The Redlich-Kwong equation of state is given by a P = RT v-b v(v + b)√T where R = the universal gas constant [= 0.518 kJ/(kg K)], T = absolute temperature (K), p = absolute pressure (kPa), and v = the volume of a kg of gas (m³/kg). The parameters a and b are calculated by Te R²T2.5 a = 0.427. Pc b=0.0866R- Pc where pe = critical pressure (kPa) and Te = critical temperature (K). As a chemical engineer, you are asked to determine the amount of methane fuel (pc = 4600 kPa and Te = 191 K) that can be held in a 3-m³ tank at a temperature of -40°C with a pressure of 65,000 kPa. Use a root-locating 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 a P = RT v-b v(v + b)√T where R = the universal gas constant [= 0.518 kJ/(kg K)], T = absolute temperature (K), p = absolute pressure (kPa), and v = the volume of a kg of gas (m³/kg). The parameters a and b are calculated by Te R²T2.5 a = 0.427. Pc b=0.0866R- Pc where pe = critical pressure (kPa) and Te = critical temperature (K). As a chemical engineer, you are asked to determine the amount of methane fuel (pc = 4600 kPa and Te = 191 K) that can be held in a 3-m³ tank at a temperature of -40°C with a pressure of 65,000 kPa. Use a root-locating method of your choice to calculate v and then determine the mass of methane contained in the tank.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Q3:
The Redlich-Kwong equation of state is given by
RT
a
P =
Р
v-b
v(v + b)√T
=
where R the universal gas constant [= 0.518 kJ/(kg K)], T =
absolute temperature (K), p = absolute pressure (kPa), and v = the
volume of a kg of gas (m³/kg). The parameters a and b are
calculated by
Tc
R²T2.5
a = 0.427.
Pc
b=0.0866R
Pc
where pe=
= critical pressure (kPa) and Te = critical temperature
(K). As a chemical engineer, you are asked to determine the amount
of methane fuel (pc = 4600 kPa and Te = 191 K) that can be held in
a 3-m³ tank at a temperature of -40°C with a pressure of 65,000 kPa.
Use a root-locating method of your choice to calculate v and then
determine the mass of methane contained in the tank.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdf370ecd-d3ae-463d-b311-dcf745985ee3%2F772e3b86-208b-40da-ac76-fee82eade2e9%2Fmef1m3_processed.png&w=3840&q=75)
Transcribed Image Text:Q3:
The Redlich-Kwong equation of state is given by
RT
a
P =
Р
v-b
v(v + b)√T
=
where R the universal gas constant [= 0.518 kJ/(kg K)], T =
absolute temperature (K), p = absolute pressure (kPa), and v = the
volume of a kg of gas (m³/kg). The parameters a and b are
calculated by
Tc
R²T2.5
a = 0.427.
Pc
b=0.0866R
Pc
where pe=
= critical pressure (kPa) and Te = critical temperature
(K). As a chemical engineer, you are asked to determine the amount
of methane fuel (pc = 4600 kPa and Te = 191 K) that can be held in
a 3-m³ tank at a temperature of -40°C with a pressure of 65,000 kPa.
Use a root-locating method of your choice to calculate v and then
determine the mass of methane contained in the tank.
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