\( \text{Pt(s)} \mid \text{H}_2 \text{(g)} (1\text{bar}) \mid\mid \text{H}^+ \text{(aq)} (1\text{M}) \mid\mid \text{M}^{3+} \text{(aq)}, \text{M}^+ \text{(aq)} \mid \text{Pt (s)} \).
The \( E_{\text{cell}} \) for the given cell is \( 0.1115 \, \text{V} \) at \( 298 \, \text{K} \) when \( \dfrac{[\text{M}^+ \, (\text{aq})]}{[\text{M}^{3+} \, (\text{aq})]} = 10^a \). The value of \( a \) is ______. Given:
$\text{Given: } E^\theta_{\text{M}^{3+}/\text{M}^+} = 0.2\text{V}$
$\frac{2.303\text{RT}}{\text{F}} = 0.059\text{V}$
