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Chemistry Question on Electrochemistry

Pt(s)∣H2(g)(1bar)∣H(aq)+(1M)∣∣M(aq)3+,M(aq)+∣Pt(s)Pt(s) | H_{2_{(g)}} (1 bar) | H^{+}_{(aq)}(1M) || M^{3+}_{(aq)}, M^{+}_{(aq)} | Pt(s)
The Ecell for the given cell is 0.1115 V at 298 K when [M+(aq)[M3+(aq)]=10a\frac{[M^+(aq)}{[M^{3+}(aq)]}=10^{a}
The value of a is _________
Given: EM3+/M+θ=0.2  VE^{\theta}_{M^{3+}/M^+}=0.2\;V
2.303RTF=0.059V\frac{2.303RT}{F}=0.059V

Answer

The value of a is 3.