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 can use Boyle's Law, which states that the pressure of a gas is inversely proportional to its volume when temperature is held constant.

### Step-by-Step Solution:

1. **Identify the Given Values:**
- For `CO2`:
- Initial Volume \( V_{1, CO2} = 400 \, \text{mL} = 0.400 \, \text{L} \)
- Initial Pressure \( P_{1, CO2} = 0.892 \, \text{bar} \)
...