A chemical engineer must calculate the maximum safe operating temperature of a high-pressure gas reaction vessel. Thevessel is a stainless-steel cylinder that measures 41.0 cm wide and 49.2 cm high. The maximum safe pressure inside thevessel has been measured to be 8.10 MPa.For a certain reaction the vessel may contain up to 3.54 kg of dinitrogen monoxide gas. Calculate the maximum safeoperating temperature the engineer should recommend for this reaction. Write your answer in degrees Celsius. Round youranswer to 3 significant digits.temperature: °Cx10

Maximum safe pressure is defined as the maximum allowable pressure for the vessel or the reactor where the reaction takes place. Similarly the safe temperature is defined as the maximum allowable temperature for the vessel during the reaction. In the given problem, Diameter of the cylindrical vessel=41 cm=0.41 m So, radius, r =0.412=0.205 m Height of the cylindrical vessel=49.2 cm=0.492 m Maximum safe pressure inside the vessel (P) = 8.10 MPa=8.10×103 kPa=8100 kPa Volume of the cylindrical vessel =π r2 h, Where, r= radius, h=height, π=3.14So, after replacing the valuesVolume of the vessel, V=3.14×0.2052×0.492=0.065 m3 Mass of dinitrogen monoxide gas is 3.54 kg. Molecular weight of dinitrogen monoxide gas is 44 kg/kmol (from literature) Therefore number of moles (n) present in 3.54 kg of dinitrogen monoxide gas is 3.5444=0.08 kmol Now the maximum safe temperature inside the vessel is calculated as Assuming the gas is ideal, therefore the relation between pressure, volume and temperature can be written as PV=nRT.......(1)where, P=pressure, V=volume, T=temperature, n=number of molesR=gas constant=8.314 kJ/kmol. K Therefore, replacing the values of different parameters in equation (1), we get 8100×0.065=0.08×8.314×Tor, T=8100×0.0650.08×8.314=791.586 Kor, T=(791.586-273.15)=518.436 °C (Since 0°C=273.15 K from literature) Answer: The maximum safe temperature recommended for the reaction is 518.436°C

Answered: A chemical engineer must calculate the…

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

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A chemical engineer must calculate the maximum safe operating temperature of a high-pressure gas reaction vessel. The
vessel is a stainless-steel cylinder that measures 41.0 cm wide and 49.2 cm high. The maximum safe pressure inside the
vessel has been measured to be 8.10 MPa.
For a certain reaction the vessel may contain up to 3.54 kg of dinitrogen monoxide gas. Calculate the maximum safe
operating temperature the engineer should recommend for this reaction. Write your answer in degrees Celsius. Round your
answer to 3 significant digits.
temperature: °C
x10

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