Electrochemistry

At 298 K, a 1 litre solution containing 10 mmol of \(\mathrm{C{r_2}O_7^{2 - }}\) and 100 mmol of \(\mathrm{Cr^{3+}}\) shows a pH of 3.0.

Given : \(\mathrm{C{r_2}O_7^{2 - } \to C{r^{3 + }}\,;\,E^\circ = 1.330}\)V

and \(\mathrm{{{2.303\,RT} \over F} = 0.059}\) V

The potential for the half cell reaction is \(x\times10^{-3}\) V. The value of \(x\) is __________