Question

Problem #1b (10 points) The stability of CI with respect to alpha, beta-plus and beta-minus decay is to be determined. The following atomic masses are known: 15 He: 4.002603 u 32P:31.973907 u 36 S:35.967081 u 36C1: 35.968307 u Ar:35.967546 u 16 17 38 18 Is the Cl nucleus subject to beta-plus decay only, beta-minus decay only, beta-minus or beta- plus, alpha-decay only, or none of these? Explain why. Show your work for full credit.

Answer 1

Soin let us first start with the given quantities. Here decay of 360 is to be determined He : 4.002603 U, 32P: 31.973907, 365: 35.96708 Iu 2 IS 16 36 ca: 35, 968307 , 38 Ar: 35.967546. 18 Now all the quantities are mentioned let us start with a decay 32 15 a decay pa p + 4 He exeergy a value (31.973907+4.002603 - 35.968307 ) × 931-5 Mev = - 923.086 Mev since the value is ove the reaction will not happen spontaniously it will be stable wort decay en dood besked. posible * ß decay Ar + ß x 36 38 U 17 18 a value ( 35.967546 + 5.5X10-935968307) X 931.5 Mev 2431 Mev Here also it is negative it is stable wor.d to me ß decay eercotepagesebulen

taking ßt decay Stßt 16 Q value ( 35.967081 +5x10-4- 35-967546) - 1 142 mer 36 17 Since it is - ve it is stable wort to decay