Chapter 9: Problem 144
A current of 15 amp is employed to plate Nickel in a \(\mathrm{NiSO}_{4}\) bath. Both \(\mathrm{Ni}\) and \(\mathrm{H}_{2}\) are formed at the cathode. If \(9.9 \mathrm{~g}\) of \(\mathrm{Ni}\) are deposited with the simultaneous liberation of \(2.51\) litres of \(\mathrm{H}_{2}\) measured at STP, what is the current efficiency for the deposition of Ni? (Atomic weight of \(\mathrm{Ni}=58.7\) ) (a) \(60 \%\) (b) \(70 \%\) (c) \(80 \%\) (d) \(56 \%\)
Short Answer
Step by step solution
Calculate Moles of Nickel Deposited
Determine Charge Required for Nickel Deposition
Calculate Total Charge Passed
Calculate Current Efficiency
Find the Correct Option
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Current efficiency
- When electric current flows, not only desired metal cations get deposited but other reactions might also occur, such as hydrogen evolution.
- The goal is to ensure a high percentage of the total current is used for the nickel deposition and not wasted on side reactions.
Nickel deposition
- The process occurs at the cathode where the positively charged \( \text{Ni}^{2+} \) ions are attracted.
- Via electrochemical reactions, these ions gain two electrons each to become neutral nickel atoms which then form a thin layer.
- The current density must be managed.
- The solution should be evenly mixed.
- Temperature should be kept constant during the process.
Electrochemistry
- It involves understanding how electricity can facilitate chemical transformations.
- Specifically, how electric current drives the reduction of metal ions at the cathode.
- The movement of \( \text{Ni}^{2+} \) ions towards the cathode.
- Their acceptance of electrons to become solid nickel metal.
- At the cathode (negative electrode), reduction reactions occur where electrons are gained, depositing nickel.
- At the anode, often oxidation reactions occur where electrons are lost.
- Current efficiencies.
- Predict how much metal will deposit for a given charge.
- Monitor side reactions such as hydrogen formation.
Faraday's laws of electrolysis
- The amount of substance deposited or dissolved at an electrode is directly proportional to the quantity of electricity passed through the electrolyte.
- The amount of chemical change is also proportional to the equivalent weight of the substance.
- The first law allows us to calculate the charge required to deposit a specific mass of nickel.
- The second law can compare the deposition of different substances under similar electrical conditions.
- \( Q \) is the total electric charge.
- \( E \) is the equivalent weight of nickel.
- \( F \) is Faraday's constant, approximately 96500 C/mol.