Compressibility factor Definition and 12 Threads

On a different thread, we calculated ##Z## for ##\mathrm{CO_2}## for some pressure and temperature conditions. (Let's assume this is absolute pressure. Not gage pressure.) $$T=297 \ \mathrm{K}; \ P=5438467 \ \mathrm{Pa}; \ V = 0.05 \ \mathrm{m^3}$$ I did it 3 ways: "By hand" using tables from a...

A cylindrical tube (diameter = D, width = L) is completely filled with a liquid (density = ρ). A pump pressurizes the system with a pressure P. Consequently, 1) the solid tube is compressed and deformed according to Hooke's law (σ = ε.E), and 2) the liquid is compressed and deformed, following...

I was reading about thermodynamics in my textbook wheni came across the following thermodynamics constants: However, i don't understand why did we define 1/V inthe constants. What is the point in doing this?

There's a huge volume of data on NIST database: https://webbook.nist.gov/cgi/fluid.cgi?T=293.15&PLow=10&PHigh=1000&PInc=10&Applet=on&Digits=5&ID=C7727379&Action=Load&Type=IsoTherm&TUnit=K&PUnit=bar&DUnit=mol%2Fl&HUnit=kJ%2Fmol&WUnit=m%2Fs&VisUnit=uPa*s&STUnit=N%2Fm&RefState=DEF I'm interested...

Homework Statement Please consider ethylene at 152oF and 126 atm. Please determine the molar volume (ft3/lbmole) if Z is determined by Corresponding States Theory. Homework Equations Z=PVm/RmT Vm= Molar volume R=Rm/M M= molecular weight Rm=1545(ft*lbf)/(lbmol*oR) Zc=(Pcvc)/(R*Tc) Tc=283 K...

Homework Statement Why is it that when considering the compressibility factor of a gas Z we see the value decrease at first and increase as value for Pr increases for an isotherm Tr=1? Homework Equations z=1+(Pb/RT)-(a/VRT) The Attempt at a Solution It is my understanding that as Pr is low...

The pressure exerted on the walls of the container by a real gas is less compared to an ideal gas. This is due to the attractive forces of the gas pulling the molecules back towards the rest of the gas molecules. However, there is also a relationship whereby at lower temperatures, the z is even...

At low temperatures, z falls below 1 and the reason for that is because the intermolecular interactions cause the pressure exerted to be lesser than expected. PVm/RT=z and since P is less than expected z drops below 1. However, as the pressure increases z increases to be above 1 because as P...

What is the correct type of pressure (static or total) used in the compressibility factor, KP, when calculating fan power? Howden's Fan Engineering book seems to indicate total pressures should be used, but I also have a PDF from Howden that indicates static pressures should be used. Online...

Homework Statement Find the volume of 2 kg of ethylene at 270 K, 2500 kPa using Z Homework Equations Method to Solve for Z, Using Tr and Pr PV = ZnRT The Attempt at a Solution Tr = 0.9561 Pr = 0.496 Z found to be approx. 0.75 R given on a table at 0.2964 kJ/kg K From...

Homework Statement Determine the volume, in m^3, occupied by 20 kg of hydrogen (H2) at 1170 kPa, 2220°C. Homework Equations Z=pv/rt, Pr=P/Pc, Tr=T/Tc, and for hydrogen M = 2.016 (kg/kmol) Tc = 33.2 (K) Pc = 13.0 bar Zc=pc*vc/(RTc) The Attempt at a Solution I know if I find Z then...

Homework Statement derivation of compressibility factor vs. reduced pressure I am supposed to derive the graph by solving equations Homework Equations Van der Waals equation of state compressibility factor, Z = (Pv)/(RT) reduced pressure = P/critical pressure Z = f(Tr, Pr) The...