Problem 1
Question
The SI unit of electrochemical equivalent is (a) \(\mathrm{kg} \mathrm{C}\) (b) \(\mathrm{C} \mathrm{kg}^{-1}\) (c) \(\mathrm{kg} \mathrm{C}^{-1}\) (d) \(\mathrm{kg}^{2} \mathrm{C}^{-1}\)
Step-by-Step Solution
Verified Answer
The SI unit is (c) \( \mathrm{kg} \mathrm{C}^{-1} \).
1Step 1: Understanding Electrochemical Equivalent
Electrochemical equivalent (
x")) is the mass of a substance deposited or dissolved by the passage of one coulomb of electric charge. It relates to how mass changes with the current.
2Step 2: Identifying the SI Unit
The formula for electrochemical equivalent (x")) is: \[ x = \frac{\text{mass (kg)}}{\text{charge (C)}} \] Therefore, the unit for electrochemical equivalent is \( \mathrm{kg} \mathrm{C}^{-1}\).
3Step 3: Choosing the Correct Option
From the given options, \( \mathrm{kg} \mathrm{C}^{-1}\) corresponds to option (c), which means that the correct choice is option (c).
Key Concepts
SI UnitsCoulombsMass Deposition
SI Units
The International System of Units, abbreviated as SI, is a globally accepted metric system used for scientific measurements. It ensures consistency in how quantities are expressed everywhere in the world. The system is based on seven base units, including meters (m), kilograms (kg), and seconds (s). These units are foundational for constructing other derived units.
For example, when we talk about electrochemical equivalent, the SI unit is given by the ratio of mass to charge. Here, the involved units are kilograms (kg) for mass and coulombs (C) for charge. Hence, the SI unit for electrochemical equivalent becomes a combination of these, expressed as kg C-1. The use of SI units ensures that calculations are accurate and universally understood without ambiguity.
For example, when we talk about electrochemical equivalent, the SI unit is given by the ratio of mass to charge. Here, the involved units are kilograms (kg) for mass and coulombs (C) for charge. Hence, the SI unit for electrochemical equivalent becomes a combination of these, expressed as kg C-1. The use of SI units ensures that calculations are accurate and universally understood without ambiguity.
Coulombs
Coulombs, with the symbol C, are the SI unit of electric charge. The concept of coulombs is central to the study of electricity and electrochemistry. One coulomb equates to the charge transported by a constant current of one ampere in one second.
Understanding coulombs allows us to quantify how charge moves through a circuit. This is crucial in processes like electrolysis, where charge flow directly affects chemical transformations. In context, the electrochemical equivalent tells us how much mass will change for every coulomb passing through a circuit, linking the abstract concept of electrical charge directly to a tangible weight or mass change.
Understanding coulombs allows us to quantify how charge moves through a circuit. This is crucial in processes like electrolysis, where charge flow directly affects chemical transformations. In context, the electrochemical equivalent tells us how much mass will change for every coulomb passing through a circuit, linking the abstract concept of electrical charge directly to a tangible weight or mass change.
Mass Deposition
Mass deposition refers to the process of depositing mass, typically metal, via electrochemical reactions. This phenomenon is typically observed in electroplating and is measured through the electrochemical equivalent, which tells us how much mass is deposited per coulomb of electrical charge.
Understanding the concept of mass deposition is vital in applications like refining metals, manufacturing jewelry, and applying protective coatings. For each coulomb of charge passed, a certain mass of the substance will be deposited. The efficiency and effectiveness of these processes depend on accurately calculating how much mass is deposited, as dictated by the electrochemical equivalent with its specific SI unit, kg C-1.
Understanding the concept of mass deposition is vital in applications like refining metals, manufacturing jewelry, and applying protective coatings. For each coulomb of charge passed, a certain mass of the substance will be deposited. The efficiency and effectiveness of these processes depend on accurately calculating how much mass is deposited, as dictated by the electrochemical equivalent with its specific SI unit, kg C-1.
- This measure is important for controlling the electrolysis process.
- It helps in predicting how much material will be used or deposited.
Other exercises in this chapter
Problem 2
The sum of numbers 436.32, \(227.2\) and \(0.301\) in appropriate significant figures in (a) \(663.821\) (b) 664 (c) \(663.8\) (d) \(663.82\)
View solution Problem 3
In the equation \(X=3 Y Z^{2}, X\) and \(Z\) have dimensions of capacitance and magnetic induction respectively. In MKSQ system, the dimensional formula of \(Y\
View solution Problem 4
Given that \(r=m^{2} \sin p t\), where \(t\) represents time. If the unit of \(m\) is \(\mathrm{N}\), then the unit of \(r\) is (a) \(N\) (b) \(\mathrm{N}^{2}\)
View solution