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Potassium crystallizes in "body centred cubic" arrangement and the surfaces of adjacent atom along the edges of unit cells are 71.4 picometre apart. Determine the density of metal. Atomic weight of K = 39. |
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Answer» Solution :In BCC, the relationship between edge LENGTH and radius of atom is `4r=SQRT(3)a` Also,gicen `a-2r=71.4xx10^(-10) cm` `IMPLIES`"" a-(sqrt(3))/(2)a=a[(2-sqrt(3))/(2)]` `=71.4xx10^(-10)cm` `implies ""a=5.329xx10^(-10) cm` `impliesDensity (rho)=(2xx39)/(6.023xx10^(23)(5.329xx10^(-8))^(3))` `=0.855 g/cm^(3)` |
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