Q.

How much heat would be developed per hour from 1 curie of C14 source if all the energy of beta decay were imprisoned?Atomic masses of C14 and N14 are 14.00324 and 14.00307 amu respectively.

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a

3.36 J

b

3.37 J

c

3.38 J

d

3.39 J

answer is B.

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Detailed Solution

6C14→7N14+−1e0Δm=14.00324−14.00307=0.00017amu.'. Energy produced during this decay of I atom=Δm×931.478MeV=0.00017×931.478MeV=0.158MeV=0.158×106eV=0.158×1.602×10−19J=2.53×10−14J Now, 1 curie of C14 means decay of 3.70×1010dps. Thus, energy produced during decay of 1 curie mass of C14=3.70×1010×2.53×10−14Js−1=9.36×10−4J∴ Energy produced during 1 hr.=9.36×10−4×60×60=3.37J
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