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What is the standard emf of following cell?
Chemistry | Chemistry | MHTCET
What is the standard emf of following cell?

N{{i}_{(s)}}|(1M)\,Ni_{(aq)}^{2+}||(1M)\,Au_{(aq)}^{3+}|Au\left( s \right)

if\,E_{Ni}^{\circ }=-0.25V,\,E_{Au}^{\circ }=1.50V

  1. -1.25 V
  2. 1.75 V
  3. 1.25 V
  4. -1.75 V

Solution: 1.75 V

3Ni+2A{{u}^{3+}}\,\,\to \,\,3N{{i}^{2+}}+2Au

Nernst\text{ }equation\,is\,given\,as:

{{E}_{cell}}={{E}_{0}}-\frac{0.059}{n}log\left[ \frac{{{(N{{i}^{2+}})}^{3}}}{{{(A{{u}^{3+}})}^{2}}} \right]

{{E}_{cell}}=\left( 1.50-\left( -0.25 \right) \right)-\frac{0.059}{n}log1

\therefore {{E}_{cell}}=1.75\,V

i

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