Thermodynamics: An Engineering Approach
9th Edition
ISBN: 9781260048766
Author: CENGEL
Publisher: MCG
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Chapter 13.3, Problem 100RP
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What is the Δr xn G o (in KJ/mole) for a mole of an ideal gas as pressure changes from 0.1 Pa to 1 x10 5 Pa?
(NOTE: Express answer in THREE SIGNIFICANT FIGURES.)
A cylinder contains oxygen at a pressure of 2.00 atm. The volume is 4.00 L, and the temperature is 300 K. Assume that the oxygen may be treated as an ideal gas. The oxygen is carried through the following processes: (i) Heated at constant pressure from the initial state (state 1) to state 2, which has T = 450 K. (ii) Cooled at constant volume to 250 K (state 3). (iii) Compressed at constant temperature to a volume of 4.00 L (state 4). (iv) Heated at constant volume to 300 K, which takes the system back to state 1. (a) Show these four processes in a pV-diagram, giving the numerical values of p and V in each of the four states. (b) Calculate Q and W for each of the four processes. (c) Calculate the net work done by the oxygen in the complete cycle. (d) What is the efficiency of this device as a heat engine? How does this compare to the efficiency of a Carnot-cycle engine operating between the same minimum and maximum temperatures of 250 K and 450 K?
At low pressures, the compressibility factor of a van der Waals gas is given by the equation:
Z = PV/RT = 1+(b- a/RT) P/RT
Calculate the fugacity of nitrogen gas at 3000 K and 0.05 bar. The van der Waals
constants of nitrogen gas are a = 1.408 L^2-bar-mol^2
and b = 0.03913 L-mol^-1. By investigating the fugacity coefficient, what can be said about nitrogen at this
temperature and pressure?
*final answer in 4 decimals
Chapter 13 Solutions
Thermodynamics: An Engineering Approach
Ch. 13.3 - What are mass and mole fractions?Ch. 13.3 - Consider a mixture of several gases of identical...Ch. 13.3 - The sum of the mole fractions for an ideal-gas...Ch. 13.3 - Somebody claims that the mass and mole fractions...Ch. 13.3 - Consider a mixture of two gases. Can the apparent...Ch. 13.3 - What is the apparent molar mass for a gas mixture?...Ch. 13.3 - Prob. 7PCh. 13.3 - The composition of moist air is given on a molar...Ch. 13.3 - Prob. 9PCh. 13.3 - Prob. 10P
Ch. 13.3 - A gas mixture consists of 20 percent O2, 30...Ch. 13.3 - Prob. 12PCh. 13.3 - Prob. 13PCh. 13.3 - Consider a mixture of two gases A and B. Show that...Ch. 13.3 - Is a mixture of ideal gases also an ideal gas?...Ch. 13.3 - Express Daltons law of additive pressures. Does...Ch. 13.3 - Express Amagats law of additive volumes. Does this...Ch. 13.3 - Prob. 18PCh. 13.3 - How is the P-v-T behavior of a component in an...Ch. 13.3 - Prob. 20PCh. 13.3 - Prob. 21PCh. 13.3 - Prob. 22PCh. 13.3 - Consider a rigid tank that contains a mixture of...Ch. 13.3 - Prob. 24PCh. 13.3 - Is this statement correct? The temperature of an...Ch. 13.3 - Is this statement correct? The volume of an...Ch. 13.3 - Is this statement correct? The pressure of an...Ch. 13.3 - A gas mixture at 300 K and 200 kPa consists of 1...Ch. 13.3 - Prob. 29PCh. 13.3 - Separation units often use membranes, absorbers,...Ch. 13.3 - Prob. 31PCh. 13.3 - The mass fractions of a mixture of gases are 15...Ch. 13.3 - The volumetric analysis of a mixture of gases is...Ch. 13.3 - An engineer has proposed mixing extra oxygen with...Ch. 13.3 - A rigid tank contains 0.5 kmol of Ar and 2 kmol of...Ch. 13.3 - A mixture of gases consists of 0.9 kg of oxygen,...Ch. 13.3 - Prob. 37PCh. 13.3 - One pound-mass of a gas whose density is 0.001...Ch. 13.3 - A 30 percent (by mass) ethane and 70 percent...Ch. 13.3 - Prob. 40PCh. 13.3 - Prob. 41PCh. 13.3 - A rigid tank that contains 2 kg of N2 at 25C and...Ch. 13.3 - Prob. 43PCh. 13.3 - Prob. 44PCh. 13.3 - Prob. 45PCh. 13.3 - Is the total internal energy of an ideal-gas...Ch. 13.3 - Prob. 47PCh. 13.3 - Prob. 48PCh. 13.3 - Prob. 49PCh. 13.3 - Prob. 50PCh. 13.3 - The volumetric analysis of a mixture of gases is...Ch. 13.3 - A mixture of nitrogen and