Question:

A compound is formed by two elements $Y$ and $Z$. The element $Z$ forms $ccp$ and atoms $Y$ occupy $1/3\, rd$ of tetrahedral voids. The formula of the compound is

Updated On: Jul 5, 2022
  • $Y_2Z_3$
  • $YZ$
  • $YZ_3$
  • $Y_2Z$
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The Correct Option is A

Solution and Explanation

Suppose no. of atoms of $Z=a$ No. of tetrahedral voids $= 2a$ No. of atoms of $Y=\frac{1}{3}\times2a=\frac{2a}{3}$ Ratio of atoms of $y$ and $Z =\frac{2a}{3} : a=2 : 3$ Hence, the formula of the compound $= Y_2Z_3$
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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.