# Question: for a stirred tank heater the transfer function between the...

###### Question details

For a stirred tank heater the transfer function between the input change u(t) (cal/sec) and the tank temperature change y(t) (Celsius) can be modeled as: 𝐺(𝑠) = 𝐾/( 𝜏𝑠 + 1 )

(a) Using the Final value theorem, find the steady state response for a unit rectangular pulse change in the heating rate (𝑈(𝑠) = (1−𝑒 ^−𝑠 )/𝑠 )

(b) Repeat the calculation in (a) for a step change (𝑈(𝑠) = 1/𝑠)