Lead metal has a density of 11.34 g//cm^(3) and crystallizes in a face-centered lattice. Choose the correct alternatives

Lead metal has a density of 11.34 g//cm^(3) and crystallizes in a face

1.	Lead metal has a density of 11.34 g//cm^(3) and crystallizes in a face-centered lattice. Choose the correct alternatives
Answer» the volume of one UNIT cell is `1.214 xx 10^(-22) cm^(3)` the volume of one unit cell is `1.214 xx 10^(-19) cm^(3)` the ATOMIC radius of lead is 175 pm the atomic radius of lead is 155.1 pm Solution :Density `= (Z xx M)/(N_(A) xx "volume")` ltrbgt so, Volume `= (4 xx 207)/(6.02 xx 10^(23) xx 11.34) = 1.213 xx 10^(-22) cm^(3), 4R = asqrt2` `r = (4.95 xx 10^(-8) xx sqrt2)/(4) = 175 pm` Volume `= a^(3) = 1.213 xx 10^(-22)` ltrbgt So, `a = (1.213 xx 10^(-24))^(1//3) RARR a = 4.95 xx 10^(-8) cm`