What is the mass of H2 and O2 produced water electrolysis?

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SUMMARY

The electrolysis of 2 moles of H2O at 15 amps for 1 hour produces 0.55 grams of H2 and 4.47 grams of O2. The calculations utilize Faraday's Law of Electrolysis, where the total charge (Q) is calculated using the formula Q = n(e-) x F, with F being 96500 C. The resulting mole ratio of hydrogen to oxygen confirms the expected 2:1 ratio, validating the accuracy of the calculations presented.

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Homework Statement


2 moles of H2O undergoes electrolysis at 15 amps for 1 hour. What is the mass of H2 and O2 gas produced?

Homework Equations


4 H+(aq) + 4e−→ 2H2(g)

2 H2O(l) → O2(g) + 4 H+(aq) + 4e−

Faraday's Law of Electrolysis
Q = n(e-) x F

The Attempt at a Solution



F = 96500C

(15*3600s*4g)/(F*4)=0.55g H2

(15*3600s*32g)/(F*4)=4.47g O2
 
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Isn't that the correct solution?
 
PhyStudent20 said:
Isn't that the correct solution?

I think so. I've seen a few other methods, but this one seems the simplest.
 
You can check your calculation accuracy by converting the gram - values to moles. For water, moles H2(g) produced should be 2x moles of O2 produced. Your numbers do confirm this => 0.55g H2 = 0.28 mole H2 and 4.47g O2 = 0.14 mole O2 which is 2:1 ratio of H to O. Good job.
 

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