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An element of atomic mass 40 occurs in f...

An element of atomic mass 40 occurs in fcc structure with a cell edge of 540 pm. Calculate the Avogadro's number if density is `1.7gm//cm^(3)`.

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To calculate Avogadro's number (N_A) for the given element, we will use the relationship between density, atomic mass, and the structure of the crystal. Here's the step-by-step solution: ### Step 1: Understand the FCC Structure In a face-centered cubic (FCC) structure, there are 4 atoms per unit cell. Therefore, the value of Z (the number of atoms per unit cell) is 4. ### Step 2: Convert the Cell Edge Length The edge length of the unit cell is given as 540 pm (picometers). We need to convert this to centimeters for consistency with the density units: \[ ...
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