An ideal gas initially at 600 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 decreases to 2 bar in an isochoric step; in step 3-4, volume decreases isobarically; and in step 4-1, the gas returns adiabatically to its initial state. (a) Sketch the cycle on a P-V diagram. (b) Determine (where unknown) both T and P for states 1, 2, 3, and 4. (c) Calculate Q, W, AU, and AH for each step of the cycle. Data: C₂ = (7/2)R and C,= (5/2)R.
An ideal gas initially at 600 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 decreases to 2 bar in an isochoric step; in step 3-4, volume decreases isobarically; and in step 4-1, the gas returns adiabatically to its initial state. (a) Sketch the cycle on a P-V diagram. (b) Determine (where unknown) both T and P for states 1, 2, 3, and 4. (c) Calculate Q, W, AU, and AH for each step of the cycle. Data: C₂ = (7/2)R and C,= (5/2)R.
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Transcribed Image Text:An ideal gas initially at 600 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 decreases to 2 bar in an isochoric step; in step 3-4,
volume decreases isobarically; and in step 4-1, the gas returns adiabatically to its initial state. (a) Sketch the cycle on a P-V
diagram. (b) Determine (where unknown) both T and P for states 1, 2, 3, and 4. (c) Calculate Q, W, AU, and AH for each step
of the cycle. Data: Cp = (7/2)R and C,= (5/2)R.
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