Solid carbon, \( \mathrm{CaO} \) and \( \mathrm{CaCO_3} \) are mixed and allowed to attain equilibrium at \( T \ \mathrm{K} \).
\( \mathrm{CaCO_3(s)} \rightleftharpoons \mathrm{CaO(s)} + \mathrm{CO_2(g)}; \ K_{p1} = 0.08 \ \mathrm{atm} \)
\( \mathrm{C(s)} + \mathrm{CO_2(g)} \rightleftharpoons 2\mathrm{CO(g)}; \ K_{p2} = 2 \ \mathrm{atm} \)
The partial pressure of \( \mathrm{CO} \) is ______ \( \times 10^{-1} \) \( \mathrm{atm} \).