A stream of methane (CH4, ??=4?)(CH4, Cp=4R) flowing at 3.0 kmol/min3.0 kmol/min is isobarically heated in a well‑insulated heat exchanger from 20.00 ∘C20.00 ∘C to 1.60×102 ∘C.1.60×102 ∘C. The second side of the exchanger is fed with saturated water vapor, which is isobarically cooled to a saturated liquid when it leaves. As unit operator, you have the choice of feeding high‑pressure steam (HPS) at 4.00 MPa4.00 MPa or medium pressure steam (MPS) at 1.00 MPa.1.00 MPa. Assume ?surr=27 ∘C.Tsurr=27 ∘C.Find the mass flow rate of water and lost work if high pressure steam (HPS) is used.Find the mass flow rate of water and lost work if medium pressure steam (MPS) is used. Macmillan LearningA stream of methane (CH4, Cp = 4R) flowing at 3.0 kmol/min is isobarically heated in a well-insulated heat exchanger from20.00 °C to 1.60 × 10² °C. The second side of the exchanger is fed with saturated water vapor, which is isobarically cooled to asaturated liquid when it leaves. As unit operator, you have the choice of feeding high-pressure steam (HPS) at 4.00 MPa ormedium pressure steam (MPS) at 1.00 MPa. Assume Tsurr = 27 °C.Find the mass flow rate of water and lost work if high pressure steam (HPS) is used.mass flow rate:mass flow rate:Find the mass flow rate of water and lost work if medium pressure steam (MPS) is used.Which is the better choice of steam to use?kg/sHPSMPSlost work:kg/slost work:kWkW

gIVEN THAT For methane Cp of methane =4Rm1=3 kmolminT1 =20 CT2=1.60 x 102 CTsurr =27 CFor HPSP=4 MPABy using steam table Latent Heat of Steam=1713.47 KJKgBy energy balance QCH4 =Qwater(mCp△T)CH4 =(mλ)water 360x 4 x 8.314 x (160-20) =mwater x 1713.47mwater=0.13586 kgsBy using steam tableSpecific Entropy=2796.89Jkg KAs we know that Lost work =Ts△Suniv =300.15 x360x 4 x 8.314 ln 433.15293.15-0.13586 x 2796.89 x10-3 =80.7917019 KWFor MPSP=1 MPABy using steam table Latent Heat of Steam=2014.44 KJKgBy energy balance QCH4 =Qwater(mCp△T)CH4 =(mλ)water 360x 4 x 8.314 x (160-20) =mwater x 2014.44mwater=0.115562 kgsBy using steam tableSpecific Entropy=2138.19Jkg KAs we know that Lost work =Ts△Suniv =300.15 x360x 4 x 8.314 ln 433.15293.15-0.115562 x 2138.19 x10-3 =120.67922 KWFrom above result Hps is less los work as compare to MPSHence HPS is the better choice of steam to use

Answered: A stream of methane (CH4, Cp = 4R)…

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 stream of methane (CH4, ??=4?)(CH4, Cp=4R) flowing at 3.0 kmol/min3.0 kmol/min is isobarically heated in a well‑insulated heat exchanger from 20.00 ∘C20.00 ∘C to 1.60×102 ∘C.1.60×102 ∘C. The second side of the exchanger is fed with saturated water vapor, which is isobarically cooled to a saturated liquid when it leaves. As unit operator, you have the choice of feeding high‑pressure steam (HPS) at 4.00 MPa4.00 MPa or medium pressure steam (MPS) at 1.00 MPa.1.00 MPa. Assume ?surr=27 ∘C.Tsurr=27 ∘C.

Find the mass flow rate of water and lost work if high pressure steam (HPS) is used.

Find the mass flow rate of water and lost work if medium pressure steam (MPS) is used.