FUND OF ENG THERMODYN(LLF)+WILEYPLUS
9th Edition
ISBN: 9781119391777
Author: MORAN
Publisher: WILEY
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Chapter 3, Problem 3.82P
To determine
Work transfer and heat transfer.
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A piston-cylinder assembly contains 0.5 lb of air initially at a pressure of 30 lb/in² and a temperature of 300°F. The air is heated at
constant pressure until its volume is doubled. Assume the ideal gas model with constant specific heat ratio, k = 1.4.
Determine the work and heat transfer, in Btu.
Step 1
Determine the work, in Btu.
W12= i
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Btu
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The parts of this question must be completed in order. This part will be available when you complete the part above.
Calculate the amount of work necessary for the reversible compression of steam from 1 bar to 10 bar. The compression is to take place in a cylinder fitted with a weightless piston at the constant temperature of 500 oC. Under these conditions we have a superheated vapor.
Report your answer in units of kJ/kg using three decimal places.
As you check your work, note that here we have compression from 1 bar to 10 bar under constant temperature. We would expect the volume of the system to decrease. Use this to check the sign (positive or negative) of your computed work.
Consider a piston-cylinder assembly containing 10.0 kg of water. Initially, the gas has a pressure of 20.0 bar and occupies a volume of 1.0 m3. The system undergoes a reversible process in which it is compressed to 100 bar. The pressure volume relationship during this process is given by: PV1.5 = constant.
(a) What is the initial temperature?
(b) Calculate the work done during this process.
(c) Calculate the heat transferred during this process. (d) What is the final temperature?
Chapter 3 Solutions
FUND OF ENG THERMODYN(LLF)+WILEYPLUS
Ch. 3 - Prob. 3.1ECh. 3 - Prob. 3.2ECh. 3 - Prob. 3.3ECh. 3 - Prob. 3.4ECh. 3 - Prob. 3.6ECh. 3 - Prob. 3.7ECh. 3 - Prob. 3.8ECh. 3 - Prob. 3.9ECh. 3 - Prob. 3.10ECh. 3 - Prob. 3.11E
Ch. 3 - Prob. 3.12ECh. 3 - Prob. 3.13ECh. 3 - Prob. 3.1CUCh. 3 - Prob. 3.2CUCh. 3 - Prob. 3.3CUCh. 3 - Prob. 3.4CUCh. 3 - Prob. 3.5CUCh. 3 - Prob. 3.6CUCh. 3 - Prob. 3.7CUCh. 3 - Prob. 3.8CUCh. 3 - Prob. 3.9CUCh. 3 - Prob. 3.10CUCh. 3 - Prob. 3.11CUCh. 3 - Prob. 3.12CUCh. 3 - Prob. 3.13CUCh. 3 - Prob. 3.14CUCh. 3 - Prob. 3.15CUCh. 3 - Prob. 3.16CUCh. 3 - Prob. 3.17CUCh. 3 - Prob. 3.18CUCh. 3 - Prob. 3.19CUCh. 3 - Prob. 3.20CUCh. 3 - Prob. 3.21CUCh. 3 - Prob. 3.22CUCh. 3 - Prob. 3.23CUCh. 3 - Prob. 3.24CUCh. 3 - Prob. 3.25CUCh. 3 - Prob. 3.26CUCh. 3 - Prob. 3.27CUCh. 3 - Prob. 3.28CUCh. 3 - Prob. 3.29CUCh. 3 - Prob. 3.30CUCh. 3 - Prob. 3.31CUCh. 3 - Prob. 3.32CUCh. 3 - Prob. 3.33CUCh. 3 - Prob. 3.34CUCh. 3 - Prob. 3.35CUCh. 3 - Prob. 3.36CUCh. 3 - Prob. 3.37CUCh. 3 - Prob. 3.38CUCh. 3 - Prob. 3.39CUCh. 3 - Prob. 3.40CUCh. 3 - Prob. 3.41CUCh. 3 - Prob. 3.42CUCh. 3 - Prob. 3.43CUCh. 3 - Prob. 3.44CUCh. 3 - Prob. 3.45CUCh. 3 - Prob. 3.46CUCh. 3 - Prob. 3.47CUCh. 3 - Prob. 3.48CUCh. 3 - Prob. 3.49CUCh. 3 - Prob. 3.50CUCh. 3 - Prob. 3.51CUCh. 3 - Prob. 3.52CUCh. 3 - Prob. 3.1PCh. 3 - Prob. 3.2PCh. 3 - Prob. 3.3PCh. 3 - Prob. 3.4PCh. 3 - Prob. 3.5PCh. 3 - Prob. 3.6PCh. 3 - Prob. 3.7PCh. 3 - Prob. 3.8PCh. 3 - Prob. 3.9PCh. 3 - Prob. 3.10PCh. 3 - Prob. 