A temperture sensing device can be modelled as a first order system with a time constant of 6 s. It is suddenly subjected to a step input of 25oC−150oC. What temperature will be indicated in 10s after the process has started?
A
1264oC
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B
1.264oC
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C
12.64oC
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D
126.4oC
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Solution
The correct option is D126.4oC It is given that ;
Final steady state temperature θ0=150oC,
Initial temperature θi=25oC,
and time constant τ=6s
Therefore, the temperature after 10 s can be calculated as,