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10 gram of hydrogen is liberated by the electrolysis of NaOH s

Question

10 gram of hydrogen is liberated by the electrolysis of NaOH solution at the cost of Rs.20. The cost of current to liberate 10gram of oxygen under similar conditions is in :

Rs.1.50

Rs.20

Rs 2.50

Rs. 25

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10 gram of hydrogen is liberated by the electrolysis of NaOH solution at the cost of Rs.20. The cost of current to liberate 10gram of oxygen under similar conditions is in :

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Text solutionVerified

10 g H_{2} \Rightarrow \frac{10}{2} = 5 m o l es o f H_{2}

2 H^{+} + 2 e^{-} \to H_{2}

1 mole

H_{2}

requires 2 moles

e^{-}

∴ m o l e o f e^{-} = 5 \times 2 = 10 m o l e e^{-}

10 m o l e e^{-} c ha r g e cos t R s 20

∴ 1 m o l e cos t s = \frac{R s 20}{10} = R s 2

10 g O_{2} = \frac{10}{32} m o l es o f O_{2}

4 O H^{-} \to O_{2} + 2 H_{2} O + 4 e^{-}

1 mole

O H^{-}

liberates 4 mole of

e^{-}

∴ \frac{10}{32} m o l es l ib er a t e = \frac{10 \times 4}{32} = \frac{5}{4} m o l e e^{-}

∴ p r i ce o f e l ec t r i c i t y = \frac{5}{4} \times 2 = R s 2.5

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Question Text	10 gram of hydrogen is liberated by the electrolysis of NaOH solution at the cost of Rs.20. The cost of current to liberate 10gram of oxygen under similar conditions is in :
Answer Type	Text solution:1
Upvotes	150

10 gram of hydrogen is liberated by the electrolysis of NaOH solution at the cost of Rs.20. The cost of current to liberate 10gram of oxygen under similar conditions is in :

Text solutionVerified

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