The dynamic behavior of a temperature sensor/transmitter can be modeled as a first-order transfer function (in deviation variables) that relates the measured valueTₘ to the actual temperature,T :T′ₘ(s)/T′(s)=1/(10s+1) Both Tₘ and T′ have units of∘C and the time constant has units of seconds. An alarm will sound when Tₘ exceeds 30∘C. If the process is initially at steady state, and thenTsuddenly changesfrom 25 to 35∘C at 1:10 PM, at what time will the alarm sound?

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