Write the Nernst equation and emf of the following cells at $298 K$ :
(i) $M g (s) | M g^{+ 2} (0.001 M) ∥ C u^{+ 2} (0.0001 M) | C u (s)$ .
(ii) $F e (s) | F e^{+ 2} (0.001 M) ∥ H^{+} (1 M) | H_{2} (g) (1 b a r) | P t (s)$
(iii) $S n (s) | S n^{2 +} (0.050 M) ∥ H^{+} (0.020 M) | H_{2} (g) (1 b a r) | P t (s)$
(iv) $P t (s) | B r_{2} (l) | B r^{-} (0.010 M) ∥ H^{+} (0.030 M) | H_{2} (g) (1 b a r) | P t (s)$ .

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Solution

$(i)$ $E^{o} = 0.34 - (- 2.37) = 2.71$ V
$E = E^{0} - \frac{0.059}{n} l o g \frac{[M g^{2 +}]}{[C u^{2 +}]}$
$E = 2.71 - \frac{0.059}{2} l o g \frac{0.001}{(0.0001)}$
$E = 2.6805$ V
$(i i)$ $E^{o} = 0 - (- 0.44) = 0.44$ V
$E = E^{0} - \frac{0.059}{n} l o g \frac{[F e^{2 +}]}{[H^{+}]^{2}}$
$E = 0.44 - \frac{0.059}{2} l o g \frac{0.001}{(1)^{2}}$
$E = 0.5285$ V
$(i i i)$ $E^{o} = 0 - (- 0.14) = 0.14$ V
$E = E^{0} - \frac{0.059}{n} l o g \frac{[S n^{2 +}]}{[H^{+}]^{2}}$
$E = 0.14 - \frac{0.059}{2} l o g \frac{0.050}{(0.020)^{2}}$
$E = 0.08$ V
$(i v)$ $E^{o} = 0 - 1.08 = - 1.08$ V
$E = E^{0} - \frac{0.059}{2} l o g \frac{1}{[B r^{-}]^{2} [H^{+}]^{2}}$
$E = - 1.08 - \frac{0.059}{2} l o g \frac{1}{(0.01)^{2} (0.030)^{2}}$
$E = - 1.288$ V

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Similar questions

Write the Nernst equation and emf of the following cells at 298 K:

(i) Mg(s) | Mg²⁺(0.001M) || Cu²⁺(0.0001 M) | Cu(s)

(ii) Fe(s) | Fe²⁺(0.001M) || H⁺(1M)|H₂(g)(1bar) | Pt(s)

(iii) Sn(s) | Sn²⁺(0.050 M) || H⁺(0.020 M) | H₂(g) (1 bar) | Pt(s)

(iv) Pt(s) | Br₂(l) | Br⁻(0.010 M) || H⁺(0.030 M) | H₂(g) (1 bar) | Pt(s).

Write the Nernst equation and emf of the following cells at 298 K:

(i) $M g (s) | M g^{2 +} (0.001 M) | | C u^{2 +} (0.001 M) | C u (s)$

(ii) $F e (s) | F e^{2 +} (0.001 M) | | H^{+} (1 M) | H_{2} (g) (1 b a r) | P t (s)$

(iii) $S n (s) | S n^{2 +} (0.050 M) | | H^{+} (0.020 M) | H_{2} (g) (1 b a r) | P t (s)$

(iv) $P t (s) | B r_{2} (l) | B r^{-} (0.010 M) | | H^{+} (0.030 M) | H_{2} (g) (1 b a r | P t (s))$

$E_{(\frac{M g^{2 +}}{M g})}^{\circ} = - 2.37 V; E_{(\frac{C u^{2 +}}{C u})}^{\circ} = + 0.34 V; E_{(\frac{F e^{2 +}}{F e})}^{\circ} = - 0.44 V; E_{(\frac{S n^{2 +}}{S n})}^{\circ} = - 0.14 V; E_{(\frac{\frac{1}{B r_{2}}}{B r^{-}})}^{\circ} = + 1.08 V,$

Q. Mark the correct Nernst equation for the given cell.

F e_{(s)} | F e^{2 +} (0.001 M) | H^{+} (1 M) | H_{2 (g)} (1 b a r) | P t_{(s)}

Q. The correct Nernst equation for the given cell

P t_{(s)} | B r_{2 (l)} | B r^{-} (M) | | H^{+} (M) | H_{2 (g)} (1 b a r) | P t_{(s)}

is?

Q. Calculate the emf of the following cell at

298 K

F e (s) | F e^{2 +} (0.001 M) | | H^{+} (1 M) | H_{2} (g) (1 b a r), P t (s)

(Given:

E_{c e l l}^{\circ} = + 0.44 V

)

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Write the Nernst equation and emf of the following cells at 298 K:(i) Mg(s)|Mg+2(0.001 M)∥Cu+2(0.0001 M)|Cu(s).(ii) Fe(s)|Fe+2(0.001 M)∥H+(1M)|H2(g)(1bar)|Pt(s)(iii) Sn(s)|Sn2+(0.050 M)∥H+(0.020 M)|H2(g)(1bar)|Pt(s)(iv) Pt(s)|Br2(l)|Br−(0.010 M)∥H+(0.030 M)|H2(g)(1bar)|Pt(s).