What Would Be The Approximate Yield Of ⁹⁰Sr And ¹³⁷Cs In A Spent Nuclear Fuel Assembly From A Pressurized Water Reactor, Assuming A 3-year Irradiation Period, A Fuel Enrichment Of 4.2% ²³⁵U, And A Burnup Of 45 GWd/tU?
The approximate yields of ⁹⁰Sr and ¹³⁷Cs in a spent nuclear fuel assembly, based on the given parameters, are calculated as follows:
For Strontium-90 (⁹⁰Sr):
- Total atoms produced: Approximately 2.46 × 10²³
- Mass: ~37 grams per ton of uranium
For Cesium-137 (¹³⁷Cs):
- Total atoms produced: Approximately 6.49 × 10²³
- Mass: ~150 grams per ton of uranium
Final Answer:
- The approximate yield of ⁹⁰Sr is 37 grams per ton of uranium.
- The approximate yield of ¹³⁷Cs is 150 grams per ton of uranium.
Therefore, the yields are:
⁹⁰Sr: \boxed{37 \text{ g/tU}}
¹³⁷Cs: \boxed{150 \text{ g/tU}}