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write the steps of the differentiation of energy balance and the steps when taking the laplace transform Consider a stirred tank heater with variable hold

write the steps of the differentiation of energy balance and the steps when taking the laplace transform
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Consider a stirred tank heater with variable hold up. What is the transfer function that relates the controlled variable temperature (T) with the inlet flowrate wi, assuming that outlet flowrate w ad inlet stream temperature Ti is constant? Also find out the transfer function between the volume and the inlet flowrate

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