(a) Calculate in MeV the energy released in the fission reaction 235 U + In 140Xe + ⁹4Sr + 2n The atomic masses are 235.04392 u, 139.92144 u and 93.91523 u, respectively. Take the mass of a neutron as 1.00866 u. (b) Using energy considerations, the power P required to propel a submerged submarine may be estimated from its diameter D and speed V according to (i) (ii) 1 AD² ==p² (iii) Show by dimensional analysis that the right-hand side of the equation has the dimensions of power. Estimate the power in MW required to propel a 10 m diameter submarine at 30 km/h. The density of water is approximately 1000 kg/m³. Using your result from (a), estimate how many U-235 fissions per second are required to achieve such a power. (Avogadro's constant is 6.022 ×1023 mol-¹.)

(a) Calculate in MeV the energy released in the fission reaction 235 U + In 140Xe + ⁹4Sr + 2n The atomic masses are 235.04392 u, 139.92144 u and 93.91523 u, respectively. Take the mass of a neutron as 1.00866 u. (b) Using energy considerations, the power P required to propel a submerged submarine may be estimated from its diameter D and speed V according to (i) (ii) 1 AD² ==p² (iii) Show by dimensional analysis that the right-hand side of the equation has the dimensions of power. Estimate the power in MW required to propel a 10 m diameter submarine at 30 km/h. The density of water is approximately 1000 kg/m³. Using your result from (a), estimate how many U-235 fissions per second are required to achieve such a power. (Avogadro's constant is 6.022 ×1023 mol-¹.)

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter32: Medical Applications Of Nuclear Physics

Section: Chapter Questions

Problem 23PE: (a) Background radiation due to 226Ra averages only 0.01 mSv/y, but it can range upward depending on...

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