pls help 3. (4 marks) One of the most harmful radioactive waste spilled by the C

Question

pls help

3. (4 marks) One of the most harmful radioactive waste spilled by the Chernobyl Disaster was an isotope of iodine: 13II. Assume a resident in the Chernobyl area picked up a grain (1 microgram) of pure 131I in his hair after the explosion, approximately how many decays would have happened in the grain in the first 8 days? (131 grams of 1311 contains 6.02 × 1023 atoms) 4. (3 marks) A skull of an ancient ape was measured to have 1/64 of the intensity of the C radiation that an ape living today has from its skull. Approximately how many years ago was this ape living? (5 marks) What is the mass of a proton, the mass of a neutron, and the mass of an alpha particle? If we directly fuse 2 protons and 2 neutrons (which results in 1 alpha particle), how much energy would be released? If this energy is fully converted to the kinetic energy of the alpha particle, what would be the speed of the particle (ignore relativity for this part)? 5.

Explanation / Answer

3. for any radioactive isotope

N = Noe^(-lambda*t)

so decays in the first 8 days = (No - N) = No(1 - e^(-lambda*8))

for 131 I , lambda = ln(2)/8.02 days = 0.086 per day

hence

0.4991349No decays

but No = 10^-6/131 moles = 10^-6*6.022*10^23/131

hence

numebro f decays in the first 8 days = 2.2944*10^15 decays

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