### Electrochemistry Problem on Voltaic Cells**Question Overview:**A voltaic cell using Cu²⁺/Cu and Al³⁺/Al half-cells is set up at standard conditions. Each compartment has a volume of 225 mL. Calculate the concentration of Al³⁺ ions after the cell has delivered 0.120 A for 29.0 hours at 25°C. Use the following standard electrode potentials:- \( E^° \) for Cu²⁺/Cu = 0.340 V- \( E^° \) for Al³⁺/Al = -1.660 V---**Solution Steps:**1. **Calculate Total Charge Delivered:** Convert the current and time into Coulombs: \[ \text{Charge (Q)} = \text{Current (I)} \times \text{Time (t)} \] \[ Q = 0.120 \, \text{A} \times (29.0 \, \text{hours} \times 3600 \, \text{seconds/hour}) \]2. **Calculate Moles of Electrons:** Using the formula: \[ \text{Moles of electrons} = \frac{Q}{F} \] where \( F \) is Faraday's constant (96485 C/mol).3. **Determine Moles of Al³⁺ Reacted:** Balance the reaction and calculate moles of Al³⁺ formed or reacted.4. **Calculate Final Concentration of Al³⁺:** Using: \[ \text{Concentration} = \frac{\text{Moles}}{\text{Volume (L)}} \]**Inputs and Controls:**- Below the question is a keypad that can be used for inputting answers.- Additional resources and tips can be accessed by tapping on the designated area.**Note:**This problem exemplifies a real-world application of electrochemical principles, combining theoretical knowledge with practical calculations commonly encountered in chemistry and physics studies.

First we would Calculate the charge using the current and time. Then we would calculate moles of…

A voltaic cell using Cu²+/Cu and Al³+/Al half-cells is set up at standard conditions, and each compartment has a volume of 225 mL. What is the [Al³+] after the cell has delivered 0.120 A for 29.0 hours at 25°C? (E° for Cu²+/ Cu = 0.340 V and Eº for Al³+/AI = -1.660 V.)

A voltaic cell using Cu²+/Cu and Al³+/Al half-cells is set up at standard conditions, and each compartment has a volume of 225 mL. What is the [Al³+] after the cell has delivered 0.120 A for 29.0 hours at 25°C? (E° for Cu²+/ Cu = 0.340 V and Eº for Al³+/AI = -1.660 V.)

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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