Introductory Chemistry (6th Edition)
Introductory Chemistry (6th Edition)
6th Edition
ISBN: 9780134302386
Author: Nivaldo J. Tro
Publisher: PEARSON
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Chapter 16, Problem 116DIA

Data Interpretation and Analysis

We can use electrochemical cells to measure the concentrations of certain species in solution because the voltage of the cell is sensitive to the concentrations of the reactants and products in the redox reaction associated with the cell. For example, the voltage of electrochemical cell based on the reaction H 2 ( g ) + Cu 2 + ( a q ) 2 H + ( a q ) + Cu ( s ) is sensitive to both the Cu 2 +

concentration and the H + concentration in solution. If the H + concentration is held constant, then the voltage only depends on the Cu 2 + concentration, and we can use the cell to measure the Cu 2 + concentration in an unknown solution.

When using an electrochemical cell for this purpose, chemists often make voltage measurement of several Cu 2 + solutions of known concentrations and construct a calibration curve, a graph that shows the relationship between voltage and concentration. The calibration curve can be used to determine the concentration of an unknown solution based on the voltage associated with that solution. The tabulated data show the measured voltage in the hydrogen/copper electrochemical cell just discussed for several different Cu 2 + concentrations. Examine the data and answer the questions that follow.

Cu 2 + Voltage (V)
0.100 0.310
0.200 0.319
0.300 0.325
0.400 0.328
0.500 0.331
0.700 0.335
1.00 0.340

a. Construct a graph of the measured voltage versus the log of the copper concentration. Is the graph linear?

b. Determine the slope and y

-intercept of the best fitting line to the points in your graph from part a.

c. The voltage of two unknown solutions are measured and recorded. Use the slope and intercept from part b, together with the equation, voltage = slope × log [ Cu 2 + ] + y intercept , to determine the Cu 2 + concentrations of the unknown solutions.

Unknown Cu 2 + Solution Voltage (V)
i 0.303
ii 0.338
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Chapter 16 Solutions

Introductory Chemistry (6th Edition)

Ch. 16 - 1. What is a fuel-cell electric vehicle? Ch. 16 - Prob. 2ECh. 16 - Prob. 3ECh. 16 - Prob. 4ECh. 16 - Prob. 5ECh. 16 - Prob. 6ECh. 16 - Prob. 7ECh. 16 - Prob. 8ECh. 16 - Prob. 9ECh. 16 - Prob. 10ECh. 16 - Prob. 11ECh. 16 - Prob. 12ECh. 16 - Prob. 13ECh. 16 - Prob. 14ECh. 16 - Prob. 15ECh. 16 - Prob. 16ECh. 16 - Prob. 17ECh. 16 - Prob. 18ECh. 16 - Prob. 19ECh. 16 - 20. Any half-reaction in the activity series will...Ch. 16 - How can you use the activity series to determine...Ch. 16 - What is electrical current? Explain how a simple...Ch. 16 - Prob. 23ECh. 16 - Prob. 24ECh. 16 - Prob. 25ECh. 16 - Prob. 26ECh. 16 - Prob. 27ECh. 16 - Prob. 28ECh. 16 - Prob. 29ECh. 16 - Prob. 30ECh. 16 - Prob. 31ECh. 16 - Prob. 32ECh. 16 - Prob. 33ECh. 16 - Prob. 34ECh. 16 - Prob. 35ECh. 16 - Prob. 36ECh. 16 - Prob. 37ECh. 16 - 38. For each of the reactions in Problem 36,...Ch. 16 - Prob. 39ECh. 16 - Prob. 40ECh. 16 - Prob. 41ECh. 16 - Prob. 42ECh. 16 - Prob. 43ECh. 16 - Prob. 44ECh. 16 - 45. Assign an oxidation state to each element or...Ch. 16 - Prob. 46ECh. 16 - 47. Assign an oxidation state to each atom in each...Ch. 16 - Prob. 48ECh. 16 - Prob. 49ECh. 16 - Prob. 50ECh. 16 - Prob. 51ECh. 16 - Prob. 52ECh. 16 - Prob. 53ECh. 16 - Prob. 54ECh. 16 - Prob. 55ECh. 16 - Prob. 56ECh. 16 - Prob. 57ECh. 16 - Assign an oxidation state to each element in each...Ch. 16 - 59. Use oxidation states to identify the oxidizing...Ch. 16 - Prob. 60ECh. 16 - 61. Balance each redox reaction using the...Ch. 16 - Prob. 62ECh. 16 - Classify each half-reaction occurring in acidic...Ch. 16 - 64. Classify each half-reaction occurring in...Ch. 16 - Use the half-reaction method to balance each redox...Ch. 16 - Use the half-reaction method to balance each redox...Ch. 16 - Prob. 67ECh. 16 - Prob. 68ECh. 16 - Balance each redox reaction occurring in basic...Ch. 16 - Prob. 70ECh. 16 - Prob. 71ECh. 16 - Prob. 72ECh. 16 - Prob. 73ECh. 16 - Prob. 74ECh. 16 - Prob. 75ECh. 16 - Prob. 76ECh. 16 - 77. Determine whether each redox occurs...Ch. 16 - Prob. 78ECh. 16 - 79. Suppose you wanted to cause ions to come out...Ch. 16 - Prob. 80ECh. 16 - Prob. 81ECh. 16 - 82. Which metal in the activity series is oxidized...Ch. 16 - Prob. 83ECh. 16 - Prob. 84ECh. 16 - Prob. 85ECh. 16 - 86. Make a sketch of an electrochemical cell with...Ch. 16 - Prob. 87ECh. 16 - The following reaction occurs at the cathode of an...Ch. 16 - Prob. 89ECh. 16 - Prob. 90ECh. 16 - Prob. 91ECh. 16 - Make a sketch of an electrolysis cell that could...Ch. 16 - Prob. 93ECh. 16 - Prob. 94ECh. 16 - 95. Determine whether each reaction is a redox...Ch. 16 - Prob. 96ECh. 16 - Consider the unbalanced redox reaction....Ch. 16 - Prob. 98ECh. 16 - Prob. 99ECh. 16 - Prob. 100ECh. 16 - Prob. 101ECh. 16 - 102. A 1.012-mL sample of a salt containing is...Ch. 16 - Prob. 103ECh. 16 - Prob. 104ECh. 16 - Determine whether HI can dissolve each metal...Ch. 16 - 106. Determine whether HI can dissolve each metal...Ch. 16 - Prob. 107ECh. 16 - 108. One graduated cylinder containing 1.00 mL of...Ch. 16 - Prob. 109ECh. 16 - Prob. 110ECh. 16 - Prob. 111ECh. 16 - Prob. 112ECh. 16 - 113. Consider the molecular view of an...Ch. 16 - Which of your group’s cells do you think would...Ch. 16 - Data Interpretation and Analysis 116. We can use...
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