For a metal matrix of TiC fibers in a W-25 wt% Mo matrix, determine the followin

Question

For a metal matrix of TiC fibers in a W-25 wt% Mo matrix, determine the following.

1.) Calculate the density of TiC, which forms the rock salt (NaCl) structure with a lattice parameter of 4.328 Å.

2.) Calculate the density of a solid solution of W-25 wt% Mo. The solution is BCC with r_ave = Xw*rw + X_mor_mo, where X_W and X)_Mo are the ATOMIC fractions of W and Mo, respectively. The atomic radii of W and Mo are 1.37 Å and 1.45 Å, respectively.

3.) Calculate the VOLUME percent TiC in the composite if the MASS % TiC is 20 wt%.

Explanation / Answer

(a)   mol wt of TiC = 60 g/mol

      mol wt of Mo =   96 g/mol

      density   = (60+96) / (6.023*10^23 * 4.328^3 * 10^-30)   = 3.1948 g/cm^3

(b)   r_ave = 0.25 * 1.37 + 0.75 * 1.45 = 1.43 Angstrom

       density   = (60+96) / (6.023*10^23 * 1.43^3 * 10^-30)   = 88.57 g/cm^3

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