Question:

Experimentally it was found that a metal oxide has formula $ M_{0.98}O. $ Metal $M$, present as $ M^{2+} $ and $ M^{3+} $ in its oxide.Fraction of the metal which exists as $ M^{3+} $ would be

Updated On: Aug 19, 2024
  • $ 7.01 \% $
  • $ 4.08 \% $
  • $ 6.05 \% $
  • $ 5.08 \% $
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The Correct Option is B

Solution and Explanation

Let the fraction of metal which exists as $M^{3+}$ be $x$.

Then the fraction of metal as $M^{2+} = (0.98 - x)$
$\therefore 3x + 2(0.98 -x ) = 2$
$x + 1.96 =2$
$x = 0.04$
$\therefore \%$ of $M^{3+}=\frac{0.04}{0.98}\times 100$
$=4.08\%$
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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.