38
1 The Behavior of Gases and Liquids
e. The equilibrium state of a system is independent of the
history of the system.
f. The macroscopic state of a one-phase fluid system
containing one substance is specified by the value of
three state variables.
g. Two gaseous systems containing the same substance
and having the same values of T , P, and n can have
different volumes.
h. Negative pressures can occur in metastable systems.
i. Negative pressures can occur in equilibrium systems.
j. Above the critical temperature and pressure, there is no
distinction between the liquid and gaseous phases.
1.50 a. Find the expression for the isothermal compressibility
of a gas obeying the truncated pressure virial equation
of state:
PV nRT + nA 2 P
where A 2 depends on T but not on P or n.
b. Find the value of the isothermal compressibility
of carbon dioxide at a temperature of 273.15 K and
a pressure of 2.000 atm using the expression from
part a.
c. Find the value of the isothermal compressibility of
carbon dioxide at a temperature of 273.15 K and a
pressure of 2.000 atm using the ideal gas law.
References
O. Redlich and J. N. S. Kwong, Chemi. Rev., 44, 233 (1949).
G. Soave, Chem. Eng. Sci., 27, 1197 (1972).
R. M. Gibbons and A. P. Laughton, J. Chem. Soc., Faraday Trans. 2, 80, 1019 (1984).
J. O. Hirschfelder, C. F. Curtiss, and R. B. Bird, Molecular Theory of Gases and Liquids,
Wiley, New York, 1954, pp. 250ff.
1 The Behavior of Gases and Liquids
e. The equilibrium state of a system is independent of the
history of the system.
f. The macroscopic state of a one-phase fluid system
containing one substance is specified by the value of
three state variables.
g. Two gaseous systems containing the same substance
and having the same values of T , P, and n can have
different volumes.
h. Negative pressures can occur in metastable systems.
i. Negative pressures can occur in equilibrium systems.
j. Above the critical temperature and pressure, there is no
distinction between the liquid and gaseous phases.
1.50 a. Find the expression for the isothermal compressibility
of a gas obeying the truncated pressure virial equation
of state:
PV nRT + nA 2 P
where A 2 depends on T but not on P or n.
b. Find the value of the isothermal compressibility
of carbon dioxide at a temperature of 273.15 K and
a pressure of 2.000 atm using the expression from
part a.
c. Find the value of the isothermal compressibility of
carbon dioxide at a temperature of 273.15 K and a
pressure of 2.000 atm using the ideal gas law.
References
O. Redlich and J. N. S. Kwong, Chemi. Rev., 44, 233 (1949).
G. Soave, Chem. Eng. Sci., 27, 1197 (1972).
R. M. Gibbons and A. P. Laughton, J. Chem. Soc., Faraday Trans. 2, 80, 1019 (1984).
J. O. Hirschfelder, C. F. Curtiss, and R. B. Bird, Molecular Theory of Gases and Liquids,
Wiley, New York, 1954, pp. 250ff.