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An unknown volume of a closed piping system in an industrial factory was spiked with 3 mL of solution with 5 MBq/mL of P-32

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An unknown volume of a closed piping system in an industrial factory was spiked with 3 mL of solution with 5 MBq/mL of P-32 (half-life of 14.3d). After 2 hrs of circulation, three samples from pipes counted an average net count rate of 540 cpm/mL with 90% detection efficiency (LSC counter). Neglecting the decay of P-32, calculate the volume of the piping system [in L].

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