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The compound CuCl has Zns structure. Its...

The compound CuCl has Zns structure. Its density is 3.4 g `cm^(-3)`. What is the length of the edge of the unit cell ?

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Cucl has cubic close packed or face centred cubic structure like ZnS. The number of formula units or molecules of CuCl per unit cell = 4.
Let length of each edge = a cm
`:. ` Volume of the cube = `a^3 cm^3`
Density of the cell = `3.4 g cm^(-3)`
Formula mass of `CuCl, M = 63.5 + 35.5 = 99`
Density `rho = (Z xx M)/(a^3 xx N_A)`
`3.4 g cm^(-3) = (4 xx (99 g mol^(-1)))/(a^3 xx (6.022 xx 10^(23) mol^(-1)))`
or `" " a^3 = (4 xx (99 g mol^(-1)))/((3.4 g cm^(-3)) xx (6.022 xx 10^(23) mol^(-1)))`
`= 193.4 xx 10^(-24) cm^(3)`
`:. " " a = 5.78 xx 10^(-8) cm " or " 578 p m.`
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