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Given the following reactions with their corresponding equilibrium constant:

$$C{ H }_{ 4 }(g) + { H }_{ 2 }O(g)\rightleftarrows CO(g) + 3{ H }_{ 2 }(g) \quad \quad {K}_{1}$$
$$C(s, \text{graphite}) + { H }_{ 2 }O(g)\rightleftarrows CO(g) + { H }_{ 2 }(g) \quad \quad {K}_{2}$$

What is the equilibrium constant for the following reaction in terms of ${K}_{1}$ and ${K}_{2}$?

$$C{ H }_{ 4 }(g) \rightleftarrows C(s,\text{graphite}) + 2{ H }_{ 2 }(g)$$

A

${ K }_{ 1 } - { K }_{ 2 }$

B

${ K }_{ 1 } + { K }_{ 2 }$

C

$\cfrac{{ K }_{ 1 }}{{ K }_{ 2 }}$

D

${ K }_{ 1 } \times { K }_{ 2 }$

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