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Standard XII

Chemistry

Factors Affecting Rate of Reaction

166. Consider...

Question

166. Consider the half-cell reaction0_2(g) 4H^+ (aq) + 4e^-→ 2H_20By what factor are n, Q, E and Eo changed if all thestoichiometric coefficients are multiplied by thefactor two

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E_{R P}^{o}

and their respective half reactions for some changes are given below:

(a)

M n O_{4}^{-} (a q) + 8 H^{+} + 5 e \to M n^{2 +} (a q) + 4 H_{2} O (l); E^{o} = + 1.52 V

(b)

M n O_{4}^{2 -} (a q) + 4 H^{+} + 2 e \to M n O_{2} (s) + 2 H_{2} O (l); E^{o} = + 2.26 V

(c)

2 M n O_{4}^{-} (a q) + 2 e \to 2 M n O_{4}^{2 -} (a q); E^{o} = + 0.56 V

(acid med.)
(d)

M n^{3 +} + e \to M n^{2 +}; E^{o} = + 1.51 V

(acid med.)
(e)

M n^{4 +} + e \to M n^{3 +}; E^{o} = 0.95 V

(acid med.)

The most stable oxidation state of Mn is :

Q. If the following half-reactions are combined in a galvanic cell, what will be the standard potential?
(Equation 1)

{C o}^{3 +} (a q) + e^{-} \to {C o}^{2 +} (a q)

;

E^{o} = 1.82 V

(Equation 2)

{N a}^{+} (a q) + e^{-} \to N a (s)

;

E^{o} = - 2.71 V

Q. Consider the following half cells

C u_{(s)} \to C u_{(a q)}^{2 +} + 2 e^{-}; E^{o} = - 0.325 V

C u_{(a q)}^{+} + e^{-} \to C u_{(s)}; E^{o} = 0.50 V

The

E^{o}

for the reaction

2 C u_{(a q)}^{+} \to C u_{(a q)}^{2 +} + C u_{(s)}

Consider a $70 %$ efficient hydrogen-oxygen fuel cell working under standard conditions at $1 bar$ and $298 K$ . Its cell reaction is

$H_{2} (g) + \frac{1}{2} O_{2} (g) \to H_{2} O (l)$
The work derived from the cell on the consumption of $1.0 \times 10^{- 3} mol$ of $H_{2} (g)$ is used to compress $1.00 mol$ of a monoatomic ideal gas in a thermally insulated container. What is the change in the temperature (in K) of the ideal gas?The standard reduction potentials for the two half-cells are given below.
$O_{2} (g) + 4 H^{+} (a q) + 4 e^{-} \to 2 H_{2} O (l), E^{o} = 1.23 V 2 H^{+} (a q) + 2 e^{-} \to H_{2} (g), E^{o} = 0.00 V$
Use $F = 96500 C m o l^{- 1}, R = 8.314 J m o l^{- 1} K^{- 1}$

Q. For the following half cell reactions,

E^{o}

values are also given:

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

;

E^{o} = - 1.23 V

M n O_{4}^{-} + 4 H^{+} + 3 e^{-} \to M n O_{2} + 2 H_{2} O

;

E^{o} = + 1.70 V

Select the correct statements.

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