Pt ( s ) | H 2 ( g ) ( 1 ? bar ) | H + ( aq ) ( 1 M ) ? | | M 3 + ( aq ) , M + ( aq ) | Pt ( s ) The E cell for the given cell is 0.1115 V at 298 K when [ M + ( a q ) ] [ M 3 + ( a q ) ] = 10 a The value of a is _______. Given: E M 3 + / M + ?

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Solution

Q.
$Pt (s) | H_{2} (g)(1 bar) | H^{+} (aq) (1 M) | | M^{3 +} (aq), M^{+} (aq) | Pt (s)$

The $E_{cell}$ for the given cell is 0.1115 V at 298 K when $\frac{[M^{+} (a q)]}{[M^{3 +} (a q)]} = 10^{a}$

The value of $a$ is _______.

$Given: E_{M^{3 +} / M^{+}}^{θ} = 0.2 V$

$\frac{2.303 RT}{F} = 0.059 V$ [2023]

Ans.
(3)

$0.1115 = \frac{0.059}{2} \log \frac{[M^{+}]}{[M^{+ 3}]} or \frac{[M^{+}]}{[M^{+ 3}]} = 10^{3}$

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