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NEET 2022
Exam
NEET
Year
2022
Subject
Chemistry
Chapter
Solid State

NEET 2022 · Chemistry · Solid State

Copper crystallizes in an FCC unit cell with cell edge of 3 .608 ×...

Copper crystallizes in an FCC unit cell with cell edge of 3.608×10−8cm.3 .608 \times {10}^{- 8}cm . The density of copper is 8.92g/cm38 . 92g / {cm}^{3}, Calculate the atomic mass of copper.

Options

  1. A63.1u63 . 1u
  2. B65u65u
  3. C60u60u
  4. D31.55u31 . 55u

Correct answer

A. 63.1u63 . 1u

Step-by-step solution

The number of effective atoms in a FCC unit cell, Z=4atomsZ = 4atoms

M=d×N0×a3ZM = \dfrac{d \times {N}_{0} \times {a}^{3}}{Z}

Where,

MM is atomic mass of copper

dd is density of copper= 8.92g/cm3,8 . 92g / c{m}^{3},

N0{N}_{0} is the Avogadro number =6.022×1023mol−1= 6 .022 \times {10}^{23}{mol}^{- 1}
aa is the edge length =3.608×10−8cm= 3.608 \times {10}^{- 8}\text{cm}

Substituting the values in the formula,

⇒M=8.92g/cm3×6.022×1023atom/mol×(3.608×10−8cm)34atoms⇒ M = \dfrac{8 .92 g / {cm}^{3} \times 6 .022 \times {10}^{23}atom / mol \times {( 3 .608 \times {10}^{- 8}cm )}^{3}}{4atoms}

⇒M=63.1g/mol⇒ M = 63 .1 g / mol

Atomic mass of copper =63.1u= 63 .1 u

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