I need correct work to these answers.

6) a) 1.60 moles b) P2 = 734.58 kPa, T2 = 360 K, V2 = .00652 m3 P3 = 321.55 kPa, T3 = 260 K, V3 = .01079 m3 P4 = 348.35 kPa, T4 = 260 K, V4 = .00996 m3

c) Qout of gas = 287.8 Joules d) W1 = 398.1 J, W2 = 2078.75 J, W3 = -287.8 J, W4 = -2078.75 J Wtotal = 110.3 Joules, Eff = 27.7% e) S1-2 = 1.11 J/K, S2-3 = 0 J/K, S3-4 = -1.11 J/K, S4-1 = 0 J/K, Stot = 0 J/K f) COPcooling mode = 2.61, COPheating mode = 3.61

Question:

6) An ideal gas is to undergo a Carnot Cycle. It starts in a chamber of volume .006 m3 and temperature 360 Kelvin and pressure 800 kPa (state 1). It is allowed to expand isothermally to a volume of .00652 m3 (state 2) while heat comes into

the gas. Then it expands adiabatically to a volume of .01079 m3 (state 3). Then, it is compressed isothermally to a volume of V4 m3 (state 4) while heat is extracted from the gas. Finally, it returns to its initial state in an adiabatic process. (The gamma of the gas, = 1.64, therefore, Cv = 1.5625R) a) How many moles of gas are there in this chamber? b) What are the Pressure, Volume, and Temperature in each state? c) How much heat is extracted from the system between states 3 and 4? d) What is the work done by the gas in each stage and the total work and the ideal efficiency of this engine? e) What is the change in entropy from state 1 to 2, 2 to 3, 3 to 4 and 4 to 1 and the total change in entropy? f) If the process is run backwards, what is the COP in the cooling mode and the heating mode?

Questio