Q5) A continuous stirred tank heater has holdup capacity of 60 kg and receives two feed streams of water (Cp=4.2 kJ/kg K). Mass flow rate of first stream is 280 kg/min while the other is 200 kg/min. The temperature of the two feed streams is 40°C. An electrical heater provides a constant heat input of (Q=100 kW). If the temperature of the first inlet stream is suddenly increase by 50% while the second remain constant, Find (a) Steady-state outlet temperature (b) Process overall transfer function. (c) Process outlet temperature response and sketch it

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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Q5) A continuous stirred tank heater has holdup capacity of 60 kg and receives two feed streams
of water (Cp=4.2 kJ/kg K). Mass flow rate of first stream is 280 kg/min while the other is 200
kg/min. The temperature of the two feed streams is 40°C. An electrical heater provides a constant
heat input of (Q=100 kW). If the temperature of the first inlet stream is suddenly increase by 50%
while the second remain constant, Find
(a) Steady-state outlet temperature
(b) Process overall transfer function.
(c) Process outlet temperature response and sketch it
Q6) Raoult's law gives the vapor mole fraction y(t) at equilibrium as a function of temperature
and liquid mole fraction, x(t) as follows:
y(t) = P° (t)x(t)
where p°(t) is the vapor pressure given by Antoine's equation as:
p°(t) = e4-B/[T(t)+c]
Find the linear model for the vapor mole fraction y(t) in terms of x(t) and T(t). Evaluate the model
for benzene at pressure = 1 atm, temperature= 95°C and a liquid mole fraction x= 50%. The
Antoine constants for Benzene are: A=15.9008, B=2788.51°C, and C = 220.80°C.
Transcribed Image Text:Q5) A continuous stirred tank heater has holdup capacity of 60 kg and receives two feed streams of water (Cp=4.2 kJ/kg K). Mass flow rate of first stream is 280 kg/min while the other is 200 kg/min. The temperature of the two feed streams is 40°C. An electrical heater provides a constant heat input of (Q=100 kW). If the temperature of the first inlet stream is suddenly increase by 50% while the second remain constant, Find (a) Steady-state outlet temperature (b) Process overall transfer function. (c) Process outlet temperature response and sketch it Q6) Raoult's law gives the vapor mole fraction y(t) at equilibrium as a function of temperature and liquid mole fraction, x(t) as follows: y(t) = P° (t)x(t) where p°(t) is the vapor pressure given by Antoine's equation as: p°(t) = e4-B/[T(t)+c] Find the linear model for the vapor mole fraction y(t) in terms of x(t) and T(t). Evaluate the model for benzene at pressure = 1 atm, temperature= 95°C and a liquid mole fraction x= 50%. The Antoine constants for Benzene are: A=15.9008, B=2788.51°C, and C = 220.80°C.
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