Chapter 14 FE EXAM FORMATTED PROBLEMS 14-1. The radioactive intensity measured 12 m from a spill is 18,000 times the safe level. At what distance must a safe perimeter be established to prevent access during the cleanup? Using Eq. 14-22 r I 2 I 1 r2 2 12 m I 2 18000 I 2 r2 144 0.000056 2 r2 2 144 0.000056 r2 1.61 10 3 m r2 2 14-2. Determine the radioactive decay constant for radon. The half-life is 3.825d. Using Eq. 14-7 ln 2 0.693 0.181d 1 T1/ 2 3.825 d 14-3. If the sewer discharge standard for phosphorus-32 is 9x10-6 μCi/mL, how long must a solution containing 0.60 μCi/mL be held to meet the discharge standard? The half-life of phosphorus-32 is 14.3d. Using Eq. 14-6 0.693 0.048 d 1 14.3d 9 10 6 Ci / mL (0.6Ci / L)(10 3 L / mL )e ( 0.048d 1 )t 1 0.015 e ( 0.048d )t 4.20 0.048t t 87.49 d or 88 days 14-4. What particle is emitted in the decay shown below? 238 92U 234 92Th From Eq. 14-2 An Alpha particle is emitted since: A A4 4 Z X Z 2 X 2 He