Thermodynamics: An Engineering Approach
9th Edition
ISBN: 9781259822674
Author: Yunus A. Cengel Dr., Michael A. Boles
Publisher: McGraw-Hill Education
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Chapter 16.6, Problem 62P
Using the Henry’s constant data for a gas dissolved in a liquid, explain how you would determine the mole fraction of the gas dissolved in the liquid at the interface at a specified temperature.
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A plate of iron is exposed to a carburizing atmosphere on one side and a decarburizing atmosphere on the other side at 850 oC. If a condition of steady state is achieved, calculate the diffusion flux of carbon through the plate if the concentrations of carbon at positions of 5 and 10 mm beneath the carburizing surface are 1.4 and 0.8 kg/m3, respectively. Assume a diffusion coefficient of 3 x 10 -11 m2/s at this temperature.
Nitrogen from a gaseous phase is to be diffused into pure iron at 700°C. If the surface concentration is maintained at 0.14 wt% N, what
will be the concentration (in weight percent) 2.3 mm from the surface after 6.5 h? The diffusion coefficient for nitrogen in iron at
700°C is 1.4 x 10-10 m²/s.
Z
0.00
0.025 0.0282 0.60
0.05 0.0564
0.30
erf(z)
0.0000 0.55
0.35
Z erf(z)
0.40
0.45
0.50
0.65
0.10 0.1125 0.70 0.6778 1.6
0.5633 1.3
0.6039
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Z
0.15 0.1680 0.75 0.7112
0.20 0.2227 0.80 0.7421 1.8
0.25 0.2763 0.85 0.7707 1.9 0.9928
0.3286 0.90 0.7970
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0.6420 1.5
1.4
0.3794 0.95 0.8209 2.2
0.4284 1.0
1.7
0.9103
2.0
erf(z)
0.9340
0.9523
0.9661
2.8
0.9763
0.9838
0.9891
0.9953
0.8427 2.4 0.9993
0.9981
0.8802 2.6 0.9998
0.9999
You want to carburize a steel drill bit in the presence of methane. The drill bit initially has a uniform carbon concentration of 0.25 wt% and is to be treated at 950 oC (1750 oF). If the concentration of carbon at the surface is suddenly brought to and maintained at 1.20 wt%, how long will it take to achieve a carbon content of 0.80 wt% at a position 0.5mm below the surface? (The diffusion coefficient for carbon in iron at this temperature is 1.6 x 10-11 m2/s.)
Chapter 16 Solutions
Thermodynamics: An Engineering Approach
Ch. 16.6 - Why is the criterion for chemical equilibrium...Ch. 16.6 - Write three different KPrelations for reacting...Ch. 16.6 - Is a wooden table in chemical equilibrium with the...Ch. 16.6 - A reaction chamber contains a mixture of CO2, CO,...Ch. 16.6 - A reaction chamber contains a mixture of N2and N...Ch. 16.6 - A reaction chamber contains a mixture of CO2, CO,...Ch. 16.6 - Which element is more likely to dissociate into...Ch. 16.6 - Prob. 8PCh. 16.6 - Prob. 9PCh. 16.6 - Prob. 10P
Ch. 16.6 - Prob. 11PCh. 16.6 - Prob. 12PCh. 16.6 - Prob. 13PCh. 16.6 - Prob. 14PCh. 16.6 - Prob. 15PCh. 16.6 - Prob. 16PCh. 16.6 - Prob. 17PCh. 16.6 - Prob. 18PCh. 16.6 - Prob. 19PCh. 16.6 - Prob. 20PCh. 16.6 - Prob. 21PCh. 16.6 - Prob. 22PCh. 16.6 - Prob. 23PCh. 16.6 - Determine the equilibrium constant KP for the...Ch. 16.6 - Prob. 26PCh. 16.6 - Prob. 27PCh. 16.6 - Carbon monoxide is burned with 100 percent excess...Ch. 16.6 - Prob. 30PCh. 16.6 - Prob. 31PCh. 16.6 - Estimate KP for the following equilibrium reaction...Ch. 16.6 - Prob. 33PCh. 16.6 - A mixture of 3 mol of N2, 1 mol of O2, and 0.1 mol...Ch. 16.6 - Prob. 35PCh. 16.6 - Prob. 36PCh. 16.6 - Prob. 37PCh. 16.6 - Prob. 38PCh. 16.6 - Prob. 40PCh. 16.6 - What is the equilibrium criterion for systems that...Ch. 16.6 - Prob. 43PCh. 16.6 - Prob. 44PCh. 16.6 - Prob. 45PCh. 16.6 - Prob. 47PCh. 16.6 - Prob. 48PCh. 16.6 - Prob. 51PCh. 16.6 - Prob. 52PCh. 16.6 - Prob. 53PCh. 16.6 - Prob. 54PCh. 16.6 - Prob. 55PCh. 16.6 - Prob. 56PCh. 16.6 - Prob. 58PCh. 16.6 - Prob. 59PCh. 16.6 - Prob. 60PCh. 16.6 - Prob. 61PCh. 16.6 - Using the Henrys constant data for a gas dissolved...Ch. 16.6 - Prob. 63PCh. 16.6 - Prob. 64PCh. 16.6 - Prob. 65PCh. 16.6 - Prob. 66PCh. 16.6 - A liquid-vapor mixture of refrigerant-134a is at...Ch. 16.6 - Prob. 68PCh. 16.6 - Prob. 69PCh. 16.6 - An oxygennitrogen mixture consists of 30 kg of...Ch. 16.6 - Prob. 71PCh. 16.6 - Prob. 72PCh. 16.6 - Prob. 73PCh. 16.6 - Prob. 74PCh. 16.6 - Prob. 75PCh. 16.6 - Prob. 76PCh. 16.6 - An ammoniawater absorption refrigeration unit...Ch. 16.6 - Prob. 78PCh. 16.6 - Prob. 79PCh. 16.6 - Prob. 80PCh. 16.6 - One lbmol of refrigerant-134a is mixed with 1...Ch. 16.6 - Prob. 82RPCh. 16.6 - Prob. 83RPCh. 16.6 - Prob. 84RPCh. 16.6 - Prob. 85RPCh. 16.6 - Prob. 88RPCh. 16.6 - Prob. 89RPCh. 16.6 - Prob. 90RPCh. 16.6 - Prob. 91RPCh. 16.6 - Prob. 92RPCh. 16.6 - A constant-volume tank contains a mixture of 1 mol...Ch. 16.6 - Prob. 94RPCh. 16.6 - Prob. 95RPCh. 16.6 - Prob. 96RPCh. 16.6 - Prob. 97RPCh. 16.6 - Prob. 99RPCh. 16.6 - Consider a glass of water in a room at 25C and 100...Ch. 16.6 - Prob. 101RPCh. 16.6 - Prob. 102RPCh. 16.6 - Prob. 105RPCh. 16.6 - Prob. 106RPCh. 16.6 - Prob. 107RPCh. 16.6 - Prob. 108RPCh. 16.6 - Prob. 109FEPCh. 16.6 - Prob. 110FEPCh. 16.6 - Prob. 111FEPCh. 16.6 - Prob. 112FEPCh. 16.6 - Prob. 113FEPCh. 16.6 - Prob. 114FEPCh. 16.6 - Propane C3H8 is burned with air, and the...Ch. 16.6 - Prob. 116FEPCh. 16.6 - Prob. 117FEPCh. 16.6 - The solubility of nitrogen gas in rubber at 25C is...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- Question 8 A sheet of steel 3 mm thick is exposed on one side to a nitrogen-rich atmosphere at 1200°C and is permitted to achieve a steady-state diffusion condition. It is known that from the high- pressure nitrogen-rich side, the concentration of nitrogen on the steel surface is 6 kg/m³. The diffusion coefficient for nitrogen in steel at this temperature is 5x10-11 m²/s, and the diffusion flux is found to be 1.6 x 107 kg/m² s. How far into the sheet from this high-pressure side will the concentration be 2.0 kg/m³? Assume a linear concentration profile. The Fick's first law is given by the equation: dC J = - D dxarrow_forwardA mechanism for hardening steel is called carburization. To achieve this process, the piece of steel is exposed to an atmosphere rich in hydrocarbon such as methane (CH4). Consider a steel with a carbide concentration of 0.25wt%, which must be treated at 950˚C. If the carbon concentration at the surface is suddenly increased to 1.20wt%, how long does it take for a penetration of 0.5mm from the surface to reach a concentration of 0.80wt%? . The diffusion coefficient for carbon in iron at this temperature is 1.6 x 10-11 m2s-1. Assume that the piece of steel is semi-finite. Use the table below.arrow_forwardQUESTION 7 .An experiment is conducted to determine the variation of the diffusion coefficient as a function of temperature when carbon is diffused into BCC iron. The diffusion coefficient is measured at two different temperatures and is given by: Temp (°C) D (m2/s) 100 6.2 x 10-12 542 3.1 x 10-10 Calculate a value for the activation energy Qd (eV/atom) based on the experimental data?arrow_forward
- (c) A 1020 steel gear is carburized at 927°C and gives the surface carbon concentration maintained at 1.2 wt%. After 8 hours, the concentration of carbon is 0.4 wt%. Note: D (C in y iron) at 927°C = 1.28 × 10*1" m²/s. Determine the depth of the carbon diffuse to the gear steel after 8 hours. (d) State the importance of case hardening in gear steel components in the steel metal industry.arrow_forwardFind the diffusitivity of air in methane and the molecular diffusion of methane, if the tank filled with a mixture of methane and air at 102 kPa and 25 ⁰C is connected to another large tank filled with a different composition of methane and air also at 102 kPa and 25 ⁰C. The connection between the tanks is a tube with an inner diameter of 50 mm and length of 150 mm. The concentration of methane in one tank is 90% by mole and in the other, 5% by mole.arrow_forwardA sample containing 1.0 mole of oxygen gas initially at 45 degrees Celsius is heated to 110 degrees Celsius under isobaric conditions. Assuming that the accurate Cp value for oxygen gas can be obtained from the relationship given below, what would be the sample's new change in enthalpy (in KiloJoules)? Write the answer in THREE SIGNIFICANT FIGURESarrow_forward
- Exhaust gas from an automobile contains air and 10-4 mole fractions of NO in air at 25 degC and 1.2 atm. Express this concentration as a mass concentration (kg/m3). Remember that the MW of NO is 30 g/molarrow_forwardDiffusion of carbon into BCC iron for 12 hours at a temperature of 500 °C results in a carbon concentration of 0.2 wt% at a depth 2 mm from the surface. How long would it take to get a concentration of 0.2 wt% at a depth 3 mm from the surface at 500 °C?arrow_forward6. Exhaust gas from an automobile contains air and 105 mole fractions of CO in air at 25 degC and 1.2 atm. Express this concentration as a mass concentration (kg/m³).arrow_forward
- An FCC iron-carbon alloy initially containing 0.20 wt% C is carburized at an elevated temperature and in an atmosphere that gives a surface carbon concentration constant at 1.0 wt%. If after 49.5 h, the concentration of carbon is 0.35 wt% at a position 4.0 mm below the surface, determine the temperature at which the treatment was carried out.arrow_forward6. A sheet of steel 1.5 mm thick has nitrogen atmospheres on both sides at 1200C and is permitted to achieve a steady-state diffusion condition. The diffusion coefficient for nitrogen in steel at this temperature is 6 10-11 m2/s, and the diffusion flux is found to be 1.2 10-7 kg/m2-s. Also, it is known that the concentration of nitrogen in the steel at the high-pressure surface is 4 kg/m3. How far into the sheet from this high-pressure side will the concentration be 2.0 kg/m3? Assume a linear concentration profile.arrow_forwardAn FCC iron-carbon alloy initially containing 0.15 wt% C is carburized at an elevated temperature and in an atmosphere wherein the surface carbon concentration is maintained at 1.0 wt% C. If after 49.5 h the concentration of carbon is 0.35 wt% C at a position 4.0 mm below the surface, determine the temperature in degree Celsius (°C) at which the treatment was carried out. O 1303 C 1094 C 1050 C 1388 C O 1022 C O 1700 Carrow_forward
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