A. The following diagram represents a reversible carnot cycle of 1mol of an ideal gas (Cv = 1.5R). Calculate the work at each step, and the total work for the cycle. (Hint: one of the steps is adiabatic) B. Determine the efficiency of this cycle.
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A. The following diagram represents a reversible carnot cycle of 1mol of an ideal gas (Cv = 1.5R). Calculate the work at each step, and the total work for the cycle. (Hint: one of the steps is adiabatic)
B. Determine the efficiency of this cycle.
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- P Example of calculation of work P = 1 Atm V%= 1 litre iii ii P V V,12 V In this cycle the system, which is an ideal monatomic gas, undergoes first isothermal (i) then adiabatic (ii) compression steps, each of which halve the volume, then returns to its starting point via first isothermal (iii) and then adiabatic (iv) expansions, each of which double the volume. How much work is done by the system during the cycle if P, is 1 atmosphere and V, =1 litre?Consider a heat engine with a cycle described by the figure, with the volume and pressure at points A, B, C, and D given below. VA = 0.95 × 10-3 m3VB = 3.5 × 10-3 m3PA = 2.65 × 106 N/m2PB = 2.37 × 106 N/m2PC = 0.75 × 106 N/m2PD = 1.29 × 106 N/m2 a)Calculate the net work output, in joules, of the heat engine following path ABCDA.Consider a process that uses n moles of a monatomic ideal gas operating through a Carnot cycle. The initial temperature and pressure of the gas are T1 and P1, respectively. Consider steps 1 → 2, 2 → 3, 3 → 4, and 4 → 1. a. In the adiabatic heating, the temperature of the gas is doubled. Write an expression for the volume V3 after this step in terms of V1. b. Write an expression for the volume V4 in terms of V1.
- Topic: Thermodyamics (also included in Chem). Please explain what the Carnot cycle or a heat engine is about step by step.One mole of an ideal gas is used as the working substance of an engine operating in the cycle shown in the figure below. BC and DA processes are reversible adiabatic.a) Is the gas monoatomic, diatomic or triatomic?b) What is the efficiency and engine?A certain gasoline engine is modeled as a monatomic ideal gas undergoing an Otto cycle, represented by the p-V diagram shown in the figure. The initial pressure, volume, and temperature are p1 = 1.05 × 105 Pa, V1 = 0.035 m3, and T1 = 290 K, respectively. a)The first step in the Otto cycle is adiabatic compression. Enter an expression for the work performed on the gas during the first step, in terms of V1, V2, and p1. b) Calculate the temperature of the gas, in kelvins, at the end of the first step. c)The fourth and last step in the Otto cycle is isochoric cooling to the initial conditions. Find the amount of heat, in joules, that is discharged by the gas during the fourth step.
- Consider a refrigerator undergoing a cycle. a. What is the maximum coefficient of performance that an ideal refrigerator can achieve if it operates between thermal reservoirs at 150K and 220K? b. Is it possible for a refrigerator operating between the same two temperatures of part (a) to have heat transfer in to the cycle of 34 kJ and heat transfer out of 42 kJ? Why or why not?Problem #8 In one cycle of an engine, 1.80 kJ of energy is absorbed from a hot reservoir at 280°C, and 1.15 kJ of energy is expelled to a cold reservoir at 25.0°C. a) How much work (in J) is done by the engine in each cycle? b) What is the engine's efficiency? c) How does this compare to the Carnot Efficiency?A refrigerator has a coefficient of performance of K=2.2 Each cycle, it absorbs 3.35×104 J of heat from the cold reservoir. The refrigerator is driven by a Carnot engine that has an efficiency of e=0.5. A)How much mechanical energy is required each cycle to operate the refrigerator? B)During each cycle, how much heat flows into the Carnot engine?