An ideal Otto cycle has a compression ratio of 7. At the beginning of the compression process, P1 = 90 kPa, T1 = 27°C, and V1 = 0.004 m3 . The maximum cycle temperature is 1127°C. For each repetition of the cycle, calculate the heat rejection and the net work production. Also calculate the thermal efficiency and mean effective pressure for this cycle. Use constant specific heats at room temperature.
Q: le of a dia kdeal gas wim a cyllnder, is carried through a closed cycle. The gas is initially at 30…
A: Given: V = 4 litres = 4×10-3 m3γ = 1.40Pi = 30 atm = 3.04×106 PaTi = 300 K
Q: Isotherm T=423 K 2. The above figure shows the PV diagram for a reversible heat engine that uses…
A: Given: Number of moles n =2 Diatomic gas At point a , temperature = 20 degrees and pressure = 105…
Q: A refrigerator has a coefficient of performance of K=2.2 Each cycle, it absorbs 3.35×104 J of heat…
A: A heat pump/refrigerator transfers energy from a cold reservoir to a hot reservoir, provided some…
Q: A heat engine is made to operate between temperature limits of 1037°C and 265°C. The engine is…
A: (a) Given: The temperature range is 1037∘ C to 265∘ C. The engine is expected to produce 5300 kJ.…
Q: Problem 2: To make ice, a freezer that is a reverse Carnot engine extracts 42 kJ as heat at -15°C…
A: Given, Reverse engine extracts heat from the cold reservoir, Q = 42 kJ temperature of cold…
Q: A Carnot engine operates between reservoirs at 625 and 315 K. If the engine absorbs 115J per cycle…
A:
Q: Calculate work made by 1.75 moles of ideal gas in the isothermal cycle shown in P-V diagram below.…
A:
Q: 0.6 kg of air at STP undergoes a process in which its volume decreases by 10%. During the process,…
A:
Q: A container with 41 g of a certain liquid (c = 4171 J/kg · °C, Lv=2224 kJ/kg) at 22 °C is heated up…
A:
Q: Problem 2: A refrigerator has a coefficient of performance equal to 5. The refrigerator discards 150…
A: Given , Coefficient of performance, COP = 5 Amount of heat rejected into high temp reservoir ,…
Q: The working substance of a certain Carnot engine is 1.70 mol of an ideal monatomic gas. During the…
A:
Q: A refrigerator has a coefficient of performance of 2. The ice (cice = 2090 J/kg.ºC) tray compartment…
A: Given, Coefficient of performance K = 2 Temperature of ice tray compartment Ti = -14 degree…
Q: A Carnot cycle with 75% efficiency, what is the minimum to maximum temperature ratio? O 3/4 O 4/3 O…
A:
Q: Net work done = 800 kJ 400 K D C 300 K V What is the entropy change in the entire cycle? what is the…
A: net work done = 800 kJ B = 400 K C = 300 K
Q: Two moles of an ideal diatomic gas go through the cycle abc. For the complete cycle, 800 J of heat…
A:
Q: The efficiency of the Otto cycle is given by e=1- (V₁/V₂) -1, where the ratio of larger volume to…
A: Given: Minimum volume, V2=40.0 cm3. Maximum volume, V1=240 cm3. γ=1.40 Requires: Efficiency=?…
Q: an ideal mole of gas with an initial temperature T = 300K, expands isobarically until its volume…
A: Given: The number of moles of ideal gas n=1. The initial temperature of the ideal gas is T1=300 K.…
Q: A 4.00 L sample of a diatomic ideal gas with specific heat ratio 1.40, confined to a cylinder, is…
A: Let V1 and V2 is the initial volume and final volume. And let P1 and P2 be defined as the initial…
Q: 4. Consider a heat engine comprising two isochores and two isobars, as in the diagram below. Suppose…
A:
Q: 4
A: Apply ideal gas equation for the processes 2-3 and 1-4.
Q: 3 Engine Cycle A D V An ideal engine operates with a perfect monatomic gas that has y = 4/3 in the…
A: Given: γ=43…
Q: 1 liter of an ideal gas is allowed to expand at constant temperature from 3 atm to a final pressure…
A:
Q: An ideal gas is taken through a Carnot cycle. The isothermal expansion occurs at 250°C, and the…
A:
Q: Problem 1: Otto cycle Prove directly (by calculating the heat taken in and the heat expelled) that…
A: Process 1-2 is adiabatic compression and 3-4 is adiabatic expansion. Heat is taken in during the…
Q: An ideal gas is taken through a Carnot cycle. The isothermal expansion occurs at 250°C, and the…
A: Higher temperature T1=250oC=523 K, lower temperature T2=50oC=323 K, amount of heat extracted from…
Q: The operating temperatures for a Carnot engine are Tc and Th= Tc+55 K. The efficiency of the engine…
A: We have to fine the value of Tc and Th. We know the relation between Tc and Th is Th=Tc+55 K
Q: Consider the cycle using monoatomic ideal gas described by the PV diagram below. The process 1 2 is…
A: For a monoatomic ideal gas, the value of the adiabatic ratio is γ=1.67. Let us find the value of P2…
Q: What is the relation between the work done for this cycle if b->c is an adiabat vs if b->c is an…
A: Given, Process ab Isochoric process is a thermodynamic process in which volume of the system remains…
Q: A Carnot refrigeration cycle is used as a reference to estimate the energy needed in an attempt to…
A: The temperature of sample is reduced by removing some energy from it. Due to this the entropy will…
Q: A thermal engine absorbs 1500 J of heat from a gas at a temperature of 250°K and discards 1200 J of…
A: a)We know that work done is given as Qin -Qout hence work done = 1500 J -1200 J =300 J b) Thermal…
Q: entropy
A: Here in this process the gas taken is Ar which is a ideal gas . And we know in case of ideal gas,…
Q: 1. For a reversible carnot cycle starting with an isothermal expansion with 2.50 mol of an ideal gas…
A:
Q: A freezer sustains a cold environment of -22°C and exhausts its heat at 40°C. Assume a Carnot cycle.…
A:
Q: 1. A certain gasoline engine has an efficiency of 31%. What would the hot reservoir temperature be…
A:
Q: Identify the processes in the cycle. Þ 1. Path AB = The temperature in (1) is 350 K, the work done…
A:
Q: One mole of an ideal monatomic gas goes through the reversible cycle shown. V₁ = .0.0130 m³, Vab =…
A:
Q: P OOOOOO P₂ 2 1 + Q23=O P₁ V₁ V3 The closed cycle for a heat engine that uses a diatomic gas…
A:
Q: Shown below is the PV-diagram for a clockwise cycle. Determine the work done during the cycle, the…
A:
Q: A heat engine operating at steady state delivers a power output of 17 hp. The engine receives energy…
A: Write the given values with suitable variables. t=1 min50=6050 s=1.2 sP=17 hp=12682 WQh=33 kJ=33×103…
Q: A reversible power cycle operating as in the figure receives energy QH by heat transfer from a hot…
A: Given Data, Rejected EnergyQC=10 Btu Temperature of the cold reservoirTC=400F Work for the cycleW=30…
Q: A heat engine provides a net power output of 14 kW and has an efficiency of 23 %. The engine rejects…
A:
Q: A 1.00-mol sample of an ideal monatomic gas is taken through the cycle shown in the figure. The…
A:
Q: A 4.00 L sample of a diatomic ideal: K. First, its pressure is tripled under volume (see the…
A: The volume of the diatomic ideal gas = 4 L The specific heat ratio = 1.4 P1 = 68 atm and T1 =…
An ideal Otto cycle has a compression ratio of 7. At the beginning of the compression process, P1 = 90 kPa, T1 = 27°C, and V1 = 0.004 m3 . The maximum cycle temperature is 1127°C. For each repetition of the cycle, calculate the heat rejection and the net work production. Also calculate the thermal efficiency and mean effective pressure for this cycle. Use constant specific heats at room temperature.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
- A heat engine operates under the following thermodynamic cycle:A→B: isobaric expansion(P=const.)B→C: isochoric cooling(V=const.)C→A: isothermal compression(T=const.)The engine is operated by nmoles of oxygen, a diatomicgas which behaves like an ideal gas without any appreciable vibrational kinetic energy.The thermodynamic cycle described by the gas is entirely defined by pressures PAand PC, and volume VA. Assume that PC=PA/2and give all your answers in terms of n, R, PAand VA. b)Sketch the cycle on a P-Vdiagram and determine all the unknown pressures, volumes and temperatures. c)Determine the efficiency of this engine, defined by e =Wnet/Qin.Wnetis the net work done by the gas over a full cycle and Qinis the total heat that flows into the gas.Be careful, Qindoes not include the heat released by the gas.Q1: The peak pressure in an otto cycle is 21 bar. With a compression ratio of 5 and the minimum pressure of 1 bar; determine (a) thermal efficiency; (b) mean effective pressure. Assume the working substance as air with Y-1.4.Shown below is the PV-diagram for a clockwise cycle. Determine the work done during the cycle, the heat flow during the cycle, & the change in internal energy during the cycle. P (N/m²) 10- 8 W = Q = AU = 4 2 V (m³) 2 4 6 8 10
- Combustion gases enter an adiabatic gas turbine at 1540F and 120 psia and leave at 60 psia with a low velocity. Treating the combustion gases as air and assuming an isentropic efficiency of 82 percent, determine the work output of the turbine.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) 200A 3 mole sample ideal gas is confined in a cylinder that is carried through a closed cycle. The gas is initially at 70 atm and at 300 K. First, its pressure is tripled under constant volume. Then, it expands isothermally to its original pressure. Finally, the gas is compressed isobarically to its original volume (see the figure) . What was the net work done (in MJ) on the gas for this cycle? (Hint: clockwise cycle causes negative work done) (Answer 2 decimal places) 3P, Isothermal P V(L) Vc
- A Carnot cycle working between 100 °C and 30 °C is used to drive a refrigerator between −10 °C and 30 °C. How much energy must the Carnot engine produce per second so that the refrigerator is able to discard 10 J ofenergy per second?What is the thermal efficiency of a Carnot cycle operating between 52oC and 352oC? 84% 56% 48% 15% none of the listed values. 73%A certain coal-fired power plant has a rated power capacity of P = 850 MW. The output of this plant is W = 0.21QH, where QH is the energy input as heat from the hot reservoir. a) Which would increase the efficiency more, doubling QH or reducing QC by half? b) Calculate the maximum thermal efficiency of the power plant. c) Calculate the absolute value of the exhausted heat (QC) each second in MJ for the power plant. d) If the power plant operates for a full day at its rated capacity, how much energy QH in MJ is needed? e) If, on average, one ton of coal contains Q = 25 GJ of energy, how many tons nH of coal would the plant need to operate for a day at its rated capacity? f) How many tons nC of this coal is exhausted as wasted heat to QC in a single day?