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- A Carnot engine employs 1.5 mol of nitrogen gas as a working substance, which is considered as an ideal diatomic gas with =7.5 at the working temperatures of the engine. The Carnot cycle goes in the cycle ABCDA with AB being an isothermal expansion. The volume at points A and C of the cycle are 5.0103 m3 and 0.15 L, respectively. The engine operates between two thermal baths of temperature 500 K 300 K. (a) Find the values of volume at B and D. (b) How much heat is absorbed by the gas in the AB isothermal expansion? (c) How much work is done by the gas in the AB isothermal expansion? (d) How much heat is given up by the gas in the CD isothermal expansion? (e) How much work is done by the gas in the CD isothermal compression? (f) How much work is done by the gas in the BC adiabatic expansion? (g) How much work is done by the gas in the DA adiabatic compression? (h) Find the value of efficiency of the engine based on the net and heat input. Compare this value to the efficiency of a Carnot engine based on the temperatures of the baths.arrow_forwardAn ideal gas with specific heat ratio confined to a cylinder is put through a closed cycle. Initially, the gas is at Pi, Vi, and Ti. First, its pressure is tripled under constant volume. It then expands adiabatically to its original pressure and finally is compressed isobarically to its original volume. (a) Draw a PV diagram of this cycle. (b) Determine the volume at the end of the adiabatic expansion. Find (c) the temperature of the gas at the start of the adiabatic expansion and (d) the temperature at the end of the cycle. (e) What was the net work done on the gas for this cycle?arrow_forwardA car salesperson claims that a 300-hp engine is a necessary option in a compact car, in place of the conventional 130-hp engine. Suppose you intend to drive the car within speed limits ( 65 mi/h) on flat terrain. How would you counter this sales pitch?arrow_forward
- Ta Shown in the figure below is the cycle undergone by a Heat Pump. Your heat pump runs using 38.07 moles of monatomic Argon gas. At point a in the figure, the temperature is T₂ = 447 Kelvin and the pressure is Pa = 109000 Pascals. During the process a→b, the Volume of the system Doubles. P Cv = 12.471 Cp = 20.785 Y = 1.67 STATE a b с PROCESS a→b b→c c-a Total a P (Pa) 109000 2865.34 248720069 W (J) isothermal ✓ Joules/(mole. K); Joules/(mole K); 1.297 X 2.594 X 1.297 Qhot = Qcold = Performance Coefficient = Joules; Joules; b V (m³) Q (1) 447 447 AU (J) T (K) ✓ Xarrow_forwardA gas was taken through the cycle ABCA shown in the PV diagram below. The curve AB follows the equation PV=9200 where P in Pa and V in m3. On the figure below V1=6 m3 and P1=766.67 Pa. The internal energy at A equals that at B and twice that at C. The heat in J absorbed by the gas in the AB process equals: 28 C- B Viarrow_forward1 mole of monatomic ideal gas has been taken through a cycle as shown in the PV diagram. Vc = 8Vb. Vb = 0.001 m3 and Pb = 106 Pa. The process bc is an adiabatic process. Find the net work done by the gas during each cycle.arrow_forward
- p (kPa) Он 400 5) The figure shows a pV diagram for a cycle of a heat engine for which Q, = 25 J. What is the thermal efficiency of the engine? 200 (Hint: remember to convert cm³ to m³!) A) 17% B) 34% C) 8.5% D) 64% E) 40% 100 V (em³) 200arrow_forwardThe PV diagram shows the compression of 40.9 moles of an ideal monoatomic gas from state A to state B. Calculate Q, the heat added to the gas in the process A to B. Data: PA= 1.90E+5 N/m2 VA= 1.83E+0 m3 PB= 1.01E+5 N/m2 VB= 8.90E-1 m3›44arrow_forwardA heat engine using 1.0 mol of monatomic gas follows the cycle shown in Fig. 4. 3750J of heat energy is transferred to the gas during process 1→2. Determine Ws, Q, and ∆Eth for 2-->3 and 3-->4 processes in the cycle.arrow_forward
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