The isotope 176Lu undergoes betadecay to 176Hf with a long h

The isotope 176Lu undergoes beta-decay to 176Hf with a long half-life. From a plot of 176Hf/177Hf (y axis) versus 176Lu/177Hf (x axis) for a suite of meteorites, Patchett and Tatsumoto (1980) obtained a 10-point isochron with a slope of 0.0934 and an initial 176Hf/177Hf ratio of 0.27973. The age of the meteorites is known to be 4550 Ma. Calculate the half-life of 176Lu decay.

Solution

for isochronic dating we have: (T/H)=ln(m+1)/ln2 where T=age of the sample,,H=half life,m= slope of the plot obtained. so,we have using the relevent datas,the half life is:35.7Ga