At what temperature will the rms velocity of `CO_(2)` be same as the average velocity of `SO_(2)` at 500K? 

Explanation

To solve the problem of finding the temperature at which the root mean square (RMS) velocity of CO₂ is equal to the average velocity of SO₂ at 500 K, we will follow these steps:

### Step-by-Step Solution:

1. **Understand the Formulas**:
- The formula for the RMS velocity (\( V_{rms} \)) is given by:
\[
V_{rms} = \sqrt{\frac{3RT}{M}}
...