At what temperature will `O_(2)` molecules have the same root mean square speed as `N_(2)` molecules at `227^(@C` ?

Explanation

To solve the problem of finding the temperature at which \( O_2 \) molecules will have the same root mean square speed as \( N_2 \) molecules at \( 227^\circ C \), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the formula for root mean square speed (VRMS)**:
The formula for the root mean square speed of a gas is given by:
\[
v_{rms} = \sqrt{\frac{3RT}{M}}
...