Question 10.2: Make a logarithmic plot of the effective half-life of xenon-......

The effective half-life of xenon is given by t_{1/2}^{\prime}=0.693\,/\,\lambda^{\prime}\,. From Eq. (10.9)

\lambda_{X}^{\prime}=\lambda_{X}+\sigma_{a X}\phi

\lambda_{X}=0.693/t_{1/2X}=0.693/9.2=0.0753\,\mathrm{hr}^{-1}

=0.0753\,\mathrm{h}\mathrm{r}^{-1}\,/\,3600\, s\ \ \mathrm{h}\mathrm{r}^{-1}=2.09\cdot10^{-5}\mathrm{~s}^{-1}

and   \sigma_{a X}=2.65.10^{6}\ {\mathrm{b}}

\lambda_{X}^{\prime}=2.09\cdot10^{-5}+2.65\cdot10^{-18}\phi~~~s^{-1}

t_{1/2X}^{\prime}=0.693/(2.09\cdot10^{-5}+2.65.10^{-18}\phi)~{\mathrm{s}}

t_{1/2X}^{\prime}=1/(3.02.10^{-5}+3.82.10^{-18}\phi)\,\,{\mathrm{s}}

t_{1/2X}^{\prime}=1/(10.87\cdot10^{-2}+13.7\cdot10^{-15}\phi)\ \mathrm{hr}