Answered: A current of 5.65×104 A is passed…

Chemistry: The Molecular Science

5th Edition

ISBN:9781285199047

Author:John W. Moore, Conrad L. Stanitski

Publisher:John W. Moore, Conrad L. Stanitski

Chapter19: The Chemistry Of The Main-group Elements

Section: Chapter Questions

Problem 73QRT

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Question

A current of 5.65×10⁴ A is passed through an electrolysis cell containing molten KCl for 12.8 days.

(a) How many grams of potassium are produced?

____________g

(b) How many liters of chlorine are collected, if the gas is at a temperature of 273 K and a pressure of 1.00 atm?

_____________L

Expert Solution

Step 1

The charge is calculated as,

Q = It

I: Current (A)

t: time (s)

Step 2

For KCl

$1 m o l e o f e l e c t r o n i s r e q u i r e d t o r e d u c e i t f r o m K^{+} t o K Q = I t Q = 5.65 x 10^{4} x 12.8 x 24 x 60 x 60 Q = 6.24 x 10^{10} C$

Step 3

$1 m o l e o f e l e c t r o n p o s s e s s = 96500 C o f c h a r g e H e n c e t h e n u m b e r o f m o l e s o f P o t a s s i u m = \frac{6.24 \times 10^{10}}{96500} H e n c e t h e n u m b e r o f m o l e s o f P o t a s s i u m = 646632.12 m o l e s M a s s o f p o t a s s i u m p r o d u c e d = 646632.12 x 39 M a s s o f p o t a s s i u m p r o d u c e d = 25318652 g r a m s$

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