Given the following information at 298 K: 1.5 {cc SnO_2 (s) + 2 H_2 (g)…

Given the following information at 298 K:
SnO2(s)+2H2(g)Sn(s)+2H2O(g)K1=8.12H2(g)+CO2(g)H2O(g)+CO(g)K2=0.771\def\arraystretch{1.5} \begin{array}{cc} SnO_2 (s) + 2 H_2 (g) ⇌ Sn (s) + 2 H_2 O (g) & K_1 = 8.12 \\ H_2 (g) + CO_2 (g) ⇌ H_2 O (g) + CO (g) &K_2 = 0.771 \end{array}
Determine the K for the overall reaction: SnO2(s)+2CO(g)Sn(s)+2CO2(g).SnO_2 (s) + 2 CO (g) ⇌ Sn (s) + 2 CO_2 (g).
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