400mL of `CO_(2)` gas at 0.892 bar pressure and 800mL of `CH_(4)` gas at 0.921 bar pressure are put into a 2L flask. Calculate the total pressure of the mixture assuming temperature is kept constant.

Explanation

To solve the problem of calculating the total pressure of a mixture of gases, we will use the principles of gas laws, specifically Dalton's Law of Partial Pressures. Here’s a step-by-step breakdown of the solution:

### Step 1: Identify the Given Values
- Volume of CO₂ (V₁) = 400 mL
- Pressure of CO₂ (P₁) = 0.892 bar
- Volume of CH₄ (V₂) = 800 mL
- Pressure of CH₄ (P₂) = 0.921 bar
- Total volume of the flask (V_total) = 2 L = 2000 mL
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