Write the full solution using thermodynamic equation One mole of monoatomic ideal gas initially at 700 K and 10 bar undergoes a four-step mechanically reversible cycle in a closed system. In step 1-2, pressure decreases isothermally to 3 bar; in step 2-3, pressure increases at constant volume to 2 bar; in step 3-4, volume decreases at constant pressure; and in step 4-1, the gas returns adiabatically to its initial state. a. sketch the cycle on a PV diagram with the corresponding pressure, volume, and temperature (PVT) in all states 1,2,3,4. b. Calculate Q,W,ΔU, and ΔH for each step of the cycle.
Write the full solution using
One mole of monoatomic ideal gas initially at 700 K and 10 bar undergoes a four-step
constant volume to 2 bar; in step 3-4, volume decreases at constant pressure; and in step 4-1, the gas returns adiabatically to its initial state.
a. sketch the cycle on a PV diagram with the corresponding pressure, volume, and temperature (PVT) in all states 1,2,3,4.
b. Calculate Q,W,ΔU, and ΔH for each step of the cycle.
c. The cycle traverses exactly the same changes of state, but each step is irreversible with an efficiency of 82% compared with the corresponding mechanically process. Calculate total heat transferred and work done for the cycle.
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