The C-20 alkane, viz. n-eicosane (C20H42) is a rare chemical species that infrequently found in common...

 

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The C-20 alkane, viz. n-eicosane (C20H42) is a rare chemical species that infrequently found in common laboratory. As a research assistant working in ProScience Sdn. Bhd., you are given a task to determine the PvT properties of n-eicosane. Based on available database of National Institute of Standards and Technology (NIST) center, it is revealed that the critical temperature and pressure of this compound are 494.5°C and 10.70 bar, respectively. Given that the acentric factor and molecular weight of n-eicosane is 0.912 and 282.533 g/mol. [Hint: R₂ = 83.14 cm³ bar/(mol - K)] Ru M (a) Given that the vapor pressure of n-cicosane at 354°C is 1.2507 bar. Calculate the numerical value of all required parameters (a (T,; w), σ, ε, N. , B, q) in the Redlich- Kwong and Peng-Robinson equations of state. respectively. (10 Marks) (b) Apply the Redlich-Kwong equation of state to compute the molar volume of saturated vapor of n-cicosane at 354°C and 1.2507 bar. Solve the equation by using the numerical method (simple fixed-point method) until the answer converges. TI N S √x $ 521 ||| (10 Marks) B I (10 Marks) (c) Apply the Peng-Robinson equation of state to compute the molar volume of saturated liquid of n-eicosane at 354°C and 1.2507 bar. Solve the equation by using the numerical method (simple fixed-point method) until the answer converges. (10 Marks) (d) Determine the change of molar volume of n-eicosane during its vaporization at 354°C and 1.2507 bar. (simple fixed-point method) until the answer converges. (3 Marks) (e) A rigid tank is required to store the 20 mol of saturated liquid-vapor mixture of n- cicosane (30 mol.% liquid and 70 mol.% vapor) at the specified condition of 354°C and 1.2507 bar. Calculate the volume of the rigid tank. (3 Marks) (1) Calculate the mole quality (y, in terms of molar ratio) if the molar volume of saturated U X2 x² S = $ M✓ E S (3 Marks) (e) A rigid tank is required to store the 20 mol of saturated liquid-vapor mixture of n- cicosane (30 mol.% liquid and 70 mol.% vapor) at the specified condition of 354°C and 1.2507 bar. Calculate the volume of the rigid tank. mes (3 Marks) (1) Calculate the mole quality (y, in terms of molar ratio) if the molar volume of saturated liquid-vapor mixture of n-eicosane is 31720 cm³/mol. (4 Marks) (g) For a mole quality (y) of 0.316, find the mass of n-eicosane at the same specified conditions (354°C and 1.2507 bar) if the volume of the rigid tank is 29800 cm³. (5 Marks) SI U X₂ 84 √x $ E✓ - T- The C-20 alkane, viz. n-eicosane (C20H42) is a rare chemical species that infrequently found in common laboratory. As a research assistant working in ProScience Sdn. Bhd., you are given a task to determine the PvT properties of n-eicosane. Based on available database of National Institute of Standards and Technology (NIST) center, it is revealed that the critical temperature and pressure of this compound are 494.5°C and 10.70 bar, respectively. Given that the acentric factor and molecular weight of n-eicosane is 0.912 and 282.533 g/mol. [Hint: R₂ = 83.14 cm³ bar/(mol - K)] Ru M (a) Given that the vapor pressure of n-cicosane at 354°C is 1.2507 bar. Calculate the numerical value of all required parameters (a (T,; w), σ, ε, N. , B, q) in the Redlich- Kwong and Peng-Robinson equations of state. respectively. (10 Marks) (b) Apply the Redlich-Kwong equation of state to compute the molar volume of saturated vapor of n-cicosane at 354°C and 1.2507 bar. Solve the equation by using the numerical method (simple fixed-point method) until the answer converges. TI N S √x $ 521 ||| (10 Marks) B I (10 Marks) (c) Apply the Peng-Robinson equation of state to compute the molar volume of saturated liquid of n-eicosane at 354°C and 1.2507 bar. Solve the equation by using the numerical method (simple fixed-point method) until the answer converges. (10 Marks) (d) Determine the change of molar volume of n-eicosane during its vaporization at 354°C and 1.2507 bar. (simple fixed-point method) until the answer converges. (3 Marks) (e) A rigid tank is required to store the 20 mol of saturated liquid-vapor mixture of n- cicosane (30 mol.% liquid and 70 mol.% vapor) at the specified condition of 354°C and 1.2507 bar. Calculate the volume of the rigid tank. (3 Marks) (1) Calculate the mole quality (y, in terms of molar ratio) if the molar volume of saturated U X2 x² S = $ M✓ E S (3 Marks) (e) A rigid tank is required to store the 20 mol of saturated liquid-vapor mixture of n- cicosane (30 mol.% liquid and 70 mol.% vapor) at the specified condition of 354°C and 1.2507 bar. Calculate the volume of the rigid tank. mes (3 Marks) (1) Calculate the mole quality (y, in terms of molar ratio) if the molar volume of saturated liquid-vapor mixture of n-eicosane is 31720 cm³/mol. (4 Marks) (g) For a mole quality (y) of 0.316, find the mass of n-eicosane at the same specified conditions (354°C and 1.2507 bar) if the volume of the rigid tank is 29800 cm³. (5 Marks) SI U X₂ 84 √x $ E✓ - T-

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a Calculating the required parameters in the RedlichKwong equation of state For RedlichKwong equation of state aT w 042748 R12 Tc25 Pc 1 E 0 B 008664 ... View the full answer