A Uranium-235 atom undergoes fission in the following net reaction (induced fission involves an intermediate step as U-236 which we will ignore):
U-235 --> X + Y + 2n
U-235 is the 'parent', X and Y are 'daughters' (= fission products), n = free neutron. 1 u = atomic mass unit = 1.66 x 10-27 kg mn = mass of a neutron = 1.008665 u mp = mass of a proton = 1.007825 u 1 eV = 1.602 x 10-19 J u = 931.494 MeV/c2
A. (3 pts) Give the values of Z, N and A for U-235.
B. (4 pts) The mass of a U-235 nucleus is 235.04394 u. What is the binding energy per nucleon in U-235? Express your answer in electron volts and in Joules (per nucleon).
C. (4 pts) Suppose X is Rb-90 and Y is Cs-143. The nuclear mass of Rb-90 is 89.9148 u and the nuclear mass of Cs-143 is 142.9273 u. What is the binding energy per nucleon in each of the two fission products?
D. (4 pts) Calculate the energy released in the fission of one U-235 nucleus (via the above reaction).
A. Z=92 , N= 92 , A =238.04 u =3.95 *10 ^-25 kg
B.binding energy per nucleon in U-235
difference in the two energies by the number of nucleons and this will give you the average binding energy per nucleon.
=(atomic mass - mass of neutron + mass of electron + mass of proton)/number of nucleons
235 nucleons, so the binding energy per nucleon is 7.59 * 10 ^6 eV/nucleon
= 12.15 * 10 ^ -13 J/nucleon
c.) difference in the two energies by the number of nucleons and this will give you the average binding energy per nucleon.
=(atomic mass - mass of neutron + mass of electron + mass of proton)/number of nucleons
Cs has 143 nucleons and Rb has 90 nucleons
Cesium is 8.2MeV and of Rubidium is 8.6MeV
d.)balance the enrgy
rest mass energy of uranium = 218.89Gev
of Cs = 127.501 Gev
Rb = 88.3859 Gev
2n = 2 * 93956 =1.87912 Gev
so released energy = 1.13078Gev =1130.78 Mev
A Uranium-235 atom undergoes fission in the following net reaction (induced fission involves an intermediate step...
The illustration shows one possible way that a nucleus of uranium-235 (235U) can undergo neutron-induced fission. (a) Rank the following objects in order of their binding energy per nucleon, from largest to smallest. If any two objects have the same binding energy per nucleon, state this. Explain how you made your ranking. (i) The uranium-235 (235U) nucleus (ii) The tellurium-134 (134Te) nucleus (iii) The zirconium-99 (99Zr) nucleus (iv) The three neutrons Activity 27-4 [continued]. (b) Using your results from part...
Consider a fission reaction where a Uranium-235 nucleus absorbs a neutron and then splits to Strontium, Xenon, and some neutrons. If the strontium nucleus has a mass number of 89 and the Xenon nucleus has a mass number of 144, how much energy is released in a single reaction? Use the attached table for the atomic masses of the nuclei. Give your answer in MeV and with 4 significant figures. (Hint: Balance the reaction first). Isotope Masses for Fission A...
Consider a fission reaction where a Uranium-235 nucleus absorbs a neutron and then splits to Strontium, Xenon, and some neutrons. If the strontium nucleus has a mass number of 93 and the Xenon nucleus has a mass number of 140, how much energy is released in a single reaction? Use the attached table for the atomic masses of the nuclei. Give your answer in MeV and with 4 significant figures. Neutron 0 1 1.008665 Uranium 92 235 235.043923 Strontium 38...
Activity 27-4. Nuclear fission (Accompanies Section 27-4] 1 A uranium nucleus (235U) absorbs a neutron. The result is a uranium nucleus (236U) in an excited state. 3 The excited uranium nucleus fissions into two smaller, more tightly bound nuclei... ...as well as a few neutrons. These can trigger the fission of other 235U nuclei. 3 neutrons Neutron + 2350 236U 134 Te 9976 Z = 0 protons Z = 92 protons N = 1 neutron N = 143 neutrons A=Z+N...
Calculate the energy released when 1.00 kg of uranium-235 undergoes the following fission process. Answer in Joules. ¹₀n + ²³⁵₉₂U → ¹³⁶₅₃I + ⁹⁶₃₉Y + 4¹₀n Iodine-136: 135.8401 amu Yttrium-96: 95.8629 amu Uranium-235: 234.9935 amu Neutron: 1.00867 amu
When a neutron collides with a uranium -235 nucleus it can induce a variety of fission reactions. one such reaction is 235/92 U + 1/0n. 140/54 Xe + 94/38 Sr + 2 1/0 n The following mass values are known 140/54 Xe: 139.921620u. 94/38 Sr : 93.915367u. 235/92U:235.043924u. 1/0n: 1.08665 u. How much energy is released in this reaction?
Question 20 5 pts A U-238 atom (uranium-238) has a nucleus with 92 protons and an atomic mass of 238.0507882 u. What is the nuclear binding energy per nucleon in this atom? O 1.93 MeV O 7.57 MeV O 12.3 MeV O 19.6 MeV 1802 MeV
Question 20 5 pts AU-238 atom (uranium-238) has a nucleus with 92 protons and an atomic mass of 238.0507882 u. What is the nuclear binding energy per nucleon in this atom? 1.93 MeV 7.57 MeV 12.3 MeV 19.6 MeV 1802 MeV
AU-238 atom undergoes alpha decay. The daughter atom then undergoes beta minus decay into a second daughter atom. What is the second daughter atom? 0 U-235 Th-238 Th-234 O Pa-234 O Rn-222 Question 20 AU-238 atom (uranium-238) has a nucleus with 92 protons and an atomic mass of 238.0507882 u. What is the nuclear binding energy per nucleon in this atom? O 1.93 MeV 0 7.57 MeV O 12.3 MeV O 19.6 MeV O 1802 MeV
A U-238 atom (uranium-238) has a nucleus with 92 protons and an atomic mass of 238.0507882 u. What is the nuclear binding energy per nucleon in this atom? a) 1.93 MeV b) 7.57 MeV c) 12.3 MeV d) 19.6 MeV e) 1802 MeV