Explanation Given data: Desired thickness of the zinc coating ( T ) is 100 nm. Area of the copper sheet ( A ) is 2.0 cm × 2.0 cm . Charge carriers in the ionic solution are divalent zinc ions. The density of the zinc ( ρ ) is 7140 kg m 3 . The operating current of the electroplating ( I ) is 1.0 mA . Formula used: Write the expression for operating current of the electroplating as follows. I = Q Δ t (1) Here, Q is the charge of the zinc ions, and Δ t is the time taken by the zinc coating to reach the desired thickness onto a the copper sheet for one side, which is to be determined. Write the expression for amount of charge of zinc ion flows through the copper sheet as follows. Q = n ′ F (2) Here, n ′ is the number of moles required, and F is the Faraday constant, which is 96485 C mol . As the charge carriers in the ionic solution are divalent zinc ions, write the expression for number of moles required as follows. n ′ = 2 n (3) Here, n is the number of moles required for single zinc ion. As the mole of the zinc ion is the ratio of mass of zinc to the atomic mass, write the expression for number of moles required for single zinc ion as follows n = m Zn ( m Zn ) amu (4) Here, m Zn is the mass of the zinc, and ( m Zn ) amu is the atomic mass of the zinc, which is 65.39 g mol . Write the expression for mass of the zinc. m Zn = ρ V (5) Here, ρ is the density of the zinc, and V is the volume of the copper sheet with the coating of zinc. Write the expression for volume of the copper sheet with the coating of zinc as follows. V = A T (6) Here, A is the area of the copper sheet, and T is the thickness of the zinc coating. As the coating required for both the sides of copper sheet write the expression for required time as follows. ( Δ t ) required = 2 Δ t (7) Explanation: Calculation of required time [ ( Δ t ) required ] : From equation (1), substitute ( Q I ) for Δ t in equation (7), ( Δ t ) required = 2 ( Q I ) From equation (2), substitute ( n ′ F ) for Q , ( Δ t ) required = 2 ( n ′ F I ) From equation (3), substitute 2 n for n ′ , ( Δ t ) required = 2 ( 2 n F I ) From equation (4), substitute [ m Zn ( m Zn ) amu ] for n , ( Δ t ) required = 2 { 2 [ m Zn

College Physics: A Strategic Approach, Books a la Carte Edition (4th Edition)

4th Edition

ISBN: 9780134700502

Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field

Publisher: PEARSON

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Question

Chapter 22, Problem 45GP

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To find: The time taken by the zinc coating to reach the desired thickness onto a copper sheet.

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Chapter 22, Problem 44GP

Chapter 22, Problem 46GP

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Chapter 22 Solutions

College Physics: A Strategic Approach, Books a la Carte Edition (4th Edition)

Ch. 22 - Prob. 2CQ Ch. 22 - Prob. 3CQ Ch. 22 - Prob. 4CQ Ch. 22 - All wires in Figure Q22.519 are made of the same...Ch. 22 - A wire carries a 4 A current. What is the current...Ch. 22 - Prob. 7CQ Ch. 22 - Cells in the nervous system have a potential...Ch. 22 - a. Which directionclockwise or...Ch. 22 - Prob. 10CQ Ch. 22 - Prob. 11CQ

Ch. 22 - The two circuits in Figure Q22.12 use identical...Ch. 22 - The two circuits in Figure Q22.13 use identical...Ch. 22 - Prob. 14CQ Ch. 22 - Rank in order, from largest to smallest, the...Ch. 22 - The circuit in Figure Q22.16 has three batteries...Ch. 22 - Prob. 17CQ Ch. 22 - Prob. 18CQ Ch. 22 - Over time, atoms boil off the hot filament in an...Ch. 22 - Prob. 20CQ Ch. 22 - A 100 W lightbulb is brighter than a 60 W...Ch. 22 - Lightbulbs are typically rated by their power...Ch. 22 - Lightbulbs are typically rated by their power...Ch. 22 - A copper wire is stretched so that its length...Ch. 22 - The potential difference across a length of wire...Ch. 22 - Prob. 26MCQ Ch. 22 - A resistor connected to a 3.0 V battery dissipates...Ch. 22 - If a 1.5 V battery stores 5.0 kJ of energy (a...Ch. 22 - Figure Q22.29 shows a side view of a wire of...Ch. 22 - A person gains weight by adding fatand therefore...Ch. 22 - Prob. 31MCQ Ch. 22 - The current in an electric hair dryer is 10 A. How...Ch. 22 - Prob. 2P Ch. 22 - Three wires meet at a junction. Wire 1 has a...Ch. 22 - When a nerve cell depolarizes, charge is...Ch. 22 - A wire carries a 15 A current. How many electrons...Ch. 22 - In a typical lightning strike, 2.5 C flows from...Ch. 22 - Prob. 7P Ch. 22 - In an ionic solution, 5.0 1015 positive ions with...Ch. 22 - Prob. 9P Ch. 22 - What are the values of currents IB and IC in...Ch. 22 - The currents through several segments of a wire...Ch. 22 - How much electric potential energy does 1.0 C of...Ch. 22 - What is the emf of a battery that increases the...Ch. 22 - A 9.0 V battery supplies a 2.5 mA current to a...Ch. 22 - Prob. 16P Ch. 22 - An electric catfish can generate a significant...Ch. 22 - A Wire with resistance R is connected to the...Ch. 22 - Wires 1 and 2 are made of the same metal. Wire 2...Ch. 22 - Prob. 20P Ch. 22 - Resistivity measurements on the leaves of corn...Ch. 22 - Prob. 22P Ch. 22 - A motorcyclist is making an electric vest that,...Ch. 22 - Prob. 24P Ch. 22 - A 3.0 V potential difference is applied between...Ch. 22 - Prob. 26P Ch. 22 - Prob. 27P Ch. 22 - Prob. 28P Ch. 22 - Figure P22.29 shows the...Ch. 22 - Figure P22.30 is a...Ch. 22 - In Example 22.6 the length of a 60 W, 240 ...Ch. 22 - The electric field inside a 30-cm-long copper wire...Ch. 22 - A copper wire is 1.0 mm in diameter and carries a...Ch. 22 - Two identical lightbulbs are connected in series...Ch. 22 - Prob. 35P Ch. 22 - a. What is the resistance of a 1500 W (120 V) hair...Ch. 22 - Prob. 37P Ch. 22 - A 70 W electric blanket runs at 18 V. a. What is...Ch. 22 - A 60-cm-long heating wire is connected to a 120 V...Ch. 22 - An electric eel develops a potential difference of...Ch. 22 - Prob. 41P Ch. 22 - A 3.0 V battery powers a flashlight bulb that has...Ch. 22 - A heating element in a toaster dissipates 900 W...Ch. 22 - Prob. 44GP Ch. 22 - Prob. 45GP Ch. 22 - The hot dog cooker described in the chapter heats...Ch. 22 - Air isnt a perfect electric insulator, but it has...Ch. 22 - The biochemistry that takes place inside cells...Ch. 22 - High-resolution measurements have shown that an...Ch. 22 - When an ion channel opens in a cell wall (see...Ch. 22 - The total charge a battery can supply is rated in...Ch. 22 - Prob. 52GP Ch. 22 - The heating element of a simple heater consists of...Ch. 22 - Variations in the resistivity of blood can give...Ch. 22 - A 40 W (120 V) lightbulb has a tungsten filament...Ch. 22 - Prob. 56GP Ch. 22 - When the starter motor on a car is engaged, there...Ch. 22 - Prob. 58GP Ch. 22 - The two segments of the wire in Figure P22.59 have...Ch. 22 - Prob. 60GP Ch. 22 - Prob. 61GP Ch. 22 - Prob. 62GP Ch. 22 - Prob. 63GP Ch. 22 - Prob. 64GP Ch. 22 - An immersion heater used to boil water for a...Ch. 22 - The graph in Figure P22.66 shows the current...Ch. 22 - Its possible to estimate the percentage of fat in...Ch. 22 - If you touch the two terminals of a power supply...Ch. 22 - The average resistivity of the human body (apart...Ch. 22 - MCAT-Style Passage Problems Lightbulb Failure...Ch. 22 - MCAT-Style Passage Problems Lightbulb Failure...Ch. 22 - MCAT-Style Passage Problems Lightbulb Failure...Ch. 22 - MCAT-Style Passage Problems Lightbulb Failure...

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