the pressure at state 2, in kPa b) the temperature at state 3, in K c) the thermal efficiency of the cycle

A gas with specific volume v₁ = 1 m³/Kg and pressure p₁=1bar in a closed system undergoes a thermodynamic cycle which consists of the following three separate processes: 1->2: Isobaric compression to v₂-0.25 m³/Kg 2->3: Isometric heating. 3->1: Isothermal expansion (pV = constant) to the initial volume. Calculate the specific work produced by the gas per cycle. Present your answer in kJ/kg.

I am getting lost in this practice problem for thermodynamics - thank you! Air at 100 kPa and 280K is compressed steadily to 600 kPa and 400K in an air compressor. The mass flow rate of air through the compressor is 0.02 kg/s and the compressor a heat loss of 16 kJ/kg from the compressor occurs. Assuming steady state steady flow conditions and ideal gas behavior (with constant specific heats, Cp=1.009 kJ/kgK, R=0.287 kJ/kgK, determine: a) The necessary power in put to the compressor(kW).b) The volumetric flow rate of air at the exit of the compressor (m3/s).

A power plant operates in an idealized Rankine cycle, using water as the working fluid (Figure 3). The steam at the exit of the boiler has a pressure of 6 MPa and temperature of 600 °C (point 1). The water at the exit of the condenser has a pressure of 15 kPa (point 3). The condenser employs a nearby river as the cooling source, which can be regarded to have a constant temperature of 25 °C. The mass flow rate of the steam is 80 kg/s. The hot reservoir has a temperature of 1400 K. Regard water as an incompressible liquid. During pumping, the density of water remains unchanged as Point 3 in Figure 3. Qin Boiler i wwwwww Pump Turbine Wp 3 Figure 3 W₁ Cooling water Condenser