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An element having a density 11.2"g cm"^(...

An element having a density `11.2"g cm"^(-3)` forms a fcc lattice with edge of `4xx10^(-3)` cm. Calculate the atomic mass of the element.

Text Solution

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Given ` f = 112 g cm^(-3)`
`Z = 4 `
`a = 4 xx 10^(-8) cm `
`a^3 = 64 xx 10^(-24) cm`
M = ?
`rho = (Z xxM)/(a^3 xx Na) rArr M = (a^3 xx Na xx rho)/(z)`
`M = (64 xx 10^(-24) xx 6.22 xx 10^23 xx 11.2)/4 = 107.9g`
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