Dihydrogen gas used in Haber's process is produced by reacting methane from natural gas with high temperature steam. The first stage of the two `2` stage reaction involves the formation of `CO` and `H_(2)`. In second stage, `CO` formed in first stage is reacted with more steam in water gas shift reaction,
`CO(g)+H_(2)O(g) hArr CO_(2)(g)+H_(2)(g)`
If a reaction vessel at `400^(@)C` is charged with an equimolar mixture of `CO` and steam such that `p_(CO)=p_(H_(2)O)=4.0` bar, what will be the partial pressure of `H_(2)` at equilibrium? `K_(p)=10.1` at `400^(@)C`.

Explanation

To solve the problem, we will follow these steps:

### Step 1: Write the balanced chemical equation.
The reaction we are considering is:
\[ \text{CO(g)} + \text{H}_2\text{O(g)} \rightleftharpoons \text{CO}_2\text{(g)} + \text{H}_2\text{(g)} \]

### Step 2: Define the initial conditions.
We are given that the initial partial pressures of CO and H2O are both 4.0 bar. Therefore:
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