The density of copper metal is `8.95" g "cm^(-3)`. If the redius of copper atom be `127. 8` pm, is the copper unit cell simple cubic, body - centred or face- centred cubic ?
(Given : atomic mass of Cu = 63. 5 g/mol)

Explanation

To determine the type of unit cell for copper based on the given density and atomic radius, we can follow these steps:

### Step-by-Step Solution:

1. **Given Data:**
- Density of copper (D) = 8.95 g/cm³
- Radius of copper atom (r) = 127.8 pm = \(127.8 \times 10^{-12}\) m = \(127.8 \times 10^{-10}\) cm
- Atomic mass of copper (M) = 63.5 g/mol
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