(4) (i) Using the solar compositions from Lecture 3, derive the mean atomic mass of stellar material and the number of free electrons per nucleon for the Sun (ii) Repeat this calculation assuming the cases of a) all Hydrogen, b) all Helium, and c) all heavy elements.
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- 12) Compute the approximate nuclear radius of germanium (A = 70)Half of the mass of a piece of wood just cut from a tree consists of carbon. The piece of wood emits 9322 electrons per minute and among the elements that compose it only one is radioactive. Assuming that in a tree the isotopic abundance of ¹4C is 1.3 x 10-¹2, 14 estimate the weight of the piece of wood in grams to 1dpQ3) This problem uses the semi-empirical mass formula to investigate the masses of isobars with A=100 and their decays. ) Using the semi-empirical mass formula (SEMF) for atomic masses, predict the isobar of A=100 with the lowest mass. 100- II) The mass of Tc is 99.90765 u compared to 99.9042197 u for 9Ru. Which terms in the SEMF change between the two nuclei? Calculate the change in each contribution. Compare the overall difference in mass for the two nuclei predicted by the SEMF with the experimental value for the difference in mass. 100 424 III) List the possible decay modes for Tc and the energy released in each decay. Note, 22Mo has a mass of 99.907477 u. C M Is it possible for 299Mo to decay and if so, how?
- 4. From van der Waals equation, using (2²) ₁ = =0= (OVD), T a = ² - RT₁Vmc Show that and Tc b 8a 27Rb Vmc 3 5. Show that the Lennard-Jones energy -(1) a Pc = 27b²² ----(ii) has a minimum value equal to - e at r = 2¹/6σ. Vmc = 3b 12 U₁, (r) = 4€ [(-) ¹² - ()]11) Find the nuclear radius of Helium.please solve question 3
- I need the answer as soon as possibleContinued here: A) How long will it take the water to boil? please help solve this question238 UJess stable than carbon-12 Why is the uranium-238 nucleus nucleus (12 C? Give an explanation by referring to the repulsive coulomb force and the binding energy per nucleon. 92 (Given mass of neutron, m,=1.00867 u ; mass of proton, m,=1.00782 u ; speed of light in vacuum, c=3.00x 10° m st; atomic mass of carbon-12, M=12.00000 u and atomic mass of uranium-238, M=238.05079 u )
- It is handy to have an equation to quickly determine the number of atoms left in a radioactive sample as a function of time. For this we can divide the initial amount by two for every half-life of time, the following equation does exactly that: No No 2 1/2 (21/2) where Nois the initial number of atoms at t=0, t is time passed and is the half-life. Use the above equation to help you answer the question below. Substance X has a half-life of 10 years, if you start with 1000 grams, how much will be left after 100 years? (Give your answer in units of grams)4. I have two isotopes A and A' of an element with half-lives T1/2 and Ti/2 respectively. (a) Show that with time, the amount of A' relative to A is NA: (t) f (t) = NA (t) = f (0) exp (2) T' (b) The half-lives of 238U and 235U are 4.5 billion years and 700 million years, respectively. Natural uranium is currently about 97.3% 238U and 0.7% 235U . Based on the formula in (a), how long ago would you have been able to build an atomic bomb out of natural uranium ore, given that "weapons grade" uranium is at least 80% 235U? [MY]4. I have two isotopes A and A' of an element with half-lives T/2 and Ti2 respectively. (a) Show that with time, the amount of A' relative to A is NA (t) f (t) = NA (t) = f (0) exp In (2) ( (b) The half-lives of 238U and 235U are 4.5 billion years and 700 million years, respectively. Natural uranium is currently about 97.3% 238U and 0.7% 235U. Based on the formula in (a), how long ago would you have been able to build an atomic bomb out of natural uranium ore, given that "weapons grade" uranium is at least 80% 235U? [MY]