In which of the following cells, EMF is greater that $E_{c e l l}^{⊖}$ ?

P t, H_{2} (g) | H^{\oplus} (p H = 5) | | h^{\oplus} (p H = 3) | H_{2} (g), P t

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Z n (s) | Z n^{2 +} (0.2 M) | | C u^{2 +} (0.1 M) | C u (s)

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C r (s) | C r^{3 +} (0.1 M) | | C u^{2 +} (0.2 M) | C u (s)

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P t, H_{2} (g) | H^{\oplus} (p H = 4) | | H^{\oplus} (p H = 6) | H_{2} (g) | P t

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Solution

The correct option is C $P t, H_{2} (g) | H^{\oplus} (p H = 5) | | h^{\oplus} (p H = 3) | H_{2} (g), P t$
$E_{c e l l} = E_{c e l l}^{⊖} - \frac{0.059}{n_{c e l l}} l o g Q_{c e l l}$
For $E_{c e l l} > E_{c e l l}^{⊖}, Q_{c e l l} < 1$ (i.e. $l o g Q_{c e l l} < 0$ )
a. $H_{2} (1 a t m) + 2 H^{\oplus} (10^{- 3} M) \to 2 H^{\oplus} (10^{- 5} M) + H_{2} (1 a t m)$
b. $Z n (s) + C u^{2 +} (0.1 M) \to Z n^{2 +} (0.2 M) + C u (s) Q_{c e l l} = \frac{[Z n^{2 +}]}{C u^{2 +}]} = \frac{0.2}{0.1} = 2 > 1$
c. $2 C r (s) + 3 C u^{2 +} (0.2 M) \to 2 C r^{3 +} (0.1 M) + 3 C u (s) Q_{c e l l} = \frac{[C r^{3 +}]^{2}}{[C u^{2 +}]^{3}} = \frac{(0.1)^{2}}{(0.2)^{3}} > 1$
d. $H_{2} (1 a t m) + H^{\oplus} (10^{- 6} M) \to 2 H^{\oplus} (10^{- 4} M) + H_{2} (1 a t m)$
$Q_{c e l l} = \frac{(10^{- 4})^{2} \times 1}{1 \times (10^{- 6})^{2}} = 10^{4} > 1$ .

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In which of the following cells, EMF is greater that E⊖cell ?

In which of the following cells, EMF is greater that $E_{c e l l}^{⊖}$ ?