Figure 1 1/M Plot vs. Rod Withdrawal

Subcritical Multiplication Summary - h1019v2_101

Nuclear Physics and Reactor Theory Volume 2 of 2
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SUBCRITICAL MULTIPLICATION DOE-HDBK-1019/2-93 Reactor Theory (Reactor Operations) Solution: Step 1: Calculate 1/M for each of the rod positions using equation (4-5). The reference count rate is 50 cps at a rod position of zero. Rod Withdrawal (inches) Count Rate (cps) CR_o/CR 0 50 1 2 55 0.909 4 67 0.746 6 86 0.581 8 120 0.417 10 192 0.260 12 500 0.100 Step 2: Plotting these values, as shown in Figure 1, and extrapolating to a 1/M value of 0 reveals that the reactor will go critical at approximately 13 inches of rod withdrawal. Figure 1 1/M Plot vs. Rod Withdrawal NP-04 Rev. 0 Page 8

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