Question

(A) "Multiple phases at the same T and P are in equilibrium when the chemical potential of each species is the same in
all phases" - Justify the statement.

B) Derive the following property relation for homogeneous fluid of constant composition.
dH = Cpdt + [v - T (dv/dt)p] dp. Also, ſind the change in enthalpy when liquid ammonia at 270 K is compressed
from its vapor pressure of 381 kPa 1o 1200 kPa. For saturated liquid ammonia at 270 K: V = 1.55 x 10-m®/kg and B =
2.095 x 100K

C) The fugacity of a pure gas is given by the empirical relation In (1) = CP + DP2 (valid in the range of 0 <P <
5000 kPa) where C ==0.067 + 30.7 and. D = 0:0012 – (T is in K). Find the value of fugacity and molar
enthalpy of gas relative to that of the ideal gas at 353.15 K and 3000 kPa.
3 (D) A process strcan contains light species I and heavy species 2. A relatively pure liquid stream containing mostly 2
is desired, obtained by a single-stage liquid/vapor separation. Specifications on the equilibrium composition are: x1 =
0.002 and y, 0.950. Use data given below to determine T (K) and P (bar) for the separator. For the liquid phase,
In Y1 = 0.93x2 and In Y2 = 0.931: innsat - 4; - :. A1 = 10.08, B, = 2571, A2 = 11.63, B3 = 6254.
YE) A1 373 K water and inethyl cyclohexane both have vapor pressures of I atm. Also at 373 K, the latent heats of
vaporization of these compounds are 40.63 kJ/mol for water and 31.55 kJ/mol ſor methyl cyclohexane. If the vapor
pressure of water at 450 K is 4.69 atin, then find the vapor pressure of methyl cyclohexane at 450 K.
0.416​

Answer 1

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Explanation:

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