Need Help with Units (Updated) I am trying to iteratively calculate the Closure Temperature (Tc) of an arbitrary radiogenic isotope system given the activation energy (E), diffusivity (d_o/a^2), and cooling rate (dT/dt). Values are: Closure Temp (Tc): 600C = 873.15K (A random number I picked for the first iteration) Activation Energy (E): 50000 cal/mol Ideal Gas Constant: 1.987 cal*K/mol A: 55 (unitless) Diffusivity (D(nought)/a^2): 100 cm^2/s Cooling Rate (dt/dT): 10 deg. C / million years = (3.171*10^ -13) deg. C / second Important note: Our professor said that D(nought) units will cancel Cooling rate (dt/dT) units. I've gotten it down to: Im having the most trouble converting C to K. Our answer for Tc should be in degrees Celcius and we are to plot Tc as a function of cooling rate.

answer: the correct answer is 1.

explanation: there are various process in which a radioactive nuclei decays:

1) alpha decay: in this process, a heavier nuclei decays into lighter nuclei by releasing alpha particle. the mass number is reduced by 4 units.

2) electron capture: in this decay process, a parent nuclei absorbs an electron and gets converted into a neutron. simply, a proton and an electron combines together to form a neutron. mass number does not change in this process.

3) gamma ray emission: it is a decay process in which an unstable nuclei gives excess energy by a spontaneous electromagnetic process. this decay releases . this process does not change the mass number.

4) positron emission: it is a type of decay process, in which a proton gets converted to neutron and an electron neutrino. this is also known as -decay. in this the mass number remains same.

from the above information, we see that only alpha-decay is producing a change in the mass number of the nucleus.

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