomposed =114=34g atoms

Thus, helium formed at STP =22.4×34=16.8L

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