Question:

A solid is made of two elements $X$ and $Z$. The atoms $Z$ are in $ccp$ arrangement while atoms $X$ occupy all the tetrahedral sites. What is the formula of the compound ?

Updated On: Jul 6, 2022
  • $XZ$
  • $XZ_2$
  • $X_2Z$
  • Unpredictable
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The Correct Option is C

Solution and Explanation

Let the number of atoms $Z$ in the CCP arrangement = $100$ Thus the number of tetrahedral sites = $200$ Since all the tetrahedral sites are occupied by atoms $X$, the number of atoms $X = 200$ Hence ratio of $X : Z = 2 : 1$ Thus the formula is $X_2Z$
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Notes on The solid state

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.