carbon dioxide has a...Ch. 13.3 - The mass fractions of a mixture of gases are 15...Ch. 13.3 - A mixture of gases consists of 0.1 kg of oxygen, 1...Ch. 13.3 - An insulated tank that contains 1 kg of O2at 15C...Ch. 13.3 - An insulated rigid tank is divided into two...Ch. 13.3 - Prob. 59PCh. 13.3 - A mixture of 65 percent N2 and 35 percent CO2...Ch. 13.3 - Prob. 62PCh. 13.3 - Prob. 63PCh. 13.3 - Prob. 66PCh. 13.3 - Prob. 67PCh. 13.3 - Prob. 68PCh. 13.3 - Prob. 69PCh. 13.3 - The gas passing through the turbine of a simple...Ch. 13.3 - Prob. 71PCh. 13.3 - A pistoncylinder device contains 6 kg of H2 and 21...Ch. 13.3 - Prob. 73PCh. 13.3 - Prob. 74PCh. 13.3 - Prob. 75PCh. 13.3 - Prob. 76PCh. 13.3 - Prob. 77PCh. 13.3 - Prob. 78PCh. 13.3 - Prob. 79PCh. 13.3 - Prob. 81PCh. 13.3 - Fresh water is obtained from seawater at a rate of...Ch. 13.3 - Is it possible for an adiabatic liquid-vapor...Ch. 13.3 - Prob. 84PCh. 13.3 - Prob. 85RPCh. 13.3 - The products of combustion of a hydrocarbon fuel...Ch. 13.3 - A mixture of gases is assembled by first filling...Ch. 13.3 - Prob. 90RPCh. 13.3 - Prob. 91RPCh. 13.3 - Prob. 92RPCh. 13.3 - A rigid tank contains a mixture of 4 kg of He and...Ch. 13.3 - A spring-loaded pistoncylinder device contains a...Ch. 13.3 - Prob. 95RPCh. 13.3 - Reconsider Prob. 1395. Calculate the total work...Ch. 13.3 - Prob. 97RPCh. 13.3 - Prob. 100RPCh. 13.3 - Prob. 101RPCh. 13.3 - Prob. 102FEPCh. 13.3 - An ideal-gas mixture whose apparent molar mass is...Ch. 13.3 - An ideal-gas mixture consists of 2 kmol of N2and 4...Ch. 13.3 - Prob. 105FEPCh. 13.3 - Prob. 106FEPCh. 13.3 - An ideal-gas mixture consists of 3 kg of Ar and 6...Ch. 13.3 - Prob. 108FEPCh. 13.3 - Prob. 109FEPCh. 13.3 - Prob. 110FEPCh. 13.3 - Prob. 111FEP
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- The isothermal compressibility, κT, of water at 293 K is 4.96 × 10−5 atm−1. Calculate the pressure that must be applied in order to increase its density by 0.10 per cent.arrow_forwardA 6-kg block of copper at 300 °C is submerged in 0.08 m3 of water at 0 °C contained in an insulated tank. Estimate the final equilibrium temperature. Conservation of energy requires that the energy lost by the copper block is gained by the water. Units are in Celsius.arrow_forwardCarbon dioxide and oxygen is placed each inside a 1 m^3 tank separated by an isolation valve. Initially, carbon dioxide has the following properties: P=20 kPag & T=25 degrees celsius and that oxygen has the following properties: P=30 kPag & T=75 degrees celsius. If heat is being prevented to escape in the outside surroundings, determine the resulting temperature of the mixture if it is found that after opening the isolation valve, the resulting presure on both tank if 25 kPag.arrow_forward
- Q4 Show that for a gas obeying van der Walls equation of state, 2a Cp – Cy = R + vTarrow_forwardA tank is filled with 2.5 kg water vapor at 150 bar and 350°C. Determine its volume (m3) using; Compressibility factor, Z from generalized compressibility chart steam table (can you provide the explanation too plz)arrow_forwardExplain the COMPRESSIBILITY FACTOR—A MEASURE OF DEVIATION FROM IDEAL-GAS BEHAVIORarrow_forward
- A piston- cylinder device contains 0.1m ^ 3 of liquid water and 0.9m ^ 3 of water vapor in equilibrium at 800 kPa. Heat is transferred at constant pressure until the temperature reaches 350 degrees * C . i. What is the initial temperature of the water? ii Determine the total mass of the water. iii. Calculate the final volume. iv. Show the process on a P-v diagram with respect to saturation linesarrow_forwardOnly handwritten solution is allowed so don't type.arrow_forwardOne mole of a gas is expanded isothermally at 300 Kelvins from 5.00 MegaPascal to 0.10 MegaPascal. If this gas obeys the equation of state given below and from this B is equal to 2.0 x10^4 L/(mol-K^2), answer the question that follow. Calculate the change in molar Gibbs free energy (in KJ/mole) for this process. Express answer in THREE SIGNIFICANT FIGURES.arrow_forward
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