In the fission of 236U into two fragments A, and A, = 236 - A,, plot the Coulomb repulsion energy of the two fragments if they are formed just touching at their surfaces. Consider all values of A, from 1 to 235, and assume each fragment has the same Z/A ratio as 236U.
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- Solve the problem. 2) The decay of 989 mg of an isotope is given by A(t)= 989e-0.022t, where t is time in years.. Find the amount left after 40 years. Round to the nearest mg.3. In a pulse radiolysis experiment, H atoms are suddenly created in liquid ethanol (density 0.79 g cm) containing 8 mM ethene. The initial concentration of H atoms falls to half its value in 1.8 ns. Two different radical products are detected by ESR, CH;CH2 and CH;CHOH, in the ratio 1:3. H+ CH2=CH2 → CH3CH2 (1) H+ CH3CH2OH → H2 + CH3ĊHOH (2) Calculate the pseudo-first-order rate constant for H decay, and thence determine the second-order rate constants for reactions (1) and (2).2) Suppose that we have 100 cm' of water (p = 1g.cm"), which is D;0 in a proportion of %3! 0.015% (D stands for deuterium, or H). a) Compute the energy (in J) that would obtain from this sample if all the deuterium were to be consumed in the reaction H + H - 'H+p, which is known to release an energy output of 4.0 MeV. b) As an alternative, compute the energy (in J) that would be released if two-thirds of the deuterium were fused (according to the previous reaction) to form 'H, which then combines with the remaining one third according to the reaction H+ 'H → *He +n, known to release an energy output of 17.6 MeV. c) Which of the processes a) or b) produces more energy? Given: N = 6.022x10" mot P. ->
- Write the balace nuclear equatio to describe each reactionCalculate the ΔE in kJ/mol for the transmutation of M using the given molar masses: 189M74 → 185Q72 + 4He2 molar masses, g/mol: 189.0072 185.0045 4.0026 Enter your final answer in scientifc/exponential notation (e.g. 6.02e+23 or 1.66e-27); round off to TWO decimal places.Give the equation for quantum yield j. rate of formation of the singlet state rate of ith decay mechanism rate of ith decay mechanism rate of removal of the singlet state rate of ith decay mechanism rate of formation of the singlet state rate of removal of the singlet state rate of ith decay mechanism Step 4 of 6 Give the quantum yield ;. (Use the following as necessary: kj, k1, k2, k3, and t.) k1 + k, + k = ki 3 k1 + k2 + k3 Recalling the relationship between the overall rate constant, k, and the mean lifetime, T, give the quantum yield D; in terms of T and Tj. (Use the following as necessary: T and T;) i Step 5 of 6 (c) If T1 = 1×10-7 s, T2 = 4x10-8 s, and T3 = 1x10-8 s, calculate the lifetime of the singlet state and the quantum yield for the path that has T2. (Enter an unrounded value with at least 3 digits.) 1 using the equation given in (b). Calculate = 7.407e-9 s-1 Solve for T, the lifetime of the singlet state. T = .185175 X S Submit
- Example 6. Fossil dating Radioactive beryllium is sometimes used to date fossils found in deep-sea sediment. The amount of radioactive material x satisfies dx/dt = kx. Suppose that 10 units of beryllium are present in a living organism and that the half-life of beryllium is 4.6 million years. Find the age of a fossil if 20% of the original radioactivity is present when the fossil is discovered.A partially submerged tank is leaking 1 g/day of heptachlor into a pond (V = 30,000m3).a) Given a first order decay rate coefficient k of 0.35/day and assuming complete mixing,what would the steady-state concentration of heptachlor be in the pondThe half-life for the (first-order) radioactive decay of 14Cis 5730 a (1 a is the Sl unit 1 annum, for 1 year); the nuclideem its ~ particles, high-energy electrons, w ith an energy of0.16 MeV). An archaeological sample contained wood thathad only 69 per cent of the 14C found in living trees. What isits age?
- The decay of a radionuclide with a half-life of 4.3 x 105 years has a rate constant (in yr-1) equal to? Solve with complete solution.78 -A K Undeyants a double E-Capture decay 2 i)- write decar eruatim ? i)-For a Jheral double E-Cabtane decay oa tartina from oh expresin of Q-factor in tesms of nuckar masses, derive ex pesescon of a in texms of atomic masses? 78, LL)- Find 0-factor of "Ky deaeIn an alpha particle (42He) scattering experiment, using a thin gold (19779Au) foil, the initial kinetic energy of the alpha particle is 2.0MeV.Calculate the distance of closest approach. Compare this distance with the radius of the gold nucleus.