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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Aluminium crystallises in a cubic close-packed structure with a unit cell edge length of 353.6 pm. What is the radius of Al atom? How many unit cells are there in 1.00 cm3 of Al? - Chemistry

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प्रश्न

Aluminium crystallises in a cubic close-packed structure with a unit cell edge length of 353.6 pm. What is the radius of Al atom? How many unit cells are there in 1.00 cm3 of Al?

बेरीज
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उत्तर

Using the formula (i),

r = 0.3535 a

∴ r = 0.3535 × 353.6 = 125 pm

Using the formula (ii),

Number of unit cells in volume (V) of metal = `"V"/"a"^3`

∴ Number of unit cells in 1.00 cm3 of Al = `1.00/(3.536 xx 10^-8)^3`

= 2.26 × 1022

  1. Radius of Al atom (r) is 125 pm.
  2. Number of unit cells in 1.00 cm3 of Al is 2.26 × 1022.
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