`0.5 mol` of `H_(2)`, `SO_(2)`, and `CH_(4)` is kept in a container. A hole was made in the container. After `3 hours`, the order of partial pressure in the container will be

Options

A. `P_(SO_(2))gtP_(CH_(4))gtP_(H_(2))`
B. `P_(H_(2))gtP_(SO_(2))gtP_(CH_(4))`
C. `P_(CH_(4))gtP_(SO_(2))gtP_(H_(2))`
D. `P_(CH_(4))gtP_(H_(2))gtP_(SO_(2))`

Explanation

To solve the problem regarding the order of partial pressures of gases in a container after a hole has been made, we can follow these steps:

### Step 1: Understand the Concept of Partial Pressure
The partial pressure of a gas in a mixture is defined as the pressure that gas would exert if it occupied the entire volume alone. It is given by the formula:
\[ P_i = P_{total} \times \chi_i \]
where \( P_i \) is the partial pressure of gas \( i \), \( P_{total} \) is the total pressure, and \( \chi_i \) is the mole fraction of gas \( i \).

### Step 2: Identify the Molar Masses of the Gases
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