A mixture contains `8g He` and `14 g N_(2)` in a vessel at `300K`. How much heat is required to increase the rms speed of these molecules to double their value. Also calculate the final temperatures.

Explanation

To solve the problem, we need to follow these steps:

### Step 1: Calculate the number of moles of each gas.
- For Helium (He):
\[ \text{Molar mass of He} = 4 \, \text{g/mol} \]
\[
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