Question:

Lithium has a $bcc$ structure. Its density is $530 \, kg \, m^{-3}$ and its atomic mass is $6.94 \, g \, mol^{-1}$. Calculate the edge length of a unit cell of Lithium metal. ($NA = 6.02 \times 10^{23} \, mol^{-1}$)

Updated On: Apr 14, 2024
  • 352 pm
  • 527 pm
  • 264 pm
  • 154 pm
Hide Solution
collegedunia
Verified By Collegedunia

The Correct Option is A

Solution and Explanation

For BCC $d =\frac{Z\times M}{N_{A} \times a^{3}} $ $ 530 = \frac{2 \times6.94 \times10^{-3} }{6.02 \times10^{23} \times a^{3}} $ $ a^{3} = \frac{2 \times694}{530 \times6.23 \times10^{28}} $ $ a^{3} = 0.435 \times10^{-28} m $ $ =43.5 \times10^{-30} m $ $ = 43500000 pm $ $ \therefore a = 352 pm $
Was this answer helpful?
0
0

Questions Asked in NEET exam

View More Questions

Concepts Used:

Solid State

Solids are substances that are featured by a definite shape, volume, and high density. In the solid-state, the composed particles are arranged in several manners. Solid-state, in simple terms, means "no moving parts." Thus solid-state electronic devices are the ones inclusive of solid components that don’t change their position. Solid is a state of matter where the composed particles are arranged close to each other. The composed particles can be either atoms, molecules, or ions. 

Solid State

Types of Solids:

Based on the nature of the order that is present in the arrangement of their constituent particles solids can be divided into two types;

  • Amorphous solids behave the same as super cool liquids due to the arrangement of constituent particles in short-range order. They are isotropic and have a broad melting point (range is about greater than 5°C).
  • Crystalline solids have a fixed shape and the constituent particles are arranged in a long-range order.