Redox Reactions And Electrochemistry Ques 732
Question: The electrolysis of acetate solution produces ethane according to reaction:
$ 2CH_3CO{O^{-}}\xrightarrow{{}}C_2H_6(g)+2CO_2(g)+2{e^{-}} $ The current efficiency of the process is 80%. What volume of gases would be produced at $ 27{}^\circ C $ and 740 torr, if the current of 0.5 A is passed through the solution for 96.45 min-
Options:
A) 6.0 L
B) 0.60 L
C) 1.365 L
D) 0.91 L
Show Answer
Answer:
Correct Answer: D
Solution:
[d] Equivalents of $ CO_2 $ produced $ =\frac{( I\times \eta )\times t}{96500} $ $ =\frac{0.5\times 0.8\times 96.5\times 60}{96500}=0.024 $
Moles of $ CO_2(n=1) $ produced = 0.024
Moles of $ C_2H_6( n=2 ) $ produced $ =\frac{0.024}{2}=0.012 $
Total moles of gases produced = 0.036 $ V_{gases}=\frac{nRT}{P}=\frac{0.036\times 0.0821\times 300}{( \frac{740}{760} )}=0.91L $
