Question

A piston-cylinder device contains steam that undergoes a reversible thermodynamic cycle. Initially the steam is at 400 kPa and 350^\circ{}C with a volume of 0.5 m^3. The steam is first expanded isothermally to 150 kPa, then compressed adiabatically to the initial pressure, and finally compressed at the constant pressure to the initial state. Determine the net work and heat transfer for the cycle after you calculate the work and heat interaction for each process.

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Given\text{\textcolor{#4257b2}{\textbf{Given}}}

Steam undergoes as the Thermodynamic cycle with the following sequence.

Steam initial conditions.

  • Pressure P1=400 kPaP_{1} = 400 \ \mathrm{kPa}

  • Temperature T1=350 CT_{1} = 350 \ \mathrm{^\circ C}

  • Volume V1=0.3 m3V_{1} = 0.3 \ \mathrm{m^{3}}

Isothermal expansion.

  • Pressure P2=150 kPaP_{2} = 150 \ \mathrm{kPa}

  • Temperature T2=350 CT_{2} = 350 \ \mathrm{^\circ C}

Adiabatic compression.

  • Pressure P3=400 kPaP_{3} = 400 \ \mathrm{kPa}

Compression at constant pressure.

  • Pressure P4=P1=400 kPaP_{4} = P_{1} = 400 \ \mathrm{kPa}

  • Temperature T4=T1=350 CT_{4} = T_{1} = 350 \ \mathrm{^\circ C}

  • Volume V4=V1=0.3 m3V_{4} = V_{1} = 0.3 \ \mathrm{m^{3}}

Required\text{\textcolor{#4257b2}{\textbf{Required}}}

  • Determine the net work and heat transfer for the cycle after you calculate the work and heat interaction for each process.

Assumptions\text{\textcolor{#4257b2}{\textbf{Assumptions}}}

  • All processes are reversible.

  • Kinetic energy effect is neglected.

  • Potential energy effect is neglected.

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