Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 5.7, Problem 18AAP
A gear made of 1020 steel (0.20 wt% C) is to be gas-carburized at 927°C (1700°F). Calculate the carbon content at 0.040 in. below the surface of the gear after a 7.0-h carburizing time. Assume the carbon content at the surface of the gear is 1.15 wt%. D (C in γ iron) at 927°C = 1.28 × 10−11 m2/s.
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Chapter 5 Solutions
Foundations of Materials Science and Engineering
Ch. 5.7 - Prob. 1KCPCh. 5.7 - Write an equation for the number of vacancies...Ch. 5.7 - Prob. 3KCPCh. 5.7 - Prob. 4KCPCh. 5.7 - Describe the substitutional and interstitial...Ch. 5.7 - Prob. 6KCPCh. 5.7 - What factors affect the diffusion rate in solid...Ch. 5.7 - Write the equation for Ficks second law of...Ch. 5.7 - Prob. 9KCPCh. 5.7 - Prob. 10KCP
Ch. 5.7 - (a) Calculate the equilibrium concentration of...Ch. 5.7 - Prob. 12AAPCh. 5.7 - Determine the diffusion flux of zinc atoms in a...Ch. 5.7 - The diffusion flux of copper solute atoms in...Ch. 5.7 - Prob. 15AAPCh. 5.7 - Prob. 16AAPCh. 5.7 - Prob. 17AAPCh. 5.7 - A gear made of 1020 steel (0.20 wt% C) is to be...Ch. 5.7 - Prob. 19AAPCh. 5.7 - The surface of a steel gear made of 1020 steel...Ch. 5.7 - Prob. 21AAPCh. 5.7 - If boron is diffused into a thick slice of silicon...Ch. 5.7 - Prob. 23AAPCh. 5.7 - Prob. 24AAPCh. 5.7 - Prob. 25AAPCh. 5.7 - Prob. 26AAPCh. 5.7 - Prob. 27AAPCh. 5.7 - Prob. 28AAPCh. 5.7 - Prob. 29AAPCh. 5.7 - Prob. 30AAPCh. 5.7 - The diffusivity of copper atoms in the aluminum...Ch. 5.7 - Prob. 32AAPCh. 5.7 - Prob. 33SEPCh. 5.7 - Prob. 34SEPCh. 5.7 - Prob. 37SEPCh. 5.7 - Prob. 38SEPCh. 5.7 - The activation energy of nickel atoms in FCC iron...Ch. 5.7 - Prob. 40SEPCh. 5.7 - The self-diffusion of iron atoms in BCC iron is...Ch. 5.7 - Would you expect the diffusion rate of copper...Ch. 5.7 - Would you expect the diffusion rate of copper...Ch. 5.7 - Prob. 44SEPCh. 5.7 - Prob. 45SEPCh. 5.7 - Prob. 46SEPCh. 5.7 - Prob. 47SEPCh. 5.7 - Prob. 48SEPCh. 5.7 - Prob. 49SEPCh. 5.7 - Prob. 50SEP
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- Compare the diffusion coefficients of carbon in BCC and FCC iron at the allotropic transformation temperature of 912°C and explain the reason for the difference in their values.arrow_forwardIn the carburization treatment of steels, what are the diffusing species?arrow_forwardAt approximately what temperature (Kelvin) would a sample of an alloy have to be carburized for 1.8 hours to produce the same diffusion result as at 900 C for 13 hours. Assume that Do = 3.6 x 10^-5 m^2/s and Qd = 160 kj/mol.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_forwardAn FCC iron–carbon alloy initially containing 0.25wt% C is carburized at an elevated temperature and in an atmosphere wherein thesurface carbon concentration is maintained at 1.0 wt%. If after 55.0 h the concentrationof carbon is 0.35 wt% at a position 5.0 mm below the surface, determine thetemperature at which the treatment was carried out.arrow_forwardIn a binary Fe-Fe3C system, what is the transformation that occurs when cooling an austenistic mixture of 2% C by weight from 1100°C to below the eutectoid temperature? What is the microstructure, and how is it formed? What are the concentrations of the total and partial phases? Data: eutectoid temperature: 723 ºC, eutectoid concentration: 0.76% C, limit concentration of ferrite: 0.022%, limit concentration of cementite: 6.7%.arrow_forward
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- For a steel alloy it has been determined that a carburizing heat treatment of 11.3 h duration will raise the carbon concentration to 0.34 wt% at a point 1.0 mm from the surface. Estimate the time necessary to achieve the same concentration at a 5.0 mm position for an identical steel and at the same carburizing temperature. t = ______ harrow_forward1. You have ice at 263 K (-10.0 °C) and 1.0 atm. Whatvcould you do to make the ice sublime? 2. A sample of dry ice (solid CO2) is cooled to 173 K (-100.0 °C), and is set on a table at room temperature (298 K; 25 °C). At what temperature is the rate of sublimation and deposition the same (assume that pressure is held constant at 1 atm)?arrow_forward1. 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. 2. Consider a metal single-crystal oriented such that the normal to the slip plane and the slip direction are at angles of 60° and 35°, respectively, with the tensile axis. If the critical resolved shear stress is 20.7 MPa, will an applied stress of 45 MPa cause the single crystal to yield? If not, what stress will be necessary?arrow_forward
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