Observe the following cell
\[
M(s)\;|\;M^{2+}(xM)\;||\;H^+(0.02M)\;|\;H_2(g,1\,bar)\;,\;Pt(s)
\]
What is the value of \(x\)?
Given:
\[
\frac{2.303RT}{F}=0.06V
\]
\[
E^\circ_{M^{2+}|M}=-0.14V
\]
\[
E^\circ_{H^+|H_2}=0.0V
\]
\[
E_{cell}=0.077V
\]
\[
\log 4=0.602
\]
\[
\text{antilog}(2.7)=0.05,\qquad
\text{antilog}(2.60)=0.04
\]