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A sample of ._(131)^(53) I is iodide ion was admistered to a patient in a carrier consisting of 0.10 mg of stable iiodide ion. After 4 day 67.7% of initial radioactivity was detected in the throidgland of the patient. What mass of stable iodide ion hadmigrated to thyroid glad? (t_(1//2) for iodide ion = 8 day)

Answer» <html><body><p></p>Solution :If `t = 4`day, `lambda = (0.693)/(<a href="https://interviewquestions.tuteehub.com/tag/8-336412" style="font-weight:bold;" target="_blank" title="Click to know more about 8">8</a>)`, then since `r_(0) prop N_(0)` and `r prop N` <br/> `:. (r_(0))/(r) = (N_(0))/(N)` <br/> `:. t = (2.303)/(lambda) log (r_(0))/(r)` <br/> `4 = (2.303xx8)/(0.693) log (1)/(0.693) log(r_(0))/(r)` <br/> `r = 0.707 r_(0)` <br/> Thus iodide <a href="https://interviewquestions.tuteehub.com/tag/ion-1051153" style="font-weight:bold;" target="_blank" title="Click to know more about ION">ION</a> left is `0.707` part of intially injected sample, <a href="https://interviewquestions.tuteehub.com/tag/however-1032379" style="font-weight:bold;" target="_blank" title="Click to know more about HOWEVER">HOWEVER</a> the <a href="https://interviewquestions.tuteehub.com/tag/rate-1177476" style="font-weight:bold;" target="_blank" title="Click to know more about RATE">RATE</a> decreases only `67.7%` or `0.688` in 4 days, thus <br/> If `0.707` is left then iodidie ion migrated to thryorid `=1` Thus `0.677`is left than iodide ion migrated to thyroid <br/> `= (1xx0677)/(0.707) = 0.958` or `95.8%` <br/> of the iodide ion is migrated to gland.</body></html>


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