At a certain temperature, C(s) + H2O(g) CO(g) + H2(g) has K_p1 = 1.6 atm and CO(g) + H2O(g) CO2(g) + H2(g) has K_p2 = 0.40. For C(s) + 2H2O(g) CO2(g) + 2H2(g) at the same temperature, K_p in atm is

JEE Main levelSingle correct optionDifficulty 2 of 3ce083

At a certain temperature, $C (s) + H X_{2} O (g) CO (g) + H X_{2} (g)$ has $K_{p 1} = 1.6$ atm and $CO (g) + H X_{2} O (g) CO X_{2} (g) + H X_{2} (g)$ has $K_{p 2} = 0.40$ . For $C (s) + 2 H X_{2} O (g) CO X_{2} (g) + 2 H X_{2} (g)$ at the same temperature, $K_{p}$ in atm is

Adding the two equations gives the required reaction (the

CO

cancels), so

K_{p} = K_{p 1} \times K_{p 2} = 1.6 \times 0.40 = 0.64

atm.