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A tank is initially filled with 500 kg of fluid at 15 °C. A tank heated by jacket using saturated steam at 3 bar condenses, and the condensate leaved at its saturation temperature. A heat transfer coefficient between jacket and tank equals 6 kJ/(m² min °C) through 2 m2 surface area. A heat capacity of fed to the tank is 3 kJ/(kg °C) with flow rate of 13 kg/min at 24 °C. The heated fluid is discharged at the same flow rate. The tank is well stirred, so that the temperature of the contents is spatially uniform and equals the outlet temperature. a) Find a differential equation of energy balance under unsteady state. b) Plot an expression for T(t) and calculate the fluid temperature after 33 min graphically.

A tank is initially filled with 500 kg of fluid at 15 °C. A tank heated by jacket using saturated steam at 3 bar condenses, and the condensate leaved at its saturation temperature. A heat transfer coefficient between jacket and tank equals 6 kJ/(m² min °C) through 2 m2 surface area. A heat capacity of fed to the tank is 3 kJ/(kg °C) with flow rate of 13 kg/min at 24 °C. The heated fluid is discharged at the same flow rate. The tank is well stirred, so that the temperature of the contents is spatially uniform and equals the outlet temperature. a) Find a differential equation of energy balance under unsteady state. b) Plot an expression for T(t) and calculate the fluid temperature after 33 min graphically.

Introduction to Chemical Engineering Thermodynamics
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
Section: Chapter Questions
Problem 1.1P
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A tank is initially filled with 500 kg of fluid at 15 °C. A tank heated by jacket using saturated steam at 3 bar condenses, and the condensate leaved at its saturation temperature. A heat transfer coefficient between jacket and tank equals 6 kJ/(m² min °C) through 2 m surface area. A heat capacity of fed to the tank is 3 kJ/(kg °C) with flow rate of 13 kg/min at 24 °C. The heated fluid is discharged at the same flow rate. The tank is well stirred, so that the temperature of the contents is spatially uniform and equals the outlet temperature. a) Find a differential equation of energy balance under unsteady state. b) Plot an expression for T(t) and calculate the fluid temperature after 33 min graphically.
Transcribed Image Text:A tank is initially filled with 500 kg of fluid at 15 °C. A tank heated by jacket using saturated steam at 3 bar condenses, and the condensate leaved at its saturation temperature. A heat transfer coefficient between jacket and tank equals 6 kJ/(m² min °C) through 2 m surface area. A heat capacity of fed to the tank is 3 kJ/(kg °C) with flow rate of 13 kg/min at 24 °C. The heated fluid is discharged at the same flow rate. The tank is well stirred, so that the temperature of the contents is spatially uniform and equals the outlet temperature. a) Find a differential equation of energy balance under unsteady state. b) Plot an expression for T(t) and calculate the fluid temperature after 33 min graphically.
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