`._(15)P^(32)` is beta active and has a short half life of 14 days. The `._(16)S^(12)` nucleus produced is in ground state. On and average the emitted beta particles have 50% of the energy released in the reaction, remaining energy being carried by antineutrino. A liquid has small amount amount of P in it and it was found taht the liquid was receiving heat at a rate of about found that the liquid was receiving heat at a rate of about 10mW due to decay of `P^(32)`. It is to be noted that antineutrino do not intereact with matter easily and it would be safe to assume that they escape out of the contaienr. Estimate the number of `P^(32)` atom in the liquid. Relavent masses are
`P^(32):31.9740u S^(32):31.9720u e:0.0005u`
`1"day"=86400 s 1u=(931MeV)/(c^(2))`

Answer

`1.56xx10^(17)`