3.11PCh. 3 - Prob. 3.12PCh. 3 - Prob. 3.13PCh. 3 - Prob. 3.14PCh. 3 - Prob. 3.15PCh. 3 - Prob. 3.16PCh. 3 - Prob. 3.17PCh. 3 - Prob. 3.18PCh. 3 - Prob. 3.19PCh. 3 - Prob. 3.20PCh. 3 - Prob. 3.21PCh. 3 - Prob. 3.22PCh. 3 - Prob. 3.23PCh. 3 - Prob. 3.24PCh. 3 - Prob. 3.25PCh. 3 - Prob. 3.26PCh. 3 - Prob. 3.27PCh. 3 - Prob. 3.28PCh. 3 - Prob. 3.29PCh. 3 - Prob. 3.30PCh. 3 - Prob. 3.31PCh. 3 - Prob. 3.32PCh. 3 - Prob. 3.33PCh. 3 - Prob. 3.34PCh. 3 - Prob. 3.35PCh. 3 - Prob. 3.36PCh. 3 - Prob. 3.37PCh. 3 - Prob. 3.38PCh. 3 - Prob. 3.39PCh. 3 - Prob. 3.40PCh. 3 - Prob. 3.41PCh. 3 - Prob. 3.42PCh. 3 - Prob. 3.43PCh. 3 - Prob. 3.44PCh. 3 - Prob. 3.45PCh. 3 - Prob. 3.46PCh. 3 - Prob. 3.47PCh. 3 - Prob. 3.48PCh. 3 - Prob. 3.49PCh. 3 - Prob. 3.50PCh. 3 - Prob. 3.51PCh. 3 - Prob. 3.52PCh. 3 - Prob. 3.53PCh. 3 - Prob. 3.54PCh. 3 - Prob. 3.55PCh. 3 - Prob. 3.56PCh. 3 - Prob. 3.57PCh. 3 - Prob. 3.58PCh. 3 - Prob. 3.59PCh. 3 - Prob. 3.60PCh. 3 - Prob. 3.61PCh. 3 - Prob. 3.62PCh. 3 - Prob. 3.63PCh. 3 - Prob. 3.64PCh. 3 - Prob. 3.65PCh. 3 - Prob. 3.66PCh. 3 - Prob. 3.67PCh. 3 - Prob. 3.68PCh. 3 - Prob. 3.69PCh. 3 - Prob. 3.70PCh. 3 - Prob. 3.71PCh. 3 - Prob. 3.72PCh. 3 - Prob. 3.73PCh. 3 - Prob. 3.74PCh. 3 - Prob. 3.75PCh. 3 - Prob. 3.76PCh. 3 - Prob. 3.77PCh. 3 - Prob. 3.78PCh. 3 - Prob. 3.79PCh. 3 - Prob. 3.80PCh. 3 - Prob. 3.81PCh. 3 - Prob. 3.82PCh. 3 - Prob. 3.83PCh. 3 - Prob. 3.84PCh. 3 - Prob. 3.85PCh. 3 - Prob. 3.86PCh. 3 - Prob. 3.87PCh. 3 - Prob. 3.88PCh. 3 - Prob. 3.89PCh. 3 - Prob. 3.90PCh. 3 - Prob. 3.91PCh. 3 - Prob. 3.92PCh. 3 - Prob. 3.93PCh. 3 - Prob. 3.94PCh. 3 - Prob. 3.95PCh. 3 - Prob. 3.96PCh. 3 - Prob. 3.97PCh. 3 - Prob. 3.98PCh. 3 - Prob. 3.99P
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- A piston-cylinder assembly contains 0.6 lb of air initially at a pressure of 30 lb/in² and a temperature of 100°F. The air is heated at constant pressure until its volume is doubled. Assume the ideal gas model with constant specific heat ratio, k = 1.4. Determine the work and heat transfer, in Btu.arrow_forwardCalculate the amount of work necessary for the reversible compression of steam from 1 bar to 10 bar. The compression is to take place in a cylinder fitted with a weightless piston at the constant temperature of 500 oC. Under these conditions we have a superheated vapor. Assume that steam may be treated as an ideal gas. Report your answer in units of kJ/kg using three decimal places. For conversion, note that the molar mass of water is 18.015 g/mol.arrow_forward1222arrow_forward
- Carbon dioxide (molar mass 44 kg/kmol) expands reversibly in a perfectly thermally insulated cylinder from 3.7 bar, 220 0C to a volume of 0.085 m3. If the initial volume occupied was 0.02 m3, calculate the work input in kJ to 3 decimal places. Assume nitrogen to be a perfect gas and take cv = 0.63 k J / k g Karrow_forwardA piston–cylinder assembly fitted with a slowly rotating paddle wheel contains 0.17 kg of air, initially at 300 K. The air undergoes a constant-pressure process to a final temperature of 400 K. During the process, energy is gradually transferred to the air by heat transfer in the amount 12 kJ.Assuming the ideal gas model with k = 1.4 and negligible changes in kinetic and potential energy for the air, determine the work done by the paddle wheel on the air and by the air to displace the piston, each in kJ.arrow_forwardAir is contained in a piston/cylinder