A perfectly stirred tank is initially filled with 900 kg solution [T(0)= 50 oC]. Three streams enters this tank: Stream-1(m1=2 kg/min, T1=25 oC, CP1=2.5 kj/kg.oC). Stream-2 (m2=3 kg/min, T2=65 oC, CP2=3.5 kj/kg.oC). Stream-3 (m3=4 kg/min, T3=75-65exp(-0.04t), T3 in oC, t in minutes, CP3=2 kj/kg.oC). A single stream (m4=9 kg/min, CP4=2.8 kj/kg.oC ) leaves the tank. CP of the solution in the tank at any instant of time is assumed to be also CP=2.8 kj/kg.oC. Which of the following diff. equations describes the variation in the temperature, T (oC) of the solution in the tank with time t (minutes). Lütfen birini seçin: a. dT/dt+0.010T=0.558 + 0.306exp(-0.04t) b. dT/dt+0.015T=0.458 - 0.206exp(-0.04t) c. dT/dt+0.010T=0.558 - 0.206exp(-0.04t) d. dT/dt+0.025T=0.458 - 0.206exp(-0.04t) e. dT/dt+0.020T=0.458 - 0.206exp(-0.04t)

Introduction to Chemical Engineering Thermodynamics
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Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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Chapter1: Introduction
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A perfectly stirred tank is initially filled with 900 kg solution [T(0)= 50 oC]. Three streams enters this tank: Stream-1(m1=2 kg/min, T1=25 oC, CP1=2.5 kj/kg.oC). Stream-2 (m2=3 kg/min, T2=65 oC, CP2=3.5 kj/kg.oC). Stream-3 (m3=4 kg/min, T3=75-65exp(-0.04t), T3 in oC, t in minutes, CP3=2 kj/kg.oC). A single stream (m4=9 kg/min, CP4=2.8 kj/kg.oC ) leaves the tank. CP of the solution in the tank at any instant of time is assumed to be also CP=2.8 kj/kg.oC. Which of the following diff. equations describes the variation in the temperature, T (oC) of the solution in the tank with time t (minutes).
Lütfen birini seçin:

a.
dT/dt+0.010T=0.558 + 0.306exp(-0.04t)

b.
dT/dt+0.015T=0.458 - 0.206exp(-0.04t)

c.
dT/dt+0.010T=0.558 - 0.206exp(-0.04t)

d.
dT/dt+0.025T=0.458 - 0.206exp(-0.04t)

e.
dT/dt+0.020T=0.458 - 0.206exp(-0.04t)

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