Example 4.33. A system consisting of 1 kg of an ideal gas at 5 bar pressure and 0.02 m³ volume executes a cyclic process comprising the following three distinct operations: (i) Reversible expansion to 0.08 m³ volume, 1.5 bar pressure, presuming pressure to be a linear function of volume ($p = a + bV$), (ii) Reversible cooling at constant pressure and (iii) Reversible hyperbolic compression according to law $pV = constant$. This brings the gas back to initial conditions. (i) Sketch the cycle on p-V diagram. (ii) Calculate the work done in each process starting whether it is done on or by the system and evaluate the net cyclic work and heat transfer.
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- Initial state: \( P_1 = 5 \, \text{bar}, V_1 = 0.02 \, \text{m}^3 \) - Final state after process (i): \( P_2 = 1.5 \, \text{bar}, V_2 = 0.08 \, \text{m}^3 \) Show more…
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