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# Problem 1-1 - Example 1-1 A simple power cycle is executed...

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Example 1-1 A simple power cycle is executed in a piston-cylinder assembly with air as the working fluid. The cycle consists of three steps: 12 constant volume heat addition 23 adiabatic, quasi-equilibrium, expansion 31 constant pressure cooling At state 1, the temperature and pressure are 70°F and 14.7 psia. At state 2, the temperature is 410°F. The mass of air in the cylinder is 0.0426 lbm. In all your calculations, assume constant specific heats evaluated at the average of T 1 and T 2 . Find: a) pressure and volume at state 2 b) heat and work done in c) volume and temperature at state 3 d) heat and work done in e) heat and work done in f) show that net net QW = for this cycle g) find cycle efficiency

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Solution: a) From the ideal gas law 1 11 mRT PV M = 2 22 mRT M = Dividing one equation by the other and noting that 12 VV = P T P T = 2 14.7 psia (70 460)R (410 460)R P + = + 2 24.1psia P = At state 1, 1 3 lbm density(air, 70, 14.7) 0.0749 ft TP ρ == = = 3 1 1 3 0.0426lbm 0.569ft lbm 0.0749 ft m V = 3 21 b) From the first law for a closed system UQ W ∆=−
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Problem 1-1 - Example 1-1 A simple power cycle is executed...

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