The partial pressure of `CH_(3)OH_((g))`, `CO_((g))` and `H_(2(g))` in equilibrium mixture for the reaction, `CO_((g))+2H_(2(g))hArrCH_(3)OH_((g))` are `2.0`, `1.0` and `0.1` atm respectively at `427^(@)C`. The value of `K_(P)` for deomposition of `CH_(3)OH` to `CO` and `H_(2)` is:

Explanation

To find the value of \( K_P \) for the decomposition of \( CH_3OH \) to \( CO \) and \( H_2 \), we will follow these steps:

### Step 1: Write the balanced equation for the decomposition reaction.
The decomposition of methanol can be represented as:
\[ CH_3OH(g) \rightleftharpoons CO(g) + 2H_2(g) \]

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