Answer to Question #167416 in General Chemistry for Tjamilon

Question #167416

A sodium sulfate solution was electrolyzed using inert Pt electrodes. The cathode reaction was: 2 H2 0  +  2 e -  →  H2  + 2 OH-. If a current of 3.0 amp was used for 30 min, what weight of H2 gas would be produced? 


1
Expert's answer
2021-03-02T01:03:12-0500

Given, Current "i=3Amp."

Time "t=30min=30\\times 60=1800s"


Cathode Reaction:

"2H_2O+2e^-\\rightarrow H_2+2OH^-"


Then Amount of charge passes "Q=I\\times t=3\\times 1800" columbs.

The amount of chlorine liberated by passing "3\\times 1800" coulomb of electric charge.  "=\\dfrac{2}{2\\times 96500}\\times3\\times 1800=0.05595 mole"



Volume of "H_2"  liberated at NTP "= 0.05595\\times 22.4 = 1.2534 L"


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