(a) The BCC iron has a density of 7882 kg/m³ and the lattice parameter of 0.287 nm when hydrogen atoms are introduced at interstitial positions. Evaluate (i) the atomic fraction of hydrogen atoms (ii) the number of unit cells on average that contain hydrogen atoms (b) The strength values of a tungsten-tantalum alloy and its related properties are shown in the table below: Grain diameter (mm) Strength (MPa) 0.071 140 0.110 134 0.203 129 0.314 126 Determine (i) the constants in the Hall-Petch equation. (ii) the grain size required to obtain strength of 300 MPa.

Principles of Modern Chemistry
8th Edition
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Chapter22: Inorganic Materials
Section: Chapter Questions
Problem 9P
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(a) The BCC iron has a density of 7882 kg/m³ and the lattice parameter of 0.287 nm when
hydrogen atoms are introduced at interstitial positions. Evaluate
(i) the atomic fraction of hydrogen atoms
(ii) the number of unit cells on average that contain hydrogen atoms
(b) The strength values of a tungsten-tantalum alloy and its related properties are shown in the
table below:
Grain diameter (mm)
Strength (MPa)
0.071
140
0.110
134
0.203
129
0.314
126
Determine
(i) the constants in the Hall-Petch equation.
(ii) the grain size required to obtain strength of 300 MPa.
Transcribed Image Text:(a) The BCC iron has a density of 7882 kg/m³ and the lattice parameter of 0.287 nm when hydrogen atoms are introduced at interstitial positions. Evaluate (i) the atomic fraction of hydrogen atoms (ii) the number of unit cells on average that contain hydrogen atoms (b) The strength values of a tungsten-tantalum alloy and its related properties are shown in the table below: Grain diameter (mm) Strength (MPa) 0.071 140 0.110 134 0.203 129 0.314 126 Determine (i) the constants in the Hall-Petch equation. (ii) the grain size required to obtain strength of 300 MPa.
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