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For decolourization of one mole of \(\mathrm{KMnO}_{4}\) the number of moles of \(\mathrm{H}_{2} \mathrm{O}_{2}\) required are (a) \(1 / 2\) (b) \(3 / 2\) (c) \(5 / 2\) (d) \(7 / 2\)

Short Answer

Expert verified
The correct answer is (c) \(5/2\) moles of \(\mathrm{H}_2\mathrm{O}_2\) are required.

Step by step solution

01

Identify the Reaction

The decolourization of potassium permanganate (KMnO_4) occurs in acidic medium and involves the conversion of MnO_4^- ions to Mn^{2+} ions by hydrogen peroxide (H_2O_2), a reducing agent.
02

Write the Balanced Equation

The balanced chemical equation for the reaction in acidic medium is: \[ 2 \mathrm{KMnO}_{4} + 5 \mathrm{H}_{2} \mathrm{O}_{2} + 6\mathrm{H}^+ \rightarrow 2 \mathrm{Mn}^{2+} + 5\mathrm{O}_{2} + 8\mathrm{H}_{2}\mathrm{O} \] This shows that 5 moles of H_2O_2 reduce 2 moles of \mathrm{KMnO}_{4}.
03

Calculate the Moles Required

According to the balanced equation, to decolourize 1 mole of \mathrm{KMnO}_4, half of the amount of H_2O_2 is needed compared to when 2 moles of \mathrm{KMnO}_{4} are involved. Therefore, \[ \text{For 1 mole of } \mathrm{KMnO}_{4}: \quad \frac{5}{2} \text{ moles of } \mathrm{H}_{2} \mathrm{O}_{2} \text{ are required.} \]

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Redox reactions
Redox reactions are a type of chemical process where oxidation and reduction occur simultaneously. In a redox reaction, one substance loses electrons (oxidation) while another gains electrons (reduction). This type of reaction is essential in many biochemical and industrial processes.
  • **Oxidation:** A substance loses electrons, increasing its oxidation state.
  • **Reduction:** A substance gains electrons, decreasing its oxidation state.
In the decolourization of potassium permanganate ( KMnO鈧) by hydrogen peroxide (H鈧侽鈧), the permanganate ions ( MnO鈧勨伝) act as the oxidizing agent and are reduced to manganese ions ( Mn虏鈦). Meanwhile, hydrogen peroxide serves as the reducing agent and, in the process, loses electrons.
Balanced chemical equation
A balanced chemical equation is crucial for accurately representing a chemical reaction. It ensures that the number of atoms for each element is the same on both sides of the equation. This is a fundamental principle based on the law of conservation of mass.
By balancing chemical equations, we can understand the stoichiometry of the reaction, which shows the exact proportions of reactants and products.
When examining the reaction between potassium permanganate and hydrogen peroxide, the balanced equation is: \[ 2 \mathrm{KMnO}_{4} + 5 \mathrm{H}_{2} \mathrm{O}_{2} + 6\mathrm{H}^{+} \rightarrow 2 \mathrm{Mn}^{2+} + 5\mathrm{O}_{2} + 8\mathrm{H}_{2}\mathrm{O} \]
This equation indicates that 5 moles of H鈧侽鈧 are necessary to fully react with 2 moles of KMnO鈧 under acidic conditions.
Chemical reaction stoichiometry
Stoichiometry involves using relationships derived from balanced chemical equations to calculate the quantities of reactants and products in a chemical reaction. It helps in predicting how much of each component is needed or produced.
To solve stoichiometric problems, you can follow these steps:
  • Write a balanced chemical equation for the reaction.
  • Convert known quantities of substances to moles.
  • Use the balanced equation to set up mole ratios.
  • Use mole ratios to calculate the desired quantities.
In the exercise example, the stoichiometry of the reaction reveals that to decolourize 1 mole of KMnO鈧, you need \( \frac{5}{2} \) moles of H鈧侽鈧. This calculation is pivotal for understanding how different quantities of reactants interact in the reaction.

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Most popular questions from this chapter

Very pure hydrogen \((99.9 \%)\) can be made by which of the following proceses? (a) Reaction of methane with steam (b) Reaction of salt like hydrides with water (c) Electrolysis of water (d) Mixing natural hydrocarbons of high molecular weight

\(\mathrm{NH}_{4} \mathrm{Cl}(\mathrm{s})\) is heated in a test tube. Vapours are brought in contact with red litmus paper, which changes to blue and then to red. It is because of (a) formation of \(\mathrm{NH}_{3}\) and \(\mathrm{HCl}\) (b) formation of \(\mathrm{NH}_{4} \mathrm{OH}\) and \(\mathrm{HCl}\) (c) greater diffusion of \(\mathrm{HCl}\) than \(\mathrm{NH}_{3}\) (d) greater diffusion of \(\mathrm{NH}_{3}\) than \(\mathrm{HCl}\)

Consider the following reactions: (1) \(\mathrm{H}_{2} \mathrm{O}_{2}+2 \mathrm{HX} \longrightarrow \mathrm{X}_{2}+2 \mathrm{H}_{2} \mathrm{O}\) (2) \(\mathrm{H}_{2} \mathrm{O}_{2}+\mathrm{O}_{3} \longrightarrow 2 \mathrm{O}_{2}+\mathrm{H}_{2} \mathrm{O}\) Here, hydrogen peroxide acts as (a) an oxidizing agent in both (1) and (2) (b) an oxidizing agent in (2) and reducing agent in (1) (c) an oxidizing agent in (1) and a reducing agent in (2) (d) a reducing agent in both (1) and (2)

It is possible to obtain oxygen from air by fractional distillation because (a) oxygen has a lower density than nitrogen (b) oxygen has high boiling point than nitrogen (c) oxygen is more reactive than nitrogen (d) oxygen is in a different group of the periodic table from nitrogen.

Electrolysis of \(X\) gives \(Y\) at anode. Vacuum distillation of \(Y\) gives \(\mathrm{H}_{2} \mathrm{O}_{2} .\) The number of peroxy (O-O) bonds present in \(\mathrm{X}\) and \(\mathrm{Y}\) respectively are (a) 1,1 (b) 1,2 (c) zero, 1 (d) zero, zero

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