Radioactive disintegration isa first order reaction and it's rate depends only upon the nature of nucleus and does not depend upon external factors like temperature and pressure . The rate of radioactive disintegration (Activity) is represented as - (dN)/(dt) = lambda N , Where lambda = decay constant , N number of nuclei at time t, N_(0) = initial no. of nuclei. The above equation after integration can be represented as lambda = (2.303)/(t) "log" ((N_(0))/(N)) What is the activity in Ci (curie) of 1.0 mole of Plutonium - 239 ? (t_(1//2) = 24,000 years)

Radioactive disintegration isa first order reaction and it's rate depe

1.	Radioactive disintegration isa first order reaction and it's rate depends only upon the nature of nucleus and does not depend upon external factors like temperature and pressure . The rate of radioactive disintegration (Activity) is represented as - (dN)/(dt) = lambda N , Where lambda = decay constant , N number of nuclei at time t, N_(0) = initial no. of nuclei. The above equation after integration can be represented as lambda = (2.303)/(t) "log" ((N_(0))/(N)) What is the activity in Ci (curie) of 1.0 mole of Plutonium - 239 ? (t_(1//2) = 24,000 years)
Answer» 1.49 Ci 14.9 Ci `5.513 xx 10^(11) Ci ` NONE of these Solution :`A = lambda N , ((0.693)/(24000 xx 365 xx 24 xx 60 xx 60)) xx ((6 xx 10^(23))/(3.7 xx 10^(20))) cm^(-2)` `= 1484.79 xx 10^(13-15) = 1484. 79 xx 10^(-2) = 14.85 C `