Question:

A cubic solid is made up of two elements $X$ and $Y$ Atoms of $X$ are present on every alternate corner and one at the center of cube $Y$ is at $\frac{1}{3} rd$ of the total faces. The empirical formula of the compound is

Updated On: Jul 13, 2024
  • $X _2 Y _{1.5}$
  • $X_{3} Y_2$ 

  • $XY _{2, 5}$
  • $X _{1.5} Y _2$
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The Correct Option is B

Solution and Explanation

Number of X particles  = \(4 \times \frac1{8} +1 = 1.5\)

Number of Y particles  = \(6 \times \frac1{3} \times \frac1{2} = 1\)

∴ ∴  Empirical formula  = \(X_{1.5} Y_1 = X_{3} Y_2\)

So, the correct option is (B) : \(X_{3} Y_2\)

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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.