Fuel cell involves which of the following reaction(s) ?

O_{2} (g) + 2 H_{2} O (l) + 4 e^{-} \to 4 O H^{-} (a q .)

(at cathode)

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O_{2} (g) + 2 H_{2} O (l) + 4 e^{-} \to 4 O H^{-} (a q .)

(at anode)

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2 H_{2} (g) + 4 O H^{-} (a q .) \to 4 H_{2} O (l) + 4 e^{-}

(at anode)

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2 H_{2} (g) + 4 O H^{-} (a q .) \to 4 H_{2} O (l) + 4 e^{-}

(at cathode)

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Solution

The correct options are
A $O_{2} (g) + 2 H_{2} O (l) + 4 e^{-} \to 4 O H^{-} (a q .)$ (at cathode)
B $2 H_{2} (g) + 4 O H^{-} (a q .) \to 4 H_{2} O (l) + 4 e^{-}$ (at anode)
Question approach,
at anode- loss of electron takes place,
at cathode- gain of electron takes place,
in option B, at anode gain of electron is talking place and in option D at cathode, loss of elctron is taking place;
so, both these statements are wrong
option A and C are representing the Hydrogen fuel cell reactions
hence, both A and C are correct options.

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Similar questions

In $H_{2} - O_{2}$ fuel cell the reaction occuring at cathode is:

	Column I		Column II
(A)	$P b_{(s)} + S O_{4 (a q)}^{- 2} \to P b S O_{4 (s)} + 2 e^{-}$	(i)	Rusting of iron
(B)	$2 S O_{4 (a q)}^{2 -} \to S_{2} O_{8 (a q)}^{2 -} + 2 e^{-}$	(ii)	Reaction at anode in lead storage battery
(C)	$2 H_{2 (g)} + 4 O H_{(a q)}^{-} \to 4 H_{2} O_{(l)} + 4 e^{-}$	(iii)	Electrolysis of concentrated $H_{2} S O_{4}$
(D)	$2 F e_{(s)} + O_{2 (g)} + 4 H_{(a q)}^{+} \to 2 F e_{(a q)}^{2 +} + 2 H_{2} O_{(l)}$	(iv)	Reaction at anode in fuel cell