Chemical Thermodynamics

a) Steam water undergoes an isothermal change in state from 8000 kPa to 300 kPaat 400°C. Determine the ratio of fugacities of the final state to the initial state(f2/f1) using data from steam tables. The free molar Gibbs energy of pure com-ponents can be expressed as

\mu=\frac{G}{n}=g=\mathcal{C}(T)+R T \ln f

where C is an integration constant that depends only on the temperature. Giventhe molar mass of water of 18 g mol-1.[10 marks]

(b) Steam enters the turbine of a power plant operating on the Rankine cycle at 30 barand exhausts at 0.50 bar. Determine the thermal efficiency of the cycle and thequality of the exhaust stream from the turbine for a turbine-inlet stream tempera-[6 marks1ture of 400°C.

(c) A simple equation of state was developed for liquids. For an isotherm, the EOS isexpressed as

V=V_{0}\left(1-\frac{A P}{B+P}\right)

where P, Vand V. are pressure, molar volume and molar volume at zero pres-sure, respectively. Also A and B are arbitrary and positive constants. Develop anexpression for the coefficient of isothermal compressibility.[4 marks]

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