Pretend you don’t know and can’t look up the vapor pressure of butane at 250 K. What are the solutions for V [m3/mol] from the van der Waals equation for n-butane at T = 250 K and P = 0.2 MPa. Give only the solutions that *could* represent stable equilibrium phases, based upon what you know.


A. (0.000 150, 0.000 549, 0.009 81)
B. (0.000 549)
C. (0.0176)
D. (0.000 150, 0.00981)
E. None of these are the real solutions


A. Incorrect. These are the solutions for V, but the middle one cannot be physically meaningful, regardless of the vapor pressure.
B. Incorrect. This is one of the values obtained from the correct calculation, but there are three solutions and this is the middle one, which is not physically meaningful.
C. Incorrect. You have confused temperature and critical temperature in your calculations. At these conditions the isotherm is subcritical.
D. Correct. Without knowing the vapor pressure, you cannot determine which of these two is a stable equilibrium phase. In Chapter 8 we will learn to estimate vapor pressure from an equation of state.
E. Incorrect. One of these is the correct answer.

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