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Question

Question: Given : <img src="https://cdn.pureessence.tech/canvas_112.png?top_left_x=930&top_left_y=894&width=3...

Given :

calculate the equilibrium constant for Hg22+Hg + Hg2+ .\text{H}{\text{g}_{2}}^{\text{2+}} \rightarrow \text{Hg + H}\text{g}^{\text{2+}}\text{ .}

A

3.13 × 10-3

B

3.13 × 10-4

C

6.26 × 10-3

D

6.26 × 10-4

Answer

6.26 × 10-3

Explanation

Solution

+ 2e 2Hg , 0.789 VoltHg  Hg2+ + 2e , -0.854 VoltHg22+ Hg + Hg2+ , -0.065 VoltΔ G = - 2× (- 0.065) × 96500 = -8.314 × 298 ln Keq. ;Keq.= 6.3 × 10-3\text{+ 2}\text{e}^{-}\ \overset{\quad\quad}{\rightarrow}\text{2Hg , 0.789 VoltHg }\overset{\quad\quad}{\rightarrow}\text{ H}\text{g}^{\text{2+}}\text{ + 2}\text{e}^{-}\text{ , -0.854 VoltH}{\text{g}_{2}}^{\text{2+}}\ \overset{\quad\quad}{\rightarrow}\text{Hg + H}\text{g}^{\text{2+}}\text{ , -0.065 Volt}\Delta\text{ G = - 2}\text{×}\text{ }(\text{- 0.065})\text{ }\text{×}\text{ 96500 = -8.314 }\text{×}\text{ 298 ln }\text{K}_{\text{eq.}}\text{ ;}\text{K}_{\text{eq.}}\text{= 6.3 }\text{×}\text{ 1}\text{0}^{\text{-3}}