An ideal, isothermal, reversible fuel cell with reactants of oxygen and hydrogen, and a product of water operates at a temperature of \(400 \mathrm{~K}\) and a pressure of 1 bar. If the operating temperature increases to \(410 \mathrm{~K}\) what must be the new pressure if the open circuit voltage is maintained constant? The values of \(K_{p_{\mathrm{r}}}\) are

\(K_{p_{\mathrm{r}}}=1.8134 \times 10^{29} \mathrm{bar}^{-1 / 2}\) at \(400 \mathrm{~K}\) and \(2.4621 \times 10^{28} \mathrm{bar}^{-1 / 2}\) at \(410 \mathrm{~K}\).

[2.029 bar]