Question 19

For the following electrochemical cell at 298 K,
$$Pt(s) \mid H_2(g, 1 bar) \mid H^+(aq, 1M) \parallel M^{4+}(aq), M^{2+}(aq) \mid Pt(s)$$
$$E_{cell} = 0.092 V$$ and when $$\frac{[M^{2+}(aq)]}{[M^{4+}(aq)]} = 10^x$$.
Given : $$E_{\frac{M^{4+}}{M^{2+}}}^{0} = 0.15 V; 2.303 \frac{RT}{F} = 0.059 V$$
The value of x is

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