A) 66 min
B) 52 min
C) 62 min
D) 72 min
Correct Answer: C
Solution :
| [c] \[A={{A}_{0}}{{e}^{-\,t\ln \,2/{{T}_{1/2}}}}\] |
| \[\Rightarrow \,500\,=700\,{{e}^{-\,t\ln \,2/{{T}_{1/2}}}}\] |
| \[\Rightarrow \,\ln \,\frac{7}{5}\,=\frac{30\,\ln \,2}{{{T}_{1/2}}}\Rightarrow \,{{T}_{1/2}}\,=30\,\frac{\ln \,2}{\ln 1.4}\,=61.8\] |
| \[\Rightarrow \,\,{{T}_{1/2}}\,\approx 62\]minutes |
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