Assume a substance X has a body centered cubic lattice. The edge length is 379.0 pm. The atomic mass of X is 195.0 amu What is the density o

Assume a substance X has a body centered cubic lattice. The edge length is 379.0 pm. The atomic mass of X is 195.0 amu What is the density of Xin g/cc

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  1. Answer:

    [tex]\rho=12g/cm^3[/tex]

    Explanation:

    From the question we are told that:

    Length[tex]l=379.0pm=>379*10^{-10}cm[/tex]

    Atomic mass of X [tex]M= 195.0 amu=>gmol^{-1}[/tex]

    Where

    [tex]Avogadro\ constant = 6.023 * 10^{23} mol-1[/tex]

    Let

    The Number of units in BCC unit cell [tex]n= 2[/tex]

    Generally the equation for Density is mathematically given by

    [tex]\rho= \frac{M x n}{l^3*Avogadro constant}[/tex]

    [tex]\rho=\frac{197 x 2}{(379*10^{-10})^3*6.023 x 10^{23}}[/tex]

    [tex]\rho=12g/cm^3[/tex]

    Therefore he density of Xin g/cc

    [tex]\rho=12g/cm^3[/tex]

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