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The Van Der Waals equation of state is an example of a non-idealgas equation and is given by: (P+(a/V^2))(V-b)=RT and the onstantsa and b are given by: a= 27/64 ((R^2*Tc^2)/Pc) and b=RTc/8Pc whereTc and Pc represent the gas critical temperature and pressure,respectively.

Ammonia at 250degreesC at 10atm has a critical temperature of134.5degreesC and a critical pressure of 111.3 atm.

Calculate the volume (L) of this ammonia gas.

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Elin Hessel
Elin HesselLv2
28 Sep 2019

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Related questions

A) What is the pressure of n-hexane at 660K according to the Van Der Waals equation, if it's molar volume is 0.39L mol-1 and Tc=507.7K and Pc=30.3 bar.

B) Calculate the compression factor at the critical point for the gas obeying the Van Der Waals law.

For any pure substance, we can construct an equation of state of the form P=P(V,T), i.e., we can consider P to be some function of two independent state variables V and T.

A) Draw a P-V plot for a van der Waals gas isotherm for some temeprature below the critical temperature Tc.

B) Draw on the same graph as accurately as you can, the isotherm for T=Tc and mark the critical point (Pc,Vc)

C) Write down two partial derivatives that are zero at the critical point(Pc,Vc,Tc)

D) Remember each isotherm on your graph is a special case of the equation of state. Write the total differential dP for the function P(T,V)

E) Now, using your expression in (d), set dP=0 and write an expression for (deltaP/deltaT)v.

F) Next simplify your expression from part (e) with commonly tabulated quantities

G) Verify your general result in (f) for the specific case of a perfect gas

A gas obeys the van der Waals equation of state. The criticalparameters for this gas are Pc=47.7 atm, Tc=151.15K, and Vc=0.0752liter mol^-1. Compute the reduced pressure of the gas at 300K and avolume of 15 liters.

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