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A 1 st order sensor is to be installed into a reactor vessel to monitor temperature. If a sudden rise in temperature greater than 100C

A 1 st order sensor is to be installed into a reactor vessel to monitor temperature. If a sudden rise in temperature greater than 100°C should occur, shut down of the reactor will need to begin within 5 second after reaching 100°C. Determine the maximum allowable time constant for the sensor?

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