(Neutron-induced fission of U) A thermal neutron is captured by a U nucleus leading…

PHYSICS · Multi-part · A Level · Physics · Nuclear physics · Nuclear physics

Problem

(Neutron-induced fission of 235^{235}U) A thermal neutron is captured by a 235^{235}U nucleus leading to the fission reaction 92235^{235}_{92}U + 01^{1}_{0}n → 56141^{141}_{56}Ba + 3692^{92}_{36}Kr + 3 01^{1}_{0}n The relevant atomic masses are: • 235^{235}U = 235.043929 u  • 141^{141}Ba = 140.914411 u • 92^{92}Kr = 91.926156 u  • nn = 1.008665 u Constants: 1 u = 931.5 MeV, NAN_A = 6.022 × 10²³ mol⁻¹, 1 eV = 1.60 × 10⁻¹⁹ J. Answer the following: (i) Compute the mass defect associated with one fission event in atomic mass units. (ii) Calculate the energy released per fission event in MeV. (iii) Determine the total energy, in joules, that would be released if 1.0 kg of pure 235^{235}U underwent complete fission according to the above reaction.

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