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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.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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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.
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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