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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Calculate the e.m.f. of the following cell. Mg | Mg⁢++(aq) |⁢| Ag⁢+(aq) | Ag If E⁢∘Mg = −2.37 Volt and E⁢∘Ag = 0.8 Volt.

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प्रश्न

Calculate the e.m.f. of the following cell.

\[\ce{Mg | Mg{^{++}_{(aq)}} || Ag{^+_{(aq)}} | Ag}\]

If \[\ce{E^\circ_{Mg}}\] = −2.37 Volt and \[\ce{E^\circ_{Ag}}\] = 0.8 Volt.

संख्यात्मक
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उत्तर

Given: \[\ce{E^\circ_{Mg}}\] = −2.37 Volt

\[\ce{E^\circ_{Ag}}\] = 0.8 Volt.

\[\ce{Mg | Mg{^{++}_{(aq)}} || Ag{^+_{(aq)}} | Ag}\]

Anode (Oxidation): \[\ce{Mg -> Mg++ + 2e-}\]

Cathode (Reduction): \[\ce{Ag+ + e- -> Ag}\]

The standard e.m.f. of the cell is calculated using the formula:

\[\ce{E{^{\circ}_{cell}} = E{^{\circ}_{cathode}} - E{^{\circ}_{anode}}}\]

= 0.80 − (−2.37)

= 0.80 + 2.37

= 3.17 V

∴ The e.m.f. of the given cell is 3.17 Volts. 

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