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The density of KBr is 2.75g cm^(-3). The...

The density of KBr is 2.75g `cm^(-3)`. The length of the edge of the unit cell is 654 pm. Show that KBr has a face centred cubic structure.(`N_A=6.023xx10^(23) mol^(-)` at. mass : K=39, Br = 80]

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To determine whether KBr has a face-centered cubic (FCC) structure, we will calculate the number of formula units per unit cell (z) using the given density and edge length. Here are the steps to solve the problem: ### Step 1: Gather the given data - Density of KBr (d) = 2.75 g/cm³ - Length of the edge of the unit cell (a) = 654 pm = 654 × 10⁻¹⁰ cm - Molar mass of KBr = Molar mass of K (39 g/mol) + Molar mass of Br (80 g/mol) = 119 g/mol - Avogadro's number (N_A) = 6.023 × 10²³ mol⁻¹ ...
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