Consider a voltaic cell based on the following cell reaction:
Ni(s) + At2(s) ? Ni2+(aq) + 2At– (aq)
Given that the standard cell emf is 0.55 V, what is the standard reduction potential for astatine? [E°(Ni2+/Ni) = –0.25 V]

Respuesta :

Answer:

[tex]E^0_{[At_2/At^-]}=0.30V[/tex]

Explanation:

[tex]Ni+At_{2}\rightarrow Ni^{2+}+2At^-[/tex]

Here Ni undergoes oxidation by loss of electrons, thus act as anode. At undergoes reduction by gain of electrons and thus act as cathode.

[tex]E^0=E^0_{cathode}- E^0_{anode}[/tex]

Where both [tex]E^0[/tex] are standard reduction potentials.

[tex]E^0_{[Ni^{2+}/Mg]}= -0.25V[/tex]

[tex]E^0_{[At_2/At^-]}=?[/tex]

[tex]E^0_{cell}=0.55V[/tex]

[tex]E^0=E^0_{[At_2/At^-]}- E^0_{[Ni^{2+}/Mg]}[/tex]

[tex]0.55V=E^0_{[At_2/At^-]-(-0.25V)[/tex]

[tex]E^0_{[At_2/At^-]}=0.30V[/tex]