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Consider the reaction 2NO2 (g)<------> N2 O4 (g), Assume that the gases are described by the equation of state PV/n=RT+B1(T)P+B2(T)P^2/RT, where...

Consider the reaction 2NO2 (g)<------> N2 O4 (g),

Assume that the gases are described by the equation of state
PV/n=RT+B1(T)P+B2(T)P^2/RT, where B1(T)=b-a/RT, B2(T)=b^2,
a=5.354 and 6.55 L^2 bar/mol^2,
b=0.04424 and 0.05636 L/mol,
Cp=6.37 + 0.0101 T - 3.405 T^2 cal/mol K and
Cp=10.719 + 0.0286 T - 8.726 T^2 cal/mol K
for NO2(g) and N2O4(g), respectively.
Do the calculations in the following points (a-g) first for a=b=0 and
then for the above nonzero values.
(a) Find the change of enthalpy and chemical potential for the reaction
at standard conditions.
(b) Calculate f/P, where f is fugacity for both gases at 298.15 K and
P=1-400 bar (plot the results).
(c) Obtain the values Kp and Kc at 298.15 K.
(d) Obtain delta Η for the reaction from T=298.15 to 1000 K.
(e) Obtain expressions for Kp and Kc as a function of T. Plot them as a
function of 1/T from 298.15 to 1000 K.
(f) One mole of NO2(g) is initially placed in a sealed container having
a volume equal to 2 L. Obtain an expression for the equilibrium
concentration of N2O4(g) as a function of T. Make a semi-log plot
of this concentration vs T from 298.15 to 1000 K.
(g) For the situation in (f), obtain the mole fraction of N2O4(g) present a
at equilibrium as a function of total pressure over the range
P=1-400 bar. Make a plot of this mole fraction vs. P.

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