General Principles of Metallurgy - Numerical Applications

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The General Principles of Metallurgy – Numerical Applications section focuses on quantitative problem-solving based on thermodynamics, electrochemistry, and process calculations involved in metal extraction and refining. This module is designed for Class 11–12 students, undergraduate learners, and competitive exam aspirants, where numerical reasoning strengthens conceptual clarity.

In this section, you will practice:

  • Gibbs free energy (ΔG) calculations for feasibility of metallurgical reactions

  • Ellingham diagram–based numericals – temperature dependence and reduction prediction

  • Stoichiometric calculations in roasting, calcination, and reduction reactions

  • Electrolytic extraction numericals – charge required, mass deposited (Faraday’s laws)

  • Ore concentration calculations – percentage purity and yield estimation

  • Flux–slag composition calculations in furnace reactions

  • Energy and efficiency-based numericals in metallurgical processes

  • Competitive exam–style numerical MCQs

  • Previous Year Numerical Questions (PYQs) with step-by-step solutions

The content is structured to bridge theory and calculation, improve speed and accuracy, and prepare students for numerical metallurgy questions in school exams, UG assessments, NEET, JEE, and CUET.

Master numerical applications in metallurgy to gain a strong quantitative edge in Inorganic Chemistry and handle calculation-based extraction problems confidently.

Q. In the context of metallurgy, what does the term 'calcination' refer to?
  • A. Heating ores in the presence of air
  • B. Heating ores in the absence of air
  • C. Dissolving ores in acid
  • D. Melting ores to separate metals
Q. In the extraction of metals, what is the role of a flux?
  • A. To increase the temperature of the reaction
  • B. To remove impurities
  • C. To provide energy for the reaction
  • D. To act as a catalyst
Q. What is the main advantage of using a blast furnace in metallurgy?
  • A. It is more energy-efficient than other methods
  • B. It can process large quantities of ore
  • C. It produces purer metals
  • D. It requires less raw material
Q. What is the main component of the alloy brass?
  • A. Copper and tin
  • B. Copper and zinc
  • C. Iron and carbon
  • D. Aluminum and copper
Q. What is the oxidation state of chromium in potassium dichromate (K2Cr2O7)?
  • A. 0
  • B. +3
  • C. +6
  • D. +7
Q. What is the primary purpose of the electrolytic refining process?
  • A. To increase the yield of metal
  • B. To purify the metal
  • C. To alloy metals
  • D. To reduce the cost of extraction
Q. What is the primary reaction type involved in the extraction of metals from their ores?
  • A. Decomposition
  • B. Synthesis
  • C. Displacement
  • D. Redox
Q. Which acid is commonly used in the leaching process for gold extraction?
  • A. Hydrochloric acid
  • B. Nitric acid
  • C. Sulfuric acid
  • D. Cyanide solution
Q. Which of the following acids is commonly used in the leaching process of metals?
  • A. Sulfuric acid
  • B. Hydrochloric acid
  • C. Nitric acid
  • D. Acetic acid
Q. Which of the following is a common reducing agent in metallurgy?
  • A. Oxygen
  • B. Carbon monoxide
  • C. Hydrogen
  • D. Nitrogen
Q. Which of the following metals is extracted using the electrolytic reduction method?
  • A. Iron
  • B. Aluminum
  • C. Copper
  • D. Zinc
Q. Which of the following metals is most commonly extracted from its ore using the hydrometallurgical process?
  • A. Gold
  • B. Iron
  • C. Aluminum
  • D. Lead
Q. Which of the following processes is used to concentrate ores?
  • A. Electrolysis
  • B. Leaching
  • C. Roasting
  • D. Smelting
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