Silver crystallises in a face centred cubic lattice with all the atoms at the lattice points. The length of the edge of the unit cell as determined by X-ray diffraction studies is found to be `4.077xx10^(-8)`cm. The density of silver is `10.5"g cm"^(-3)`. Calculate the atomic mass of silver.

Explanation

To calculate the atomic mass of silver, we will use the formula for density and the properties of the face-centered cubic (FCC) lattice structure. Here’s the step-by-step solution:

### Step 1: Understand the FCC structure
In a face-centered cubic (FCC) lattice, there are 4 atoms per unit cell. This is denoted by \( Z = 4 \).

### Step 2: Write the formula for density
The formula for density \( D \) is given by:
\[
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