device at an initial state where the volume is 1.7 m3, temperature is 250 K, and pressure is 454 kPa. In a portion of an engine cycle, air goes through the following two sequential processes: Process 1-2: It is heated while the system is allowed to expand at constant pressure, until the volume increases by 55%. Process 2-3: It is heated further to maintain a constant temperature while the volume increases by 55% again. To simplify this problem, you can treat air as an ideal gas with constant specific heats. a.) On your paper, draw these processes on a P-V diagram. Label states 1, 2, and 3. b.) During these two combined processes, how much heat is transferred to the air, in kJ?arrow_forward
- A piston-cylinder device contains 2 kg of water which is initially a saturated liquid at 300 ∘ C. It undergoes three processes to form a cycle. The first process is constant volume, the second is constant pressure at 2 bar and the third is a polytropic process where Pv 1.1 = constant. If you can calculate the heat transfer and work (both in kJ ) for each process. Is the device a heat engine or a refrigerator? Answer Table Description Work transfer for first process (kJ) Heat transfer for first process (kJ) Work transfer for second process (kJ) Heat transfer for second process (kJ) Work transfer for third process (kJ) Heat transfer for third process (kJ) Heat engine (1) or refrigerator (2) Value Value Thank youarrow_forwardA gas with specific volume v₁ 1 m³/Kg and pressure p₁=6bar in a closed system undergoes a thermodynamic cycle which consists of the following three separate processes: 1->2: Isobaric compression to V₂=0.25 m³/Kg 2->3: Isometric heating. 3->1: Isothermal expansion (pV constant) to the initial volume. - Calculate the specific work produced by the gas per cycle. Present your answer in kJ/kg. =arrow_forwardA gas undergoes isobaric expansion at 0.05 bar from 0.1 m³ to 1.0 m³ when 2.0 KiloJoules of heat is applied to it. Which of the following is true regarding the work, heat and the change in internal energy involed in this change (all quantities in KiloJoules)? A. +4.5, -2.0, +2.5 B. -4.5, +2.0, -2.5 C. +4.5, +2.0, +6.5 D. -4.5, -2.0, -6.5arrow_forward
- A piston cylinder assembly containing 1.3 kg n-Hexane gas at 146 kPa with an initial volume of 5.74 m3 undergoes a thermodynamics cycle containing three processes as follows: Process 1-2 Isobaric compression until its volume becomes half the original volume Process 2-3 Polytropic expansion that obeys PV^n= C where n=-1.9 until original volume Process 3-1 Constant volume cooling Assuming n-Hexane behaves as ideal gas, calculate the net work transfer of the cycle (in kJ).arrow_forwardOxygen undergoes an adiabatic process, the pressure volume relationship given as p = (5/V)+1.5 where is in bar and V is in m3. During the process the volume changes from 1.5 x 108 mm3 to 0.05 m3 and the system takes 45 kJ of heat. Determine (i) Work done and Change in internal energy (ii) Final pressure of the gas, if the initial pressure is 1 atm Final temperature of gas, if the initial temperature is 80°C and massarrow_forwardTwo kg of Refrigerant 134a undergoes a polytropic process in a piston–cylinder assembly from an initial state of saturated vapor at 2 bars to a final state of 12 bars and 80°C. Determine the work transfer for the process, in kJ.arrow_forward
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