Fundamentals Of Engineering Thermodynamics
9th Edition
ISBN: 9781119391388
Author: MORAN, Michael J., SHAPIRO, Howard N., Boettner, Daisie D., Bailey, Margaret B.
Publisher: Wiley,
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Chapter 4, Problem 4.81P
a)
To determine
Initial and final mass of air in cavern.
b)
To determine
Work done by the compressor.
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A cycle starts with an adiabatic compression of the air from state a with a volume V3 to state b with volume V1. At the end of the compression, heat is added (absorbed), resulting in an isobaric expansion to state c with volume V2 followed by an adiabatic expansion back to volume V3 at state d. Finally, heat is expelled, corresponding to an isochoric reduction completing the cycle and bringing air back to state a.
Find the ratio between the initial and final temperatures for (1) the adiabatic compression, and (2) the adiabatic expansion in terms of the expansion ratio re = V3 /V2 and the compression ratio rc = V3 /V1..
Problem 22.3
Air is contained inside a simple piston cylinder device as shown in the figure. It expands from state 1 to state 2
according the process information shown below:
State 1: P₁= 200 kPa;
₁ = 0.5 m³;
T₁ = 300 K
Process 1-2: Expansion process (see graph) where P = 50 kPa + (300 kPa/m³)
State 2: P₂ = 350 kPa; ₂ = 1.0 m³
Determine: the work done on or by the air contained in the
piston-cylinder device, in kJ (indicate direction, i.e., is the work
done on or by the air?)
Air
P
350 kPa
200 kPa
1
0.5
1.0
Ans: d) 185 kJ <≤ Wnet] ≤ 200 kJ
K
CHR
6. An inventor comes to you with a device that produces work. She tells you helium gas at 10
atm and 650 K enters the device and exits at 2 atm and 260 K. Assume an ideal gas with
constant specific heat and the surroundings are at 25 C, Cp = 5.2 kJ/kg-K. Is this process
possible assuming steady-state operation?
Chapter 4 Solutions
Fundamentals Of Engineering Thermodynamics
Ch. 4 - Prob. 4.1ECh. 4 - Prob. 4.2ECh. 4 - Prob. 4.3ECh. 4 - Prob. 4.4ECh. 4 - Prob. 4.5ECh. 4 - Prob. 4.6ECh. 4 - Prob. 4.7ECh. 4 - Prob. 4.8ECh. 4 - Prob. 4.9ECh. 4 - Prob. 4.10E
Ch. 4 - Prob. 4.11ECh. 4 - Prob. 4.12ECh. 4 - Prob. 4.13ECh. 4 - Prob. 4.14ECh. 4 - Prob. 4.15ECh. 4 - Prob. 4.1CUCh. 4 - Prob. 4.2CUCh. 4 - Prob. 4.3CUCh. 4 - Prob. 4.4CUCh. 4 - Prob. 4.5CUCh. 4 - Prob. 4.6CUCh. 4 - Prob. 4.7CUCh. 4 - Prob. 4.8CUCh. 4 - Prob. 4.9CUCh. 4 - Prob. 4.10CUCh. 4 - Prob. 4.11CUCh. 4 - Prob. 4.12CUCh. 4 - Prob. 4.13CUCh. 4 - Prob. 4.14CUCh. 4 - Prob. 4.15CUCh. 4 - Prob. 4.16CUCh. 4 - Prob. 4.17CUCh. 4 - Prob. 4.18CUCh. 4 - Prob. 4.19CUCh. 4 - Prob. 4.20CUCh. 4 - Prob. 4.21CUCh. 4 - Prob. 4.22CUCh. 4 - Prob. 4.23CUCh. 4 - Prob. 4.24CUCh. 4 - Prob. 4.25CUCh. 4 - Prob. 4.26CUCh. 4 - Prob. 4.27CUCh. 4 - Prob. 4.28CUCh. 4 - Prob. 4.29CUCh. 4 - Prob. 4.30CUCh. 4 - Prob. 4.31CUCh. 4 - Prob. 4.32CUCh. 4 - Prob. 4.33CUCh. 4 - Prob. 4.34CUCh. 4 - Prob. 4.35CUCh. 4 - Prob. 4.36CUCh. 4 - Prob. 4.37CUCh. 4 - Prob. 4.38CUCh. 4 - Prob. 4.39CUCh. 4 - Prob. 4.40CUCh. 4 - Prob. 4.41CUCh. 4 - Prob. 4.42CUCh. 4 - Prob. 4.43CUCh. 4 - Prob. 4.44CUCh. 4 - Prob. 4.45CUCh. 4 - Prob. 4.46CUCh. 4 - Prob. 4.47CUCh. 4 - Prob. 4.48CUCh. 4 - Prob. 4.49CUCh. 4 - Prob. 4.50CUCh. 4 - Prob. 4.51CUCh. 4 - Prob. 4.1PCh. 4 - Prob. 4.2PCh. 4 - Prob. 4.3PCh. 4 - Prob. 4.4PCh. 4 - Prob. 4.5PCh. 4 - Prob. 4.6PCh. 4 - Prob. 4.7PCh. 4 - Prob. 4.8PCh. 4 - Prob. 4.9PCh. 4 - Prob. 4.10PCh. 4 - Prob. 4.11PCh. 4 - Prob. 4.12PCh. 4 - Prob. 4.13PCh. 4 - Prob. 4.14PCh. 4 - Prob. 4.15PCh. 4 - Prob. 4.16PCh. 4 - Prob. 4.17PCh. 4 - Prob. 4.18PCh. 4 - Prob. 4.19PCh. 4 - Prob. 4.20PCh. 4 - Prob. 4.21PCh. 4 - Prob. 4.22PCh. 4 - Prob. 4.23PCh. 4 - Prob. 4.24PCh. 4 - Prob. 4.25PCh. 4 - Prob. 4.26PCh. 4 - Prob. 4.27PCh. 4 - Prob. 4.28PCh. 4 - Prob. 4.29PCh. 4 - Prob. 4.30PCh. 4 - Prob. 4.31PCh. 4 - Prob. 4.32PCh. 4 - Prob. 4.33PCh. 4 - Prob. 4.34PCh. 4 - Prob. 4.35PCh. 4 - Prob. 4.36PCh. 4 - Prob. 4.37PCh. 4 - Prob. 4.38PCh. 4 - Prob. 4.39PCh. 4 - Prob. 4.40PCh. 4 - Prob. 4.41PCh. 4 - Prob. 4.42PCh. 4 - Prob. 4.43PCh. 4 - Prob. 4.44PCh. 4 - Prob. 4.45PCh. 4 - Prob. 4.46PCh. 4 - Prob. 4.47PCh. 4 - Prob. 4.48PCh. 4 - Prob. 4.49PCh. 4 - Prob. 4.50PCh. 4 - Prob. 4.51PCh. 4 - Prob. 4.52PCh. 4 - Prob. 4.53PCh. 4 - Prob. 4.54PCh. 4 - Prob. 4.55PCh. 4 - Prob. 4.56PCh. 4 - Prob. 4.57PCh. 4 - Prob. 4.58PCh. 4 - Prob. 4.59PCh. 4 - Prob. 4.60PCh. 4 - Prob. 4.61PCh. 4 - Prob. 4.62PCh. 4 - Prob. 4.63PCh. 4 - Prob. 4.64PCh. 4 - Prob. 4.65PCh. 4 - Prob. 4.66PCh. 4 - Prob. 4.67PCh. 4 - Prob. 4.68PCh. 4 - Prob. 4.69PCh. 4 - Prob. 4.70PCh. 4 - Prob. 4.71PCh. 4 - Prob. 4.72PCh. 4 - Prob. 4.73PCh. 4 - Prob. 4.74PCh. 4 - Prob. 4.75PCh. 4 - Prob. 4.76PCh. 4 - Prob. 4.77PCh. 4 - Prob. 4.78PCh. 4 - Prob. 4.79PCh. 4 - Prob. 4.80PCh. 4 - Prob. 4.81PCh. 4 - Prob. 4.82PCh. 4 - Prob. 4.83PCh. 4 - Prob. 4.84PCh. 4 - Prob. 4.85PCh. 4 - Prob. 4.86PCh. 4 - Prob. 4.87PCh. 4 - Prob. 4.88P
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- The figure shows data for a portion of the ducting in a ventilation system operating at steady state. The ducts are well insulated and the pressure is very nearly 1 atm throughout. The volumetric flow rate entering at state 2 is AV2 = 4400 ft3/min. Assume the ideal gas model for air with cp = 0.24 Btu/lb·oR and ignore kinetic and potential energy effects. Determine the temperature of the air at the exit, in oF, and the rate of entropy production within the ducts, in Btu/min·oR.arrow_forward4. Considering the Typical Energy Balance for gasoline engine, @ atmospheric condition of 1.013 bar and 26°C with constant speed of 2800 rpm, intake air flow rate of 190 Kg/hr, and volumetric efficiency of 75%. If 16.61 KW of energy loss to surrounding was considered. Determine a. The amount of torque in Nm needed b. The mass flow rate of fuel in Kg/hr with calorific value of 45 400 KJ/Kg c. The volume displacement Note: Typical Full Load Energy Balance for Gasoline Engine based on 100% fuel input ЕСТВР -25% ELTCW -30% ELTEG - 37% ELTS 8%arrow_forwardA cycle starts with an adiabatic compression of the air from state a with a volume V3 to state b with volume V1. At the end of the compression, heat is added (absorbed), resulting in an isobaric expansion to state c with volume V2 followed by an adiabatic expansion back to volume V3 at state d. Finally, heat is expelled, corresponding to an isochoric reduction completing the cycle and bringing air back to state a. The thermodynamic identity is given by dU = T dS − P dV. The constant values for the entropy during the adiabatic compression and expansion are S1 and S2, respectively. Illustrate the cycle on a T S diagram labelling states a, b, c and d then find an expression for the temperature T as a function of entropy S for the isobaric and isochoric strokes of the cycle (engine).arrow_forward
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- EXAMPLE 1 A volume of 0.03 m of O, mi larally at 220 F and pressure 4 bar is compressed reversibly at constant temperature to final volume 0.6 m3. Calculate the mass, the final pressure , the increase in internal energy and work done. Mo2 = 32 mol / kg EXAMPLE 2 g of gas occupying 0,7 m had on original temperature of 0.25 15 °F. It was then heated at constant volume until its temperature become 135 °C. How much heat was transferred to the gas and what was its final pressure? Take Cv = 0.72 kJ/ kg.K and R = 0.29 kJ/ kg.K EXAMPLE 3 A certain fluid at 10 KPa is contained in a cylinder behind a piston. The initial volume being 0.5 m'. Calculate the work done .by the fluid when it expands reversibly a- At constant pressure to a final volume of 0,7 m? b- according to a linear law to a final volume of 1 m' and a final pressure of 2.5 bararrow_forward11. an ideal gas with MW= 33 is contained in a flexible tank. it is heated from 258.71 C to 559.35 C. if the change in internal energy is 178 kJ/kg, what is work in kJ/kgarrow_forwardA rigid, well-insulated tank contains air. A partition in the tank separates 12 ft^3 of air at 14.7 lbf/in2, 40◦F (left side of the tank) from 10 ft^3 of air at 50 lbf/in2, 200◦F(right side of the tank), as illustrated in the figure. The partition is removed and air from the two sides mix until a final equilibrium state is attained. The air can be modeled as an ideal gas, and kinetic and potential energy effects can be neglected. (Note: values for the left side of the tank are denoted with a subscript L, and values for the right side of the tank are denoted with a subscript R). a) Determine the final temperature (in F) b) Determine the final pressure (in lbf/in^2) c) Calculate the amount of entropy produced, in Btu/R d) Is this mixing process reversible or irreversible?arrow_forward
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