At what temperature will hydrogen molecules have the same `KE` as nitrogen molecules at `280 K`?

Options

A. `280 K`
B. `40 K`
C. `400 K`
D. `50 K`

Explanation

To find the temperature at which hydrogen molecules have the same kinetic energy as nitrogen molecules at 280 K, we can follow these steps:

### Step 1: Understand the Kinetic Energy Formula
The kinetic energy (KE) of a gas is given by the formula:
\[ KE = \frac{3}{2} R T \]
where:
- \( KE \) = kinetic energy
- \( R \) = universal gas constant
...