`0.0014kg` of nitrogen is enclosed in a vessel at a temperature of `27^(@)C`. How much heat has to be transferred to the gas to double the rms speed of its molecules.

Explanation

To solve the problem of how much heat must be transferred to double the root mean square (rms) speed of nitrogen gas molecules, we will follow these steps:

### Step 1: Convert the mass of nitrogen to grams
Given mass of nitrogen \( m = 0.0014 \, \text{kg} \).

To convert kg to grams:
\[
m = 0.0014 \, \text{kg} \times 1000 \, \text{g/kg} = 1.4 \, \text{g}
...