
Concept explainers
How much copper metal can be produced by
(a)0.276 mol(b)0.138 mol(c)0.552 mol(d)5.14×109 mol(e)2.00 mol

Interpretation:
The number of moles of copper metal deposited during the electrolysis of copper ion solution is to be determined.
Concept introduction:
The relation between the current, time taken and the charge is as follows:
Current(A)× Time(s)= Charge(C)
Here, A is ampere, the S. I. unit of current, s
is second, the S. I. unit of time, and C is coulomb, the S. I. unit of charge.
The relationship between the number of moles of electrons and the number of moles of metal is as follows:
Number of moles of metal=Number of moles of e−×1 mol metaln mol e−
Answer to Problem 1KSP
Solution: Option (b).
Explanation of Solution
The reduction half-reaction for copper metal is as follows:
Cu2+ + 2e− → Cu
Therefore, two moles of electrons are needed to reduce one mole of copper metal.
The number of moles of copper metal deposited after electrolysis when 1.85 A of current is passed for four hours, is determined as follows:
Charge (coulomb) = Current (ampere) × time (second)
(1.85 A × 4.00 h×60min1 h×60 s1 min) = 26640 C
The number of moles of electrons required to reduce copper metal is calculated as follows:
Number of moles of e− =Charge(C)96,500 C/mol e−Number of moles of e− =( 26640 C96,500 C/mol e− )Number of moles of e−=0.2760 mol e−
Now, the number of moles of copper metal reduced is calculated as follows:
Number of moles of metal=(0.2760 mol e−×1 mol Cu2 mol e−)Number of moles of metal= 0.138 mol Cu
Hence, option (b) is correct.
Reason for incorrect options:
Option (a) is incorrect because on solving with the help of the above equation, the answers do not match with option (a).
Option (c) is incorrect because on solving with the help of the above equation, the answers do not match with option (c).
Option (d) is incorrect because on solving with the help of the above equation, the answers do not match with option (d).
Option (e) is incorrect because on solving with the help of the above equation, the answers do not match with option (e).
Hence, options (a), (c), (d), and (e) are incorrect.
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Chapter 19 Solutions
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