(1-10) For the thermodynamic cycle below, in which the working fluid is an ideal gas, M = 25 kg/kmol, C = 1 kJ/kgK constant. At the turbine inlet, Ti = 700 K, P = 10 bar. At the turbine exit, P = 2 bar. At the compressor inlet, T3 = 350 K. The working fluid undergoes adiabatic expansion and compression through the turbine and compressor. The isentropic efficiency of the turbine and compressor is 100%. The pressure drops through the heat exchangers are negligible. Neglect the kinetic and potential energy. The temperatures of the hot and cold thermal reservoirs are 800 K and 300 K, respectively. Find the following:
I. The constant volume specific heat, Cv, in J/kgK.
II. The specific heat ratio, k.
III. The specific volumes at 1, 2, 3, and 4 in m^3/kg.
IV. The temperatures at 2 and 4 in K.
V. Plot the cycle in T-s and p-v diagrams, including the constant-pressure, constant-volume, constant-temperature, and constant-entropy lines.
VI. The work per unit mass produced in the turbine.
VII. The work per unit mass provided by the compressor.
VIII. The heat exchanged in heat exchangers 1 and 2.
IX. The entropy changes through 1-2 and 2-3.
X. The efficiency of this power cycle.
XI. The maximum efficiency under the given thermal reservoirs.