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33. The core of a thermal reactor consists of a sphere, 50cm in radius, that contains a homogeneous mixture of 25°U and ordinary H2O. This core is surrounded by infinite thick H2O reflector. (a) What is the reflector savings ? (b) What is the critical mass? (c) If the maximum thermal flux is 1 x 105 neutrons/cm2-sec, at what power is the reactor operating? [ Hint: compute the M² for core assuming the reactor is bare and of radius 50 cm. Use this value of M to estimate & and then compute new M² assuming reactor is bare and of radius 50 + 8. Interate until convergence is obtained.]

33. The core of a thermal reactor consists of a sphere, 50cm in radius, that contains a homogeneous mixture of 25°U and ordinary H2O. This core is surrounded by infinite thick H2O reflector. (a) What is the reflector savings ? (b) What is the critical mass? (c) If the maximum thermal flux is 1 x 105 neutrons/cm2-sec, at what power is the reactor operating? [ Hint: compute the M² for core assuming the reactor is bare and of radius 50 cm. Use this value of M to estimate & and then compute new M² assuming reactor is bare and of radius 50 + 8. Interate until convergence is obtained.]

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33. The core of a thermal reactor consists of a sphere, 50cm in radius, that contains a homogeneous mixture of 25°U and ordinary H,O. This core is surrounded by infinite thick H2O reflector. (a) What is the reflector savings ? (b) What is the critical mass? (c) If the maximum thermal flux is 1 x 1013 neutrons/cm2-sec, at what power is the reactor operating? [ Hint: compute the M2 for core assuming the reactor is bare and of radius 50 cm. Use this value of M to estimate & and then compute new M assuming reactor is bare and of radius 50 + 6. Interate until convergence is obtained.]
Transcribed Image Text:33. The core of a thermal reactor consists of a sphere, 50cm in radius, that contains a homogeneous mixture of 25°U and ordinary H,O. This core is surrounded by infinite thick H2O reflector. (a) What is the reflector savings ? (b) What is the critical mass? (c) If the maximum thermal flux is 1 x 1013 neutrons/cm2-sec, at what power is the reactor operating? [ Hint: compute the M2 for core assuming the reactor is bare and of radius 50 cm. Use this value of M to estimate & and then compute new M assuming reactor is bare and of radius 50 + 6. Interate until convergence is obtained.]
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