The Redlich-Kwong equation of state is given byp =RTv − b−av(v + b)√Twhere R = the gas constant [= 0.518 kJ/(kg K)], T = absolute temperature (K), p = absolutepressure (kPa), and v = the specific volume of a kg of gas (m3/kg). The parameters a and bare calculated bya =0.427R2Tc2.5pcb = 0.0866RTcpcwhere pc = critical pressure (kPa) and Tc = critical temperature (K). As a chemical engineer,you are asked to determine the amount of methane fuel (pc = 4580 kPa and Tc = 191 K) thatcan be held in a 3-m3tank at a temperature of -50°C with a pressure of 65,000 kPa. Use thebisection method of your choice to calculate v and then determine the mass of methanecontained in the tank. The Redlich-Kwong equation of state is given byRTp =v – b v(v+ b)vTаwhere R = the gas constant [= 0.518 kJ/(kg K)], T = absolute temperature (K), p = absolutepressure (kPa), and v = the specific volume of a kg of gas (m/kg). The parameters a and bare calculated by0.427R2T25aTeb = 0.0866R -PcPcwhere p. critical pressure (kPa) and T. critical temperature (K). As a chemical engineer,you are asked to determine the amount of methane fuel (pc = 4580 kPa and T = 191 K) thatcan be held in a 3-m' tank at a temperature of -50°C with a pressure of 65,000 kPa. Use thebisection method of your choice to calculate v and then determine the mass of methanecontained in the tank.

In thermodynamics, the Redlich–Kwong equation of state is an empirical, algebraic equation that…

Answered: The Redlich-Kwong equation of state is…

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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The Redlich-Kwong equation of state is given by

p =
RT
v − b
−
a
v(v + b)√T

where R = the gas constant [= 0.518 kJ/(kg K)], T = absolute temperature (K), p = absolute
pressure (kPa), and v = the specific volume of a kg of gas (m3

/kg). The parameters a and b

are calculated by

a =
0.427R
2Tc
2.5
pc

b = 0.0866R
Tc
pc

where pc = critical pressure (kPa) and Tc = critical temperature (K). As a chemical engineer,
you are asked to determine the amount of methane fuel (pc = 4580 kPa and Tc = 191 K) that
can be held in a 3-m
3
tank at a temperature of -50°C with a pressure of 65,000 kPa. Use the
bisection method of your choice to calculate v and then determine the mass of methane
contained in the tank.

The Redlich-Kwong equation of state is given by
RT
p =
v – b v(v+ b)vT
а
where R = the gas constant [= 0.518 kJ/(kg K)], T = absolute temperature (K), p = absolute
pressure (kPa), and v = the specific volume of a kg of gas (m/kg). The parameters a and b
are calculated by
0.427R2T25
a
Te
b = 0.0866R -
Pc
Pc
where p. critical pressure (kPa) and T. critical temperature (K). As a chemical engineer,
you are asked to determine the amount of methane fuel (pc = 4580 kPa and T = 191 K) that
can be held in a 3-m' tank at a temperature of -50°C with a pressure of 65,000 kPa. Use the
bisection method of your choice to calculate v and then determine the mass of methane
contained in the tank.

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