A. Assume propane at this state can be described by ideal gas, and determine the density...

 

Transcribed Image Text:

A. Assume propane at this state can be described by ideal gas, and determine the density of propane at 300 K and 800 kPa. B. Use the van der Waals equation of state to determine the density of propane (C3H8) at 300 K and 800 kPa. C. Compare the two results obtained above with the real density of propane (C3H₂) at 300 K and 800 kPa, which is 16.465 kg/m³ (this can be found using NIST chemistry webbook). Comment on which equation of state gives more accurate result. D. For van der Waals equation of state (P + ª)(v — b) = R₁T, by letting d = 0 and dP dv 0 for fixed T, critical pressure and critical temperature can be obtained as P a = 8a 27b² Tc i. d²p dv² -. Define reduced pressure PR = P/Pc, reduced temperature TR = T/Tc, and 27bRu рс pseudo-reduced specific volume VR = v. TcRu ii. = = and Re-write van der Waals equation of state in terms of PR, TR, and VR, rather than P, v, and Ru Re-write compressibility factor in terms of PR, TR, and VR. Qualitatively comment, when the compressibility is expressed as a function of PR and TR, whether the compressbility depends a and b. (This exercise illustrates why the relation between compressibility factor on reduced pressure and reduced temperature is general). A. Assume propane at this state can be described by ideal gas, and determine the density of propane at 300 K and 800 kPa. B. Use the van der Waals equation of state to determine the density of propane (C3H8) at 300 K and 800 kPa. C. Compare the two results obtained above with the real density of propane (C3H₂) at 300 K and 800 kPa, which is 16.465 kg/m³ (this can be found using NIST chemistry webbook). Comment on which equation of state gives more accurate result. D. For van der Waals equation of state (P + ª)(v — b) = R₁T, by letting d = 0 and dP dv 0 for fixed T, critical pressure and critical temperature can be obtained as P a = 8a 27b² Tc i. d²p dv² -. Define reduced pressure PR = P/Pc, reduced temperature TR = T/Tc, and 27bRu рс pseudo-reduced specific volume VR = v. TcRu ii. = = and Re-write van der Waals equation of state in terms of PR, TR, and VR, rather than P, v, and Ru Re-write compressibility factor in terms of PR, TR, and VR. Qualitatively comment, when the compressibility is expressed as a function of PR and TR, whether the compressbility depends a and b. (This exercise illustrates why the relation between compressibility factor on reduced pressure and reduced temperature is general).