A01_Metal_ceramic_Density_Calcs_shortened_F2023 (CUBES)

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Apr 3, 2024

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Last Name First Name Section Number Instructor Name McVeigh Aidan 2 LaGraff ENGR1600: Materials Science for Engineers Interactive Activity 01 Ceramic and Metal Density Calculations Objective : Theoretical density calculations for metals and ceramics. Due date : In approximately one week as PDF file on LMS. Check LMS for exact date. A) Identification of an unknown metal Procedure: Your group will be given a cube of and unknown metal (labeled A3-A6, B3-B6, C3-C6, or D3-D6) They are either Zn, Cu, Al, Pb, Fe, Zr, Rh. Use a pair of calipers to measure the cube dimensions. Calculate the density using the provided lattice parameter and crystal structure (FCC or BCC) (see below), then identify the types of metal from their calculated atomic masses. Assigned /selected unknown metal ID number C6 Unknown metal (crystal structure) Lattice parameter (nm) Mass (g) of unknown metals Cube edge lengths (cm) Density (g/cm3) Calculated Atomic mass (g/mol) Metal type Actual Atomic mass (g/mol) A3 (FCC) 0.4046 21.782 2.021*2.014* 1.999 2.677 26.694 Aluminu m 26.982 A4 (FCC) 0.4046 21.696 A5 (FCC) 0.4046 21.764 A6 (FCC) 0.4046 21.463 B3 (FCC) 0.3615 72.622 2.011*2.001* 2.033 8.877 63.14 Copper 63.55 B4 (FCC) 0.3615 71.243 B5 (FCC) 0.3615 71.116 B6 (FCC) 0.3615 71.646 C3 (BCC) 0.2866 60.678 2.013*2.031* 2.016 8.242 58.42 Nickel 58.693 C4 (BCC) 0.2866 60.907 C5 (BCC) 0.2866 60.570 C6 (BCC) 0.2866 60.360 2.011*2.013*2.015 7.40 52.453 Fe 55.845 D3 (FCC) 0.4920 90.539 2.004*2.013* 2.007 11.83 200.49 Mercury 200.592 D4 (FCC) 0.4920 90.533 D5 (FCC) 0.4920 91.308 D6 (FCC) 0.4920 89.245 Show your work. Justify your answer and explain any discrepancies: The differences between the calculated and actual values of the atomic mass is likely due to impurities in the C6 cube.
i) + B) Density of an ionic material - What crystal structure would you predict for NaF? r(Na ) = 0.102 nm and r(F ) = 0.133 nm? Body centered cubic crystal structure ii) Calculate the lattice parameter (nm) for NaF using the crystal structure you predicted in (i) iii) Calculate the theoretical density (g/cm^3) for NaF? Na + = 22.99 g/mol and F - = 19.00 g/mol iv) Look up the density of NaF. Does it agree with the answer you got in (iii)? Explain The actual density of NaF is 2.56 g/cm^3. The answer in (iii) is 3.543 g/cm^3. The measured and actual values differ by about 1.0. This could be because we are solving for if the atoms are as densely packed as possible. When in reality, there is most likely to be space in between